def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
This function performs all of the GDPopt solver setup and problem
validation. It then calls upon helper functions to construct the
initial master approximation and iteration loop.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}), preserve_implicit=True)
config.set_value(kwds)
if config.strategy is None:
msg = 'Please specify solution strategy. Options are: \n'
msg += ' LOA: Logic-based Outer Approximation\n'
msg += ' GLOA: Global Logic-based Outer Approximation\n'
msg += ' LBB: Logic-based Branch and Bound\n'
msg += ' RIC: Relaxation with Integer Cuts'
raise ValueError(msg)
with setup_solver_environment(model, config) as solve_data:
self._log_solver_intro_message(config)
solve_data.results.solver.name = 'GDPopt %s - %s' % (str(
self.version()), config.strategy)
# Verify that objective has correct form
process_objective(solve_data, config)
# Presolve LP or NLP problems using subsolvers
presolved, presolve_results = presolve_lp_nlp(solve_data, config)
if presolved:
# TODO merge the solver results
return presolve_results # problem presolved
if solve_data.active_strategy in {'LOA', 'GLOA', 'RIC'}:
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
GDPopt_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
GDPopt_iteration_loop(solve_data, config)
elif solve_data.active_strategy == 'LBB':
_perform_branch_and_bound(solve_data)
else:
raise ValueError('Unrecognized strategy: ' + config.strategy)
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
This function performs all of the GDPopt solver setup and problem
validation. It then calls upon helper functions to construct the
initial master approximation and iteration loop.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
with setup_solver_environment(model, config) as solve_data:
self._log_solver_intro_message(config)
solve_data.results.solver.name = 'GDPopt %s - %s' % (str(
self.version()), config.strategy)
# Verify that objective has correct form
process_objective(solve_data, config)
# Presolve LP or NLP problems using subsolvers
presolved, presolve_results = presolve_lp_nlp(solve_data, config)
if presolved:
# TODO merge the solver results
return presolve_results # problem presolved
if solve_data.active_strategy in {'LOA', 'GLOA'}:
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
GDPopt_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
GDPopt_iteration_loop(solve_data, config)
elif solve_data.active_strategy == 'LBB':
_perform_branch_and_bound(solve_data)
return solve_data.results
def solve(self, model, **kwds):
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
return SolverFactory('gdpopt').solve(
model,
strategy='LBB',
minlp_solver=config.solver,
minlp_solver_args=config.solver_args,
tee=config.tee,
check_sat=config.check_sat,
logger=config.logger,
time_limit=config.time_limit)
# Validate model to be used with gdpbb
self.validate_model(model)
# Set solver as an MINLP
solve_data = GDPbbSolveData()
solve_data.timing = Container()
solve_data.original_model = model
solve_data.results = SolverResults()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total', is_main_timer=True), \
restore_logger_level(config.logger), \
create_utility_block(model, 'GDPbb_utils', solve_data):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info(
"Starting GDPbb version %s using %s as subsolver" %
(".".join(map(str, self.version())), config.solver))
# Setup results
solve_data.results.solver.name = 'GDPbb - %s' % (str(
config.solver))
setup_results_object(solve_data, config)
# clone original model for root node of branch and bound
root = solve_data.working_model = solve_data.original_model.clone()
# get objective sense
process_objective(solve_data, config)
objectives = solve_data.original_model.component_data_objects(
Objective, active=True)
obj = next(objectives, None)
solve_data.results.problem.sense = obj.sense
# set up lists to keep track of which disjunctions have been covered.
# this list keeps track of the relaxed disjunctions
root.GDPbb_utils.unenforced_disjunctions = list(
disjunction
for disjunction in root.GDPbb_utils.disjunction_list
if disjunction.active)
root.GDPbb_utils.deactivated_constraints = ComponentSet([
constr
for disjunction in root.GDPbb_utils.unenforced_disjunctions
for disjunct in disjunction.disjuncts
for constr in disjunct.component_data_objects(ctype=Constraint,
active=True)
if constr.body.polynomial_degree() not in (1, 0)
])
# Deactivate nonlinear constraints in unenforced disjunctions
for constr in root.GDPbb_utils.deactivated_constraints:
constr.deactivate()
# Add the BigM suffix if it does not already exist. Used later during nonlinear constraint activation.
if not hasattr(root, 'BigM'):
root.BigM = Suffix()
# Pre-screen that none of the disjunctions are already predetermined due to the disjuncts being fixed
# to True/False values.
# TODO this should also be done within the loop, but we aren't handling it right now.
# Should affect efficiency, but not correctness.
root.GDPbb_utils.disjuncts_fixed_True = ComponentSet()
# Only find top-level (non-nested) disjunctions
for disjunction in root.component_data_objects(Disjunction,
active=True):
fixed_true_disjuncts = [
disjunct for disjunct in disjunction.disjuncts
if disjunct.indicator_var.fixed
and disjunct.indicator_var.value == 1
]
fixed_false_disjuncts = [
disjunct for disjunct in disjunction.disjuncts
if disjunct.indicator_var.fixed
and disjunct.indicator_var.value == 0
]
for disjunct in fixed_false_disjuncts:
disjunct.deactivate()
if len(fixed_false_disjuncts) == len(
disjunction.disjuncts) - 1:
# all but one disjunct in the disjunction is fixed to False. Remaining one must be true.
if not fixed_true_disjuncts:
fixed_true_disjuncts = [
disjunct for disjunct in disjunction.disjuncts
if disjunct not in fixed_false_disjuncts
]
# Reactivate the fixed-true disjuncts
for disjunct in fixed_true_disjuncts:
newly_activated = ComponentSet()
for constr in disjunct.component_data_objects(Constraint):
if constr in root.GDPbb_utils.deactivated_constraints:
newly_activated.add(constr)
constr.activate()
# Set the big M value for the constraint
root.BigM[constr] = 1
# Note: we use a default big M value of 1
# because all non-selected disjuncts should be deactivated.
# Therefore, none of the big M transformed nonlinear constraints will need to be relaxed.
# The default M value should therefore be irrelevant.
root.GDPbb_utils.deactivated_constraints -= newly_activated
root.GDPbb_utils.disjuncts_fixed_True.add(disjunct)
if fixed_true_disjuncts:
assert disjunction.xor, "GDPbb only handles disjunctions in which one term can be selected. " \
"%s violates this assumption." % (disjunction.name, )
root.GDPbb_utils.unenforced_disjunctions.remove(
disjunction)
# Check satisfiability
if config.check_sat and satisfiable(root, config.logger) is False:
# Problem is not satisfiable. Problem is infeasible.
obj_value = obj_sign * float('inf')
else:
# solve the root node
config.logger.info("Solving the root node.")
obj_value, result, var_values = self.subproblem_solve(
root, config)
if obj_sign * obj_value == float('inf'):
config.logger.info(
"Model was found to be infeasible at the root node. Elapsed %.2f seconds."
% get_main_elapsed_time(solve_data.timing))
if solve_data.results.problem.sense == minimize:
solve_data.results.problem.lower_bound = float('inf')
solve_data.results.problem.upper_bound = None
else:
solve_data.results.problem.lower_bound = None
solve_data.results.problem.upper_bound = float('-inf')
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = 0
solve_data.results.solver.termination_condition = tc.infeasible
return solve_data.results
# initialize minheap for Branch and Bound algorithm
# Heap structure: (ordering tuple, model)
# Ordering tuple: (objective value, disjunctions_left, -total_nodes_counter)
# - select solutions with lower objective value,
# then fewer disjunctions left to explore (depth first),
# then more recently encountered (tiebreaker)
heap = []
total_nodes_counter = 0
disjunctions_left = len(root.GDPbb_utils.unenforced_disjunctions)
heapq.heappush(heap,
((obj_sign * obj_value, disjunctions_left,
-total_nodes_counter), root, result, var_values))
# loop to branch through the tree
while len(heap) > 0:
# pop best model off of heap
sort_tuple, incumbent_model, incumbent_results, incumbent_var_values = heapq.heappop(
heap)
incumbent_obj_value, disjunctions_left, _ = sort_tuple
config.logger.info(
"Exploring node with LB %.10g and %s inactive disjunctions."
% (incumbent_obj_value, disjunctions_left))
# if all the originally active disjunctions are active, solve and
# return solution
if disjunctions_left == 0:
config.logger.info("Model solved.")
# Model is solved. Copy over solution values.
original_model = solve_data.original_model
for orig_var, val in zip(
original_model.GDPbb_utils.variable_list,
incumbent_var_values):
orig_var.value = val
solve_data.results.problem.lower_bound = incumbent_results.problem.lower_bound
solve_data.results.problem.upper_bound = incumbent_results.problem.upper_bound
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = total_nodes_counter
solve_data.results.solver.termination_condition = incumbent_results.solver.termination_condition
return solve_data.results
# Pick the next disjunction to branch on
next_disjunction = incumbent_model.GDPbb_utils.unenforced_disjunctions[
0]
config.logger.info("Branching on disjunction %s" %
next_disjunction.name)
assert next_disjunction.xor, "GDPbb only handles disjunctions in which one term can be selected. " \
"%s violates this assumption." % (next_disjunction.name, )
new_nodes_counter = 0
for i, disjunct in enumerate(next_disjunction.disjuncts):
# Create one branch for each of the disjuncts on the disjunction
if any(disj.indicator_var.fixed
and disj.indicator_var.value == 1
for disj in next_disjunction.disjuncts
if disj is not disjunct):
# If any other disjunct is fixed to 1 and an xor relationship applies,
# then this disjunct cannot be activated.
continue
# Check time limit
if get_main_elapsed_time(
solve_data.timing) >= config.time_limit:
if solve_data.results.problem.sense == minimize:
solve_data.results.problem.lower_bound = incumbent_obj_value
solve_data.results.problem.upper_bound = float(
'inf')
else:
solve_data.results.problem.lower_bound = float(
'-inf')
solve_data.results.problem.upper_bound = incumbent_obj_value
config.logger.info('GDPopt unable to converge bounds '
'before time limit of {} seconds. '
'Elapsed: {} seconds'.format(
config.time_limit,
get_main_elapsed_time(
solve_data.timing)))
config.logger.info(
'Final bound values: LB: {} UB: {}'.format(
solve_data.results.problem.lower_bound,
solve_data.results.problem.upper_bound))
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = total_nodes_counter
solve_data.results.solver.termination_condition = tc.maxTimeLimit
return solve_data.results
# Branch on the disjunct
child = incumbent_model.clone()
# TODO I am leaving the old branching system in place, but there should be
# something better, ideally that deals with nested disjunctions as well.
disjunction_to_branch = child.GDPbb_utils.unenforced_disjunctions.pop(
0)
child_disjunct = disjunction_to_branch.disjuncts[i]
child_disjunct.indicator_var.fix(1)
# Deactivate (and fix to 0) other disjuncts on the disjunction
for disj in disjunction_to_branch.disjuncts:
if disj is not child_disjunct:
disj.deactivate()
# Activate nonlinear constraints on the newly fixed child disjunct
newly_activated = ComponentSet()
for constr in child_disjunct.component_data_objects(
Constraint):
if constr in child.GDPbb_utils.deactivated_constraints:
newly_activated.add(constr)
constr.activate()
# Set the big M value for the constraint
child.BigM[constr] = 1
# Note: we use a default big M value of 1
# because all non-selected disjuncts should be deactivated.
# Therefore, none of the big M transformed nonlinear constraints will need to be relaxed.
# The default M value should therefore be irrelevant.
child.GDPbb_utils.deactivated_constraints -= newly_activated
child.GDPbb_utils.disjuncts_fixed_True.add(child_disjunct)
if disjunct in incumbent_model.GDPbb_utils.disjuncts_fixed_True:
# If the disjunct was already branched to True from a parent disjunct branching, just pass
# through the incumbent value without resolving. The solution should be the same as the parent.
total_nodes_counter += 1
ordering_tuple = (obj_sign * incumbent_obj_value,
disjunctions_left - 1,
-total_nodes_counter)
heapq.heappush(heap, (ordering_tuple, child, result,
incumbent_var_values))
new_nodes_counter += 1
continue
if config.check_sat and satisfiable(
child, config.logger) is False:
# Problem is not satisfiable. Skip this disjunct.
continue
obj_value, result, var_values = self.subproblem_solve(
child, config)
total_nodes_counter += 1
ordering_tuple = (obj_sign * obj_value,
disjunctions_left - 1,
-total_nodes_counter)
heapq.heappush(heap,
(ordering_tuple, child, result, var_values))
new_nodes_counter += 1
config.logger.info(
"Added %s new nodes with %s relaxed disjunctions to the heap. Size now %s."
% (new_nodes_counter, disjunctions_left - 1, len(heap)))
def solve(self, model, **kwds):
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
# Validate model to be used with gdpbb
self.validate_model(model)
# Set solver as an MINLP
solve_data = GDPbbSolveData()
solve_data.timing = Container()
solve_data.original_model = model
solve_data.results = SolverResults()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total', is_main_timer=True), \
restore_logger_level(config.logger), \
create_utility_block(model, 'GDPbb_utils', solve_data):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info(
"Starting GDPbb version %s using %s as subsolver"
% (".".join(map(str, self.version())), config.solver)
)
# Setup results
solve_data.results.solver.name = 'GDPbb - %s' % (str(config.solver))
setup_results_object(solve_data, config)
# clone original model for root node of branch and bound
root = solve_data.working_model = solve_data.original_model.clone()
# get objective sense
process_objective(solve_data, config)
objectives = solve_data.original_model.component_data_objects(Objective, active=True)
obj = next(objectives, None)
obj_sign = 1 if obj.sense == minimize else -1
solve_data.results.problem.sense = obj.sense
# set up lists to keep track of which disjunctions have been covered.
# this list keeps track of the relaxed disjunctions
root.GDPbb_utils.unenforced_disjunctions = list(
disjunction for disjunction in root.GDPbb_utils.disjunction_list if disjunction.active
)
root.GDPbb_utils.deactivated_constraints = ComponentSet([
constr for disjunction in root.GDPbb_utils.unenforced_disjunctions
for disjunct in disjunction.disjuncts
for constr in disjunct.component_data_objects(ctype=Constraint, active=True)
if constr.body.polynomial_degree() not in (1, 0)
])
# Deactivate nonlinear constraints in unenforced disjunctions
for constr in root.GDPbb_utils.deactivated_constraints:
constr.deactivate()
# Add the BigM suffix if it does not already exist. Used later during nonlinear constraint activation.
if not hasattr(root, 'BigM'):
root.BigM = Suffix()
# Pre-screen that none of the disjunctions are already predetermined due to the disjuncts being fixed
# to True/False values.
# TODO this should also be done within the loop, but we aren't handling it right now.
# Should affect efficiency, but not correctness.
root.GDPbb_utils.disjuncts_fixed_True = ComponentSet()
# Only find top-level (non-nested) disjunctions
for disjunction in root.component_data_objects(Disjunction, active=True):
fixed_true_disjuncts = [disjunct for disjunct in disjunction.disjuncts
if disjunct.indicator_var.fixed
and disjunct.indicator_var.value == 1]
fixed_false_disjuncts = [disjunct for disjunct in disjunction.disjuncts
if disjunct.indicator_var.fixed
and disjunct.indicator_var.value == 0]
for disjunct in fixed_false_disjuncts:
disjunct.deactivate()
if len(fixed_false_disjuncts) == len(disjunction.disjuncts) - 1:
# all but one disjunct in the disjunction is fixed to False. Remaining one must be true.
if not fixed_true_disjuncts:
fixed_true_disjuncts = [disjunct for disjunct in disjunction.disjuncts
if disjunct not in fixed_false_disjuncts]
# Reactivate the fixed-true disjuncts
for disjunct in fixed_true_disjuncts:
newly_activated = ComponentSet()
for constr in disjunct.component_data_objects(Constraint):
if constr in root.GDPbb_utils.deactivated_constraints:
newly_activated.add(constr)
constr.activate()
# Set the big M value for the constraint
root.BigM[constr] = 1
# Note: we use a default big M value of 1
# because all non-selected disjuncts should be deactivated.
# Therefore, none of the big M transformed nonlinear constraints will need to be relaxed.
# The default M value should therefore be irrelevant.
root.GDPbb_utils.deactivated_constraints -= newly_activated
root.GDPbb_utils.disjuncts_fixed_True.add(disjunct)
if fixed_true_disjuncts:
assert disjunction.xor, "GDPbb only handles disjunctions in which one term can be selected. " \
"%s violates this assumption." % (disjunction.name, )
root.GDPbb_utils.unenforced_disjunctions.remove(disjunction)
# Check satisfiability
if config.check_sat and satisfiable(root, config.logger) is False:
# Problem is not satisfiable. Problem is infeasible.
obj_value = obj_sign * float('inf')
else:
# solve the root node
config.logger.info("Solving the root node.")
obj_value, result, var_values = self.subproblem_solve(root, config)
if obj_sign * obj_value == float('inf'):
config.logger.info("Model was found to be infeasible at the root node. Elapsed %.2f seconds."
% get_main_elapsed_time(solve_data.timing))
if solve_data.results.problem.sense == minimize:
solve_data.results.problem.lower_bound = float('inf')
solve_data.results.problem.upper_bound = None
else:
solve_data.results.problem.lower_bound = None
solve_data.results.problem.upper_bound = float('-inf')
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = 0
solve_data.results.solver.termination_condition = tc.infeasible
return solve_data.results
# initialize minheap for Branch and Bound algorithm
# Heap structure: (ordering tuple, model)
# Ordering tuple: (objective value, disjunctions_left, -total_nodes_counter)
# - select solutions with lower objective value,
# then fewer disjunctions left to explore (depth first),
# then more recently encountered (tiebreaker)
heap = []
total_nodes_counter = 0
disjunctions_left = len(root.GDPbb_utils.unenforced_disjunctions)
heapq.heappush(
heap, (
(obj_sign * obj_value, disjunctions_left, -total_nodes_counter),
root, result, var_values))
# loop to branch through the tree
while len(heap) > 0:
# pop best model off of heap
sort_tuple, incumbent_model, incumbent_results, incumbent_var_values = heapq.heappop(heap)
incumbent_obj_value, disjunctions_left, _ = sort_tuple
config.logger.info("Exploring node with LB %.10g and %s inactive disjunctions." % (
incumbent_obj_value, disjunctions_left
))
# if all the originally active disjunctions are active, solve and
# return solution
if disjunctions_left == 0:
config.logger.info("Model solved.")
# Model is solved. Copy over solution values.
original_model = solve_data.original_model
for orig_var, val in zip(original_model.GDPbb_utils.variable_list, incumbent_var_values):
orig_var.value = val
solve_data.results.problem.lower_bound = incumbent_results.problem.lower_bound
solve_data.results.problem.upper_bound = incumbent_results.problem.upper_bound
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = total_nodes_counter
solve_data.results.solver.termination_condition = incumbent_results.solver.termination_condition
return solve_data.results
# Pick the next disjunction to branch on
next_disjunction = incumbent_model.GDPbb_utils.unenforced_disjunctions[0]
config.logger.info("Branching on disjunction %s" % next_disjunction.name)
assert next_disjunction.xor, "GDPbb only handles disjunctions in which one term can be selected. " \
"%s violates this assumption." % (next_disjunction.name, )
new_nodes_counter = 0
for i, disjunct in enumerate(next_disjunction.disjuncts):
# Create one branch for each of the disjuncts on the disjunction
if any(disj.indicator_var.fixed and disj.indicator_var.value == 1
for disj in next_disjunction.disjuncts if disj is not disjunct):
# If any other disjunct is fixed to 1 and an xor relationship applies,
# then this disjunct cannot be activated.
continue
# Check time limit
if get_main_elapsed_time(solve_data.timing) >= config.time_limit:
if solve_data.results.problem.sense == minimize:
solve_data.results.problem.lower_bound = incumbent_obj_value
solve_data.results.problem.upper_bound = float('inf')
else:
solve_data.results.problem.lower_bound = float('-inf')
solve_data.results.problem.upper_bound = incumbent_obj_value
config.logger.info(
'GDPopt unable to converge bounds '
'before time limit of {} seconds. '
'Elapsed: {} seconds'
.format(config.time_limit, get_main_elapsed_time(solve_data.timing)))
config.logger.info(
'Final bound values: LB: {} UB: {}'.
format(solve_data.results.problem.lower_bound, solve_data.results.problem.upper_bound))
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.iterations = total_nodes_counter
solve_data.results.solver.termination_condition = tc.maxTimeLimit
return solve_data.results
# Branch on the disjunct
child = incumbent_model.clone()
# TODO I am leaving the old branching system in place, but there should be
# something better, ideally that deals with nested disjunctions as well.
disjunction_to_branch = child.GDPbb_utils.unenforced_disjunctions.pop(0)
child_disjunct = disjunction_to_branch.disjuncts[i]
child_disjunct.indicator_var.fix(1)
# Deactivate (and fix to 0) other disjuncts on the disjunction
for disj in disjunction_to_branch.disjuncts:
if disj is not child_disjunct:
disj.deactivate()
# Activate nonlinear constraints on the newly fixed child disjunct
newly_activated = ComponentSet()
for constr in child_disjunct.component_data_objects(Constraint):
if constr in child.GDPbb_utils.deactivated_constraints:
newly_activated.add(constr)
constr.activate()
# Set the big M value for the constraint
child.BigM[constr] = 1
# Note: we use a default big M value of 1
# because all non-selected disjuncts should be deactivated.
# Therefore, none of the big M transformed nonlinear constraints will need to be relaxed.
# The default M value should therefore be irrelevant.
child.GDPbb_utils.deactivated_constraints -= newly_activated
child.GDPbb_utils.disjuncts_fixed_True.add(child_disjunct)
if disjunct in incumbent_model.GDPbb_utils.disjuncts_fixed_True:
# If the disjunct was already branched to True from a parent disjunct branching, just pass
# through the incumbent value without resolving. The solution should be the same as the parent.
total_nodes_counter += 1
ordering_tuple = (obj_sign * incumbent_obj_value, disjunctions_left - 1, -total_nodes_counter)
heapq.heappush(heap, (ordering_tuple, child, result, incumbent_var_values))
new_nodes_counter += 1
continue
if config.check_sat and satisfiable(child, config.logger) is False:
# Problem is not satisfiable. Skip this disjunct.
continue
obj_value, result, var_values = self.subproblem_solve(child, config)
total_nodes_counter += 1
ordering_tuple = (obj_sign * obj_value, disjunctions_left - 1, -total_nodes_counter)
heapq.heappush(heap, (ordering_tuple, child, result, var_values))
new_nodes_counter += 1
config.logger.info("Added %s new nodes with %s relaxed disjunctions to the heap. Size now %s." % (
new_nodes_counter, disjunctions_left - 1, len(heap)))
def test_handle_termination_condition(self):
"""Test the outer approximation decomposition algorithm."""
model = SimpleMINLP()
config = _get_MindtPy_config()
solve_data = set_up_solve_data(model, config)
with time_code(solve_data.timing, 'total', is_main_timer=True), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
MindtPy = solve_data.working_model.MindtPy_utils
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(
solve_data,
config,
move_linear_objective=(config.init_strategy == 'FP' or
config.add_regularization is not None),
use_mcpp=config.use_mcpp,
update_var_con_list=config.add_regularization is None)
feas = MindtPy.feas_opt = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
lin = MindtPy.cuts = Block()
lin.deactivate()
if config.feasibility_norm == 'L1' or config.feasibility_norm == 'L2':
feas.nl_constraint_set = RangeSet(
len(MindtPy.nonlinear_constraint_list),
doc='Integer index set over the nonlinear constraints.')
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.nl_constraint_set,
domain=NonNegativeReals,
initialize=1)
else:
feas.slack_var = Var(domain=NonNegativeReals, initialize=1)
# no-good cuts exclude particular discrete decisions
lin.no_good_cuts = ConstraintList(doc='no-good cuts')
fixed_nlp = solve_data.working_model.clone()
TransformationFactory('core.fix_integer_vars').apply_to(fixed_nlp)
MindtPy_initialize_main(solve_data, config)
# test handle_subproblem_other_termination
termination_condition = tc.maxIterations
config.add_no_good_cuts = True
handle_subproblem_other_termination(fixed_nlp,
termination_condition,
solve_data, config)
self.assertEqual(
len(solve_data.mip.MindtPy_utils.cuts.no_good_cuts), 1)
# test handle_main_other_conditions
main_mip, main_mip_results = solve_main(solve_data, config)
main_mip_results.solver.termination_condition = tc.infeasible
handle_main_other_conditions(solve_data.mip, main_mip_results,
solve_data, config)
self.assertIs(solve_data.results.solver.termination_condition,
tc.feasible)
main_mip_results.solver.termination_condition = tc.unbounded
handle_main_other_conditions(solve_data.mip, main_mip_results,
solve_data, config)
self.assertIn(main_mip.MindtPy_utils.objective_bound,
main_mip.component_data_objects(ctype=Constraint))
main_mip.MindtPy_utils.del_component('objective_bound')
main_mip_results.solver.termination_condition = tc.infeasibleOrUnbounded
handle_main_other_conditions(solve_data.mip, main_mip_results,
solve_data, config)
self.assertIn(main_mip.MindtPy_utils.objective_bound,
main_mip.component_data_objects(ctype=Constraint))
main_mip_results.solver.termination_condition = tc.maxTimeLimit
handle_main_other_conditions(solve_data.mip, main_mip_results,
solve_data, config)
self.assertIs(solve_data.results.solver.termination_condition,
tc.maxTimeLimit)
main_mip_results.solver.termination_condition = tc.other
main_mip_results.solution.status = SolutionStatus.feasible
handle_main_other_conditions(solve_data.mip, main_mip_results,
solve_data, config)
for v1, v2 in zip(
main_mip.MindtPy_utils.variable_list,
solve_data.working_model.MindtPy_utils.variable_list):
self.assertEqual(v1.value, v2.value)
# test handle_feasibility_subproblem_tc
feas_subproblem = solve_data.working_model.clone()
add_feas_slacks(feas_subproblem, config)
MindtPy = feas_subproblem.MindtPy_utils
MindtPy.feas_opt.activate()
if config.feasibility_norm == 'L1':
MindtPy.feas_obj = Objective(expr=sum(
s for s in MindtPy.feas_opt.slack_var[...]),
sense=minimize)
elif config.feasibility_norm == 'L2':
MindtPy.feas_obj = Objective(expr=sum(
s * s for s in MindtPy.feas_opt.slack_var[...]),
sense=minimize)
else:
MindtPy.feas_obj = Objective(expr=MindtPy.feas_opt.slack_var,
sense=minimize)
handle_feasibility_subproblem_tc(tc.optimal, MindtPy, solve_data,
config)
handle_feasibility_subproblem_tc(tc.infeasible, MindtPy,
solve_data, config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.status, SolverStatus.error)
solve_data.should_terminate = False
solve_data.results.solver.status = None
handle_feasibility_subproblem_tc(tc.maxIterations, MindtPy,
solve_data, config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.status, SolverStatus.error)
solve_data.should_terminate = False
solve_data.results.solver.status = None
handle_feasibility_subproblem_tc(tc.solverFailure, MindtPy,
solve_data, config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.status, SolverStatus.error)
# test NLP subproblem infeasible
solve_data.working_model.Y[1].value = 0
solve_data.working_model.Y[2].value = 0
solve_data.working_model.Y[3].value = 0
fixed_nlp, fixed_nlp_results = solve_subproblem(solve_data, config)
solve_data.working_model.Y[1].value = None
solve_data.working_model.Y[2].value = None
solve_data.working_model.Y[3].value = None
# test handle_nlp_subproblem_tc
fixed_nlp_results.solver.termination_condition = tc.maxTimeLimit
handle_nlp_subproblem_tc(fixed_nlp, fixed_nlp_results, solve_data,
config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.maxTimeLimit)
fixed_nlp_results.solver.termination_condition = tc.maxEvaluations
handle_nlp_subproblem_tc(fixed_nlp, fixed_nlp_results, solve_data,
config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.maxEvaluations)
fixed_nlp_results.solver.termination_condition = tc.maxIterations
handle_nlp_subproblem_tc(fixed_nlp, fixed_nlp_results, solve_data,
config)
self.assertIs(solve_data.should_terminate, True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.maxEvaluations)
# test handle_fp_main_tc
config.init_strategy = 'FP'
solve_data.fp_iter = 1
init_rNLP(solve_data, config)
feas_main, feas_main_results = solve_main(solve_data,
config,
fp=True)
feas_main_results.solver.termination_condition = tc.optimal
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, False)
feas_main_results.solver.termination_condition = tc.maxTimeLimit
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.maxTimeLimit)
feas_main_results.solver.termination_condition = tc.infeasible
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, True)
feas_main_results.solver.termination_condition = tc.unbounded
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, True)
feas_main_results.solver.termination_condition = tc.other
feas_main_results.solution.status = SolutionStatus.feasible
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, False)
feas_main_results.solver.termination_condition = tc.solverFailure
fp_should_terminate = handle_fp_main_tc(feas_main_results,
solve_data, config)
self.assertIs(fp_should_terminate, True)
# test generate_norm_constraint
fp_nlp = solve_data.working_model.clone()
config.fp_main_norm = 'L1'
generate_norm_constraint(fp_nlp, solve_data, config)
self.assertIsNotNone(
fp_nlp.MindtPy_utils.find_component('L1_norm_constraint'))
config.fp_main_norm = 'L2'
generate_norm_constraint(fp_nlp, solve_data, config)
self.assertIsNotNone(fp_nlp.find_component('norm_constraint'))
fp_nlp.del_component('norm_constraint')
config.fp_main_norm = 'L_infinity'
generate_norm_constraint(fp_nlp, solve_data, config)
self.assertIsNotNone(fp_nlp.find_component('norm_constraint'))
# test set_solver_options
config.mip_solver = 'gams'
config.threads = 1
opt = SolverFactory(config.mip_solver)
set_solver_options(opt,
solve_data,
config,
'mip',
regularization=False)
config.mip_solver = 'gurobi'
config.mip_regularization_solver = 'gurobi'
config.regularization_mip_threads = 1
opt = SolverFactory(config.mip_solver)
set_solver_options(opt,
solve_data,
config,
'mip',
regularization=True)
config.nlp_solver = 'gams'
config.nlp_solver_args['solver'] = 'ipopt'
set_solver_options(opt,
solve_data,
config,
'nlp',
regularization=False)
config.nlp_solver_args['solver'] = 'ipopth'
set_solver_options(opt,
solve_data,
config,
'nlp',
regularization=False)
config.nlp_solver_args['solver'] = 'conopt'
set_solver_options(opt,
solve_data,
config,
'nlp',
regularization=False)
config.nlp_solver_args['solver'] = 'msnlp'
set_solver_options(opt,
solve_data,
config,
'nlp',
regularization=False)
config.nlp_solver_args['solver'] = 'baron'
set_solver_options(opt,
solve_data,
config,
'nlp',
regularization=False)
# test algorithm_should_terminate
solve_data.should_terminate = True
solve_data.UB = float('inf')
self.assertIs(
algorithm_should_terminate(solve_data,
config,
check_cycling=False), True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.noSolution)
solve_data.UB = 100
self.assertIs(
algorithm_should_terminate(solve_data,
config,
check_cycling=False), True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.feasible)
solve_data.objective_sense = maximize
solve_data.LB = float('-inf')
self.assertIs(
algorithm_should_terminate(solve_data,
config,
check_cycling=False), True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.noSolution)
solve_data.LB = 100
self.assertIs(
algorithm_should_terminate(solve_data,
config,
check_cycling=False), True)
self.assertIs(solve_data.results.solver.termination_condition,
tc.feasible)
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
Warning: at this point in time, if you try to use PSC or GBD with
anything other than IPOPT as the NLP solver, bad things will happen.
This is because the suffixes are not in place to extract dual values
from the variable bounds for any other solver.
TODO: fix needed with the GBD implementation.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
# configuration confirmation
if config.single_tree:
config.iteration_limit = 1
config.add_slack = False
config.add_nogood_cuts = False
config.mip_solver = 'cplex_persistent'
config.logger.info(
"Single tree implementation is activated. The defalt MIP solver is 'cplex_persistent'"
)
# if the slacks fix to zero, just don't add them
if config.max_slack == 0.0:
config.add_slack = False
if config.strategy == "GOA":
config.add_nogood_cuts = True
config.add_slack = True
config.use_mcpp = True
config.integer_to_binary = True
config.use_dual = False
config.use_fbbt = True
if config.nlp_solver == "baron":
config.use_dual = False
# if ecp tolerance is not provided use bound tolerance
if config.ecp_tolerance is None:
config.ecp_tolerance = config.bound_tolerance
# if the objective function is a constant, dual bound constraint is not added.
obj = next(model.component_data_objects(ctype=Objective, active=True))
if obj.expr.polynomial_degree() == 0:
config.use_dual_bound = False
solve_data = MindtPySolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
solve_data.curr_int_sol = []
solve_data.prev_int_sol = []
if config.use_fbbt:
fbbt(model)
config.logger.info(
"Use the fbbt to tighten the bounds of variables")
solve_data.original_model = model
solve_data.working_model = model.clone()
if config.integer_to_binary:
TransformationFactory('contrib.integer_to_binary'). \
apply_to(solve_data.working_model)
new_logging_level = logging.INFO if config.tee else None
with time_code(solve_data.timing, 'total', is_main_timer=True), \
lower_logger_level_to(config.logger, new_logging_level), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
config.logger.info("---Starting MindtPy---")
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(solve_data, config, use_mcpp=config.use_mcpp)
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
solve_data.best_solution_found_time = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.MindtPy_feas = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.MindtPy_linear_cuts = Block()
lin.deactivate()
# Integer cuts exclude particular discrete decisions
lin.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary integer_cuts ConstraintList.
lin.feasible_integer_cuts = ConstraintList(
doc='explored integer cuts')
lin.feasible_integer_cuts.deactivate()
# Set up iteration counters
solve_data.nlp_iter = 0
solve_data.mip_iter = 0
solve_data.mip_subiter = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.LB_progress = [solve_data.LB]
solve_data.UB_progress = [solve_data.UB]
if config.single_tree and config.add_nogood_cuts:
solve_data.stored_bound = {}
if config.strategy == 'GOA' and config.add_nogood_cuts:
solve_data.num_no_good_cuts_added = {}
# Set of NLP iterations for which cuts were generated
lin.nlp_iters = Set(dimen=1)
# Set of MIP iterations for which cuts were generated in ECP
lin.mip_iters = Set(dimen=1)
if config.feasibility_norm == 'L1' or config.feasibility_norm == 'L2':
feas.nl_constraint_set = Set(
initialize=[
i
for i, constr in enumerate(MindtPy.constraint_list, 1)
if constr.body.polynomial_degree() not in (1, 0)
],
doc="Integer index set over the nonlinear constraints."
"The set corresponds to the index of nonlinear constraint in constraint_set"
)
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.nl_constraint_set,
domain=NonNegativeReals,
initialize=1)
else:
feas.slack_var = Var(domain=NonNegativeReals, initialize=1)
# Create slack variables for OA cuts
if config.add_slack:
lin.slack_vars = VarList(bounds=(0, config.max_slack),
initialize=0,
domain=NonNegativeReals)
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.solution_improved = False
if config.nlp_solver == 'ipopt':
if not hasattr(solve_data.working_model, 'ipopt_zL_out'):
solve_data.working_model.ipopt_zL_out = Suffix(
direction=Suffix.IMPORT)
if not hasattr(solve_data.working_model, 'ipopt_zU_out'):
solve_data.working_model.ipopt_zU_out = Suffix(
direction=Suffix.IMPORT)
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(from_list=solve_data.best_solution_found.
MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
# MindtPy.objective_value.set_value(
# value(solve_data.working_objective_expr, exception=False))
copy_var_list_values(
MindtPy.variable_list,
solve_data.original_model.component_data_objects(Var),
config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.mip_iter
solve_data.results.solver.best_solution_found_time = solve_data.best_solution_found_time
if config.single_tree:
solve_data.results.solver.num_nodes = solve_data.nlp_iter - \
(1 if config.init_strategy == 'rNLP' else 0)
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
Warning: at this point in time, if you try to use PSC or GBD with
anything other than IPOPT as the NLP solver, bad things will happen.
This is because the suffixes are not in place to extract dual values
from the variable bounds for any other solver.
TODO: fix needed with the GBD implementation.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = MindtPySolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total'), \
restore_logger_level(config.logger), \
create_utility_block(model, 'MindtPy_utils', solve_data):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info("---Starting MindtPy---")
solve_data.original_model = model
solve_data.working_model = model.clone()
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(solve_data, config)
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.MindtPy_feas = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.MindtPy_linear_cuts = Block()
lin.deactivate()
# Integer cuts exclude particular discrete decisions
lin.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary integer_cuts ConstraintList.
lin.feasible_integer_cuts = ConstraintList(
doc='explored integer cuts')
lin.feasible_integer_cuts.deactivate()
# Set up iteration counters
solve_data.nlp_iter = 0
solve_data.mip_iter = 0
solve_data.mip_subiter = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.LB_progress = [solve_data.LB]
solve_data.UB_progress = [solve_data.UB]
# Set of NLP iterations for which cuts were generated
lin.nlp_iters = Set(dimen=1)
# Set of MIP iterations for which cuts were generated in ECP
lin.mip_iters = Set(dimen=1)
nonlinear_constraints = [c for c in MindtPy.constraint_list if
c.body.polynomial_degree() not in (1, 0)]
lin.nl_constraint_set = RangeSet(
len(nonlinear_constraints),
doc="Integer index set over the nonlinear constraints")
feas.constraint_set = RangeSet(
len(MindtPy.constraint_list),
doc="integer index set over the constraints")
# # Mapping Constraint -> integer index
# MindtPy.feas_map = {}
# # Mapping integer index -> Constraint
# MindtPy.feas_inverse_map = {}
# # Generate the two maps. These maps may be helpful for later
# # interpreting indices on the slack variables or generated cuts.
# for c, n in zip(MindtPy.constraint_list, feas.constraint_set):
# MindtPy.feas_map[c] = n
# MindtPy.feas_inverse_map[n] = c
# Create slack variables for OA cuts
lin.slack_vars = VarList(bounds=(0, config.max_slack), initialize=0, domain=NonNegativeReals)
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.constraint_set,
domain=NonNegativeReals, initialize=1)
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.solution_improved = False
if not hasattr(solve_data.working_model, 'ipopt_zL_out'):
solve_data.working_model.ipopt_zL_out = Suffix(
direction=Suffix.IMPORT)
if not hasattr(solve_data.working_model, 'ipopt_zU_out'):
solve_data.working_model.ipopt_zU_out = Suffix(
direction=Suffix.IMPORT)
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(
from_list=solve_data.best_solution_found.MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
# MindtPy.objective_value.set_value(
# value(solve_data.working_objective_expr, exception=False))
copy_var_list_values(
MindtPy.variable_list,
solve_data.original_model.MindtPy_utils.variable_list,
config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
This function performs all of the GDPopt solver setup and problem
validation. It then calls upon helper functions to construct the
initial master approximation and iteration loop.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = GDPoptSolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total'), \
restore_logger_level(config.logger), \
create_utility_block(model, 'GDPopt_utils', solve_data):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info(
"Starting GDPopt version %s using %s algorithm"
% (".".join(map(str, self.version())), config.strategy)
)
config.logger.info(
"""
If you use this software, you may cite the following:
- Implementation:
Chen, Q; Johnson, ES; Siirola, JD; Grossmann, IE.
Pyomo.GDP: Disjunctive Models in Python.
Proc. of the 13th Intl. Symposium on Process Systems Eng.
San Diego, 2018.
- LOA algorithm:
Türkay, M; Grossmann, IE.
Logic-based MINLP algorithms for the optimal synthesis of process networks.
Comp. and Chem. Eng. 1996, 20(8), 959–978.
DOI: 10.1016/0098-1354(95)00219-7.
- GLOA algorithm:
Lee, S; Grossmann, IE.
A Global Optimization Algorithm for Nonconvex Generalized Disjunctive Programming and Applications to Process Systems
Comp. and Chem. Eng. 2001, 25, 1675-1697.
DOI: 10.1016/S0098-1354(01)00732-3
""".strip()
)
solve_data.results.solver.name = 'GDPopt %s - %s' % (
str(self.version()), config.strategy)
solve_data.original_model = model
solve_data.working_model = model.clone()
GDPopt = solve_data.working_model.GDPopt_utils
setup_results_object(solve_data, config)
solve_data.current_strategy = config.strategy
# Verify that objective has correct form
process_objective(solve_data, config)
# Save model initial values. These are used later to initialize NLP
# subproblems.
solve_data.initial_var_values = list(
v.value for v in GDPopt.variable_list)
solve_data.best_solution_found = None
# Validate the model to ensure that GDPopt is able to solve it.
if not model_is_valid(solve_data, config):
return
# Integer cuts exclude particular discrete decisions
GDPopt.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default, unless the initial model has no
# discrete decisions.
# Note: these cuts will only exclude integer realizations that are
# not already in the primary GDPopt_integer_cuts ConstraintList.
GDPopt.no_backtracking = ConstraintList(
doc='explored integer cuts')
# Set up iteration counters
solve_data.master_iteration = 0
solve_data.mip_iteration = 0
solve_data.nlp_iteration = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.iteration_log = {}
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.feasible_solution_improved = False
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
GDPopt_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
GDPopt_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in working model
copy_var_list_values(
from_list=solve_data.best_solution_found.GDPopt_utils.variable_list,
to_list=GDPopt.variable_list,
config=config)
# Update values in original model
copy_var_list_values(
GDPopt.variable_list,
solve_data.original_model.GDPopt_utils.variable_list,
config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.master_iteration
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
Warning: at this point in time, if you try to use PSC or GBD with
anything other than IPOPT as the NLP solver, bad things will happen.
This is because the suffixes are not in place to extract dual values
from the variable bounds for any other solver.
TODO: fix needed with the GBD implementation.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = MindtPySolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
solve_data.original_model = model
solve_data.working_model = model.clone()
if config.integer_to_binary:
TransformationFactory('contrib.integer_to_binary'). \
apply_to(solve_data.working_model)
new_logging_level = logging.INFO if config.tee else None
with time_code(solve_data.timing, 'total', is_main_timer=True), \
lower_logger_level_to(config.logger, new_logging_level), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
config.logger.info("---Starting MindtPy---")
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(solve_data, config)
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.MindtPy_feas = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.MindtPy_linear_cuts = Block()
lin.deactivate()
# Integer cuts exclude particular discrete decisions
lin.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary integer_cuts ConstraintList.
lin.feasible_integer_cuts = ConstraintList(
doc='explored integer cuts')
lin.feasible_integer_cuts.deactivate()
# Set up iteration counters
solve_data.nlp_iter = 0
solve_data.mip_iter = 0
solve_data.mip_subiter = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.LB_progress = [solve_data.LB]
solve_data.UB_progress = [solve_data.UB]
# Set of NLP iterations for which cuts were generated
lin.nlp_iters = Set(dimen=1)
# Set of MIP iterations for which cuts were generated in ECP
lin.mip_iters = Set(dimen=1)
nonlinear_constraints = [
c for c in MindtPy.constraint_list
if c.body.polynomial_degree() not in (1, 0)
]
lin.nl_constraint_set = RangeSet(
len(nonlinear_constraints),
doc="Integer index set over the nonlinear constraints")
feas.constraint_set = RangeSet(
len(MindtPy.constraint_list),
doc="integer index set over the constraints")
# # Mapping Constraint -> integer index
# MindtPy.feas_map = {}
# # Mapping integer index -> Constraint
# MindtPy.feas_inverse_map = {}
# # Generate the two maps. These maps may be helpful for later
# # interpreting indices on the slack variables or generated cuts.
# for c, n in zip(MindtPy.constraint_list, feas.constraint_set):
# MindtPy.feas_map[c] = n
# MindtPy.feas_inverse_map[n] = c
# Create slack variables for OA cuts
lin.slack_vars = VarList(bounds=(0, config.max_slack),
initialize=0,
domain=NonNegativeReals)
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.constraint_set,
domain=NonNegativeReals,
initialize=1)
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.solution_improved = False
if not hasattr(solve_data.working_model, 'ipopt_zL_out'):
solve_data.working_model.ipopt_zL_out = Suffix(
direction=Suffix.IMPORT)
if not hasattr(solve_data.working_model, 'ipopt_zU_out'):
solve_data.working_model.ipopt_zU_out = Suffix(
direction=Suffix.IMPORT)
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(from_list=solve_data.best_solution_found.
MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
# MindtPy.objective_value.set_value(
# value(solve_data.working_objective_expr, exception=False))
copy_var_list_values(
MindtPy.variable_list,
solve_data.original_model.component_data_objects(Var),
config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.mip_iter
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Parameters
----------
model : Pyomo model
The MINLP model to be solved.
Returns
-------
results : SolverResults
Results from solving the MINLP problem by MindtPy.
"""
config = self.CONFIG(kwds.pop('options', {
}), preserve_implicit=True) # TODO: do we need to set preserve_implicit=True?
config.set_value(kwds)
set_up_logger(config)
check_config(config)
solve_data = set_up_solve_data(model, config)
if config.integer_to_binary:
TransformationFactory('contrib.integer_to_binary'). \
apply_to(solve_data.working_model)
new_logging_level = logging.INFO if config.tee else None
with time_code(solve_data.timing, 'total', is_main_timer=True), \
lower_logger_level_to(config.logger, new_logging_level), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
config.logger.info(
'---------------------------------------------------------------------------------------------\n'
' Mixed-Integer Nonlinear Decomposition Toolbox in Pyomo (MindtPy) \n'
'---------------------------------------------------------------------------------------------\n'
'For more information, please visit https://pyomo.readthedocs.io/en/stable/contributed_packages/mindtpy.html')
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
# In the process_objective function, as long as the objective function is nonlinear, it will be reformulated and the variable/constraint/objective lists will be updated.
# For OA/GOA/LP-NLP algorithm, if the objective funtion is linear, it will not be reformulated as epigraph constraint.
# If the objective function is linear, it will be reformulated as epigraph constraint only if the Feasibility Pump or ROA/RLP-NLP algorithm is activated. (move_objective = True)
# In some cases, the variable/constraint/objective lists will not be updated even if the objective is epigraph-reformulated.
# In Feasibility Pump, since the distance calculation only includes discrete variables and the epigraph slack variables are continuous variables, the Feasibility Pump algorithm will not affected even if the variable list are updated.
# In ROA and RLP/NLP, since the distance calculation does not include these epigraph slack variables, they should not be added to the variable list. (update_var_con_list = False)
# In the process_objective function, once the objective function has been reformulated as epigraph constraint, the variable/constraint/objective lists will not be updated only if the MINLP has a linear objective function and regularization is activated at the same time.
# This is because the epigraph constraint is very "flat" for branching rules. The original objective function will be used for the main problem and epigraph reformulation will be used for the projection problem.
# TODO: The logic here is too complicated, can we simplify it?
process_objective(solve_data, config,
move_objective=(config.init_strategy == 'FP'
or config.add_regularization is not None
or config.move_objective),
use_mcpp=config.use_mcpp,
update_var_con_list=config.add_regularization is None,
partition_nonlinear_terms=config.partition_obj_nonlinear_terms,
obj_handleable_polynomial_degree=solve_data.mip_objective_polynomial_degree,
constr_handleable_polynomial_degree=solve_data.mip_constraint_polynomial_degree
)
# The epigraph constraint is very "flat" for branching rules.
# If ROA/RLP-NLP is activated and the original objective function is linear, we will use the original objective for the main mip.
if MindtPy.objective_list[0].expr.polynomial_degree() in solve_data.mip_objective_polynomial_degree and config.add_regularization is not None:
MindtPy.objective_list[0].activate()
MindtPy.objective_constr.deactivate()
MindtPy.objective.deactivate()
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
solve_data.best_solution_found_time = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.feas_opt = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.cuts = Block()
lin.deactivate()
# no-good cuts exclude particular discrete decisions
lin.no_good_cuts = ConstraintList(doc='no-good cuts')
# Feasible no-good cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary no_good_cuts ConstraintList.
lin.feasible_no_good_cuts = ConstraintList(
doc='explored no-good cuts')
lin.feasible_no_good_cuts.deactivate()
if config.feasibility_norm == 'L1' or config.feasibility_norm == 'L2':
feas.nl_constraint_set = RangeSet(len(MindtPy.nonlinear_constraint_list),
doc='Integer index set over the nonlinear constraints.')
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.nl_constraint_set,
domain=NonNegativeReals, initialize=1)
else:
feas.slack_var = Var(domain=NonNegativeReals, initialize=1)
# Create slack variables for OA cuts
if config.add_slack:
lin.slack_vars = VarList(
bounds=(0, config.max_slack), initialize=0, domain=NonNegativeReals)
# Initialize the main problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_main(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(
from_list=solve_data.best_solution_found.MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
copy_var_list_values(
MindtPy.variable_list,
[i for i in solve_data.original_model.component_data_objects(
Var) if not i.fixed],
config)
# exclude fixed variables here. This is consistent with the definition of variable_list in GDPopt.util
if solve_data.objective_sense == minimize:
solve_data.results.problem.lower_bound = solve_data.dual_bound
solve_data.results.problem.upper_bound = solve_data.primal_bound
else:
solve_data.results.problem.lower_bound = solve_data.primal_bound
solve_data.results.problem.upper_bound = solve_data.dual_bound
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.mip_iter
solve_data.results.solver.num_infeasible_nlp_subproblem = solve_data.nlp_infeasible_counter
solve_data.results.solver.best_solution_found_time = solve_data.best_solution_found_time
solve_data.results.solver.primal_integral = get_primal_integral(solve_data, config)
solve_data.results.solver.dual_integral = get_dual_integral(solve_data, config)
solve_data.results.solver.primal_dual_gap_integral = solve_data.results.solver.primal_integral + \
solve_data.results.solver.dual_integral
config.logger.info(' {:<25}: {:>7.4f} '.format(
'Primal-dual gap integral', solve_data.results.solver.primal_dual_gap_integral))
if config.single_tree:
solve_data.results.solver.num_nodes = solve_data.nlp_iter - \
(1 if config.init_strategy == 'rNLP' else 0)
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
This function performs all of the GDPopt solver setup and problem
validation. It then calls upon helper functions to construct the
initial master approximation and iteration loop.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = GDPoptSolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total'), \
restore_logger_level(config.logger), \
create_utility_block(model, 'GDPopt_utils'):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info("---Starting GDPopt---")
solve_data.original_model = model
solve_data.working_model = clone_orig_model_with_lists(model)
GDPopt = solve_data.working_model.GDPopt_utils
record_original_model_statistics(solve_data, config)
solve_data.current_strategy = config.strategy
# Reformulate integer variables to binary
reformulate_integer_variables(solve_data.working_model, config)
process_objective(solve_data, config)
# Save ordered lists of main modeling components, so that data can
# be easily transferred between future model clones.
build_ordered_component_lists(solve_data.working_model)
record_working_model_statistics(solve_data, config)
solve_data.results.solver.name = 'GDPopt ' + str(self.version())
# Save model initial values. These are used later to initialize NLP
# subproblems.
solve_data.initial_var_values = list(
v.value for v in GDPopt.working_var_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = solve_data.initial_var_values
# Validate the model to ensure that GDPopt is able to solve it.
if not model_is_valid(solve_data, config):
return
# Maps in order to keep track of certain generated constraints
GDPopt.oa_cut_map = ComponentMap()
# Integer cuts exclude particular discrete decisions
GDPopt.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default, unless the initial model has no
# discrete decisions.
# Note: these cuts will only exclude integer realizations that are
# not already in the primary GDPopt_integer_cuts ConstraintList.
GDPopt.no_backtracking = ConstraintList(
doc='explored integer cuts')
# Set up iteration counters
solve_data.master_iteration = 0
solve_data.mip_iteration = 0
solve_data.nlp_iteration = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.iteration_log = {}
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.feasible_solution_improved = False
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
GDPopt_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
GDPopt_iteration_loop(solve_data, config)
# Update values in working model
copy_var_list_values(from_list=solve_data.best_solution_found,
to_list=GDPopt.working_var_list,
config=config)
GDPopt.objective_value.set_value(
value(solve_data.working_objective_expr, exception=False))
# Update values in original model
copy_var_list_values(
GDPopt.orig_var_list,
solve_data.original_model.GDPopt_utils.orig_var_list, config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
Args:
model (Block): a Pyomo model or block to be solved.
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
set_up_logger(config)
check_config(config)
solve_data = set_up_solve_data(model, config)
if config.integer_to_binary:
TransformationFactory('contrib.integer_to_binary'). \
apply_to(solve_data.working_model)
new_logging_level = logging.INFO if config.tee else None
with time_code(solve_data.timing, 'total', is_main_timer=True), \
lower_logger_level_to(config.logger, new_logging_level), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
config.logger.info(
'---------------------------------------------------------------------------------------------\n'
' Mixed-Integer Nonlinear Decomposition Toolbox in Pyomo (MindtPy) \n'
'---------------------------------------------------------------------------------------------\n'
'For more information, please visit https://pyomo.readthedocs.io/en/stable/contributed_packages/mindtpy.html')
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(solve_data, config,
move_linear_objective=(config.init_strategy == 'FP'
or config.add_regularization is not None),
use_mcpp=config.use_mcpp,
updata_var_con_list=config.add_regularization is None
)
# The epigraph constraint is very "flat" for branching rules,
# we want to use to original model for the main mip.
if MindtPy.objective_list[0].expr.polynomial_degree() in {1, 0} and config.add_regularization is not None:
MindtPy.objective_list[0].activate()
MindtPy.objective_constr.deactivate()
MindtPy.objective.deactivate()
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
solve_data.best_solution_found_time = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.feas_opt = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.cuts = Block()
lin.deactivate()
# no-good cuts exclude particular discrete decisions
lin.no_good_cuts = ConstraintList(doc='no-good cuts')
# Feasible no-good cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary no_good_cuts ConstraintList.
lin.feasible_no_good_cuts = ConstraintList(
doc='explored no-good cuts')
lin.feasible_no_good_cuts.deactivate()
if config.feasibility_norm == 'L1' or config.feasibility_norm == 'L2':
feas.nl_constraint_set = RangeSet(len(MindtPy.nonlinear_constraint_list),
doc='Integer index set over the nonlinear constraints.')
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.nl_constraint_set,
domain=NonNegativeReals, initialize=1)
else:
feas.slack_var = Var(domain=NonNegativeReals, initialize=1)
# Create slack variables for OA cuts
if config.add_slack:
lin.slack_vars = VarList(
bounds=(0, config.max_slack), initialize=0, domain=NonNegativeReals)
# Initialize the main problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_main(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(
from_list=solve_data.best_solution_found.MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
copy_var_list_values(
MindtPy.variable_list,
[i for i in solve_data.original_model.component_data_objects(
Var) if not i.fixed],
config)
# exclude fixed variables here. This is consistent with the definition of variable_list in GDPopt.util
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.mip_iter
solve_data.results.solver.num_infeasible_nlp_subproblem = solve_data.nlp_infeasible_counter
solve_data.results.solver.best_solution_found_time = solve_data.best_solution_found_time
if config.single_tree:
solve_data.results.solver.num_nodes = solve_data.nlp_iter - \
(1 if config.init_strategy == 'rNLP' else 0)
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
This function performs all of the GDPopt solver setup and problem
validation. It then calls upon helper functions to construct the
initial master approximation and iteration loop.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = GDPoptSolveData()
solve_data.results = SolverResults()
solve_data.timing = Container()
old_logger_level = config.logger.getEffectiveLevel()
with time_code(solve_data.timing, 'total', is_main_timer=True), \
restore_logger_level(config.logger), \
create_utility_block(model, 'GDPopt_utils', solve_data):
if config.tee and old_logger_level > logging.INFO:
# If the logger does not already include INFO, include it.
config.logger.setLevel(logging.INFO)
config.logger.info(
"Starting GDPopt version %s using %s algorithm"
% (".".join(map(str, self.version())), config.strategy)
)
config.logger.info(
"""
If you use this software, you may cite the following:
- Implementation:
Chen, Q; Johnson, ES; Siirola, JD; Grossmann, IE.
Pyomo.GDP: Disjunctive Models in Python.
Proc. of the 13th Intl. Symposium on Process Systems Eng.
San Diego, 2018.
- LOA algorithm:
Türkay, M; Grossmann, IE.
Logic-based MINLP algorithms for the optimal synthesis of process networks.
Comp. and Chem. Eng. 1996, 20(8), 959–978.
DOI: 10.1016/0098-1354(95)00219-7.
- GLOA algorithm:
Lee, S; Grossmann, IE.
A Global Optimization Algorithm for Nonconvex Generalized Disjunctive Programming and Applications to Process Systems
Comp. and Chem. Eng. 2001, 25, 1675-1697.
DOI: 10.1016/S0098-1354(01)00732-3
""".strip()
)
solve_data.results.solver.name = 'GDPopt %s - %s' % (
str(self.version()), config.strategy)
solve_data.original_model = model
solve_data.working_model = model.clone()
GDPopt = solve_data.working_model.GDPopt_utils
setup_results_object(solve_data, config)
solve_data.current_strategy = config.strategy
# Verify that objective has correct form
process_objective(solve_data, config)
# Save model initial values. These are used later to initialize NLP
# subproblems.
solve_data.initial_var_values = list(
v.value for v in GDPopt.variable_list)
solve_data.best_solution_found = None
# Validate the model to ensure that GDPopt is able to solve it.
if not model_is_valid(solve_data, config):
return
# Integer cuts exclude particular discrete decisions
GDPopt.integer_cuts = ConstraintList(doc='integer cuts')
# Feasible integer cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default, unless the initial model has no
# discrete decisions.
# Note: these cuts will only exclude integer realizations that are
# not already in the primary GDPopt_integer_cuts ConstraintList.
GDPopt.no_backtracking = ConstraintList(
doc='explored integer cuts')
# Set up iteration counters
solve_data.master_iteration = 0
solve_data.mip_iteration = 0
solve_data.nlp_iteration = 0
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.iteration_log = {}
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.feasible_solution_improved = False
# Initialize the master problem
with time_code(solve_data.timing, 'initialization'):
GDPopt_initialize_master(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
GDPopt_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in working model
copy_var_list_values(
from_list=solve_data.best_solution_found.GDPopt_utils.variable_list,
to_list=GDPopt.variable_list,
config=config)
# Update values in original model
copy_var_list_values(
GDPopt.variable_list,
solve_data.original_model.GDPopt_utils.variable_list,
config)
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.master_iteration
return solve_data.results
def solve(self, model, **kwds):
"""Solve the model.
Warning: this solver is still in beta. Keyword arguments subject to
change. Undocumented keyword arguments definitely subject to change.
Args:
model (Block): a Pyomo model or block to be solved
"""
config = self.CONFIG(kwds.pop('options', {}))
config.set_value(kwds)
solve_data = MindtPySolveData()
solve_data.results = SolverResults()
solve_data.timing = Bunch()
solve_data.curr_int_sol = []
solve_data.should_terminate = False
solve_data.integer_list = []
check_config(config)
# if the objective function is a constant, dual bound constraint is not added.
obj = next(model.component_data_objects(ctype=Objective, active=True))
if obj.expr.polynomial_degree() == 0:
config.use_dual_bound = False
if config.use_fbbt:
fbbt(model)
# TODO: logging_level is not logging.INFO here
config.logger.info(
'Use the fbbt to tighten the bounds of variables')
solve_data.original_model = model
solve_data.working_model = model.clone()
if config.integer_to_binary:
TransformationFactory('contrib.integer_to_binary'). \
apply_to(solve_data.working_model)
new_logging_level = logging.INFO if config.tee else None
with time_code(solve_data.timing, 'total', is_main_timer=True), \
lower_logger_level_to(config.logger, new_logging_level), \
create_utility_block(solve_data.working_model, 'MindtPy_utils', solve_data):
config.logger.info('---Starting MindtPy---')
MindtPy = solve_data.working_model.MindtPy_utils
setup_results_object(solve_data, config)
process_objective(
solve_data,
config,
move_linear_objective=(config.init_strategy == 'FP' or
config.add_regularization is not None),
use_mcpp=config.use_mcpp,
updata_var_con_list=config.add_regularization is None)
# The epigraph constraint is very "flat" for branching rules,
# we want to use to original model for the main mip.
if MindtPy.objective_list[0].expr.polynomial_degree() in {
1, 0
} and config.add_regularization is not None:
MindtPy.objective_list[0].activate()
MindtPy.objective_constr.deactivate()
MindtPy.objective.deactivate()
# Save model initial values.
solve_data.initial_var_values = list(
v.value for v in MindtPy.variable_list)
# Store the initial model state as the best solution found. If we
# find no better solution, then we will restore from this copy.
solve_data.best_solution_found = None
solve_data.best_solution_found_time = None
# Record solver name
solve_data.results.solver.name = 'MindtPy' + str(config.strategy)
# Validate the model to ensure that MindtPy is able to solve it.
if not model_is_valid(solve_data, config):
return
# Create a model block in which to store the generated feasibility
# slack constraints. Do not leave the constraints on by default.
feas = MindtPy.feas_opt = Block()
feas.deactivate()
feas.feas_constraints = ConstraintList(
doc='Feasibility Problem Constraints')
# Create a model block in which to store the generated linear
# constraints. Do not leave the constraints on by default.
lin = MindtPy.cuts = Block()
lin.deactivate()
# no-good cuts exclude particular discrete decisions
lin.no_good_cuts = ConstraintList(doc='no-good cuts')
# Feasible no-good cuts exclude discrete realizations that have
# been explored via an NLP subproblem. Depending on model
# characteristics, the user may wish to revisit NLP subproblems
# (with a different initialization, for example). Therefore, these
# cuts are not enabled by default.
#
# Note: these cuts will only exclude integer realizations that are
# not already in the primary no_good_cuts ConstraintList.
lin.feasible_no_good_cuts = ConstraintList(
doc='explored no-good cuts')
lin.feasible_no_good_cuts.deactivate()
# Set up iteration counters
solve_data.nlp_iter = 0
solve_data.mip_iter = 0
solve_data.mip_subiter = 0
solve_data.nlp_infeasible_counter = 0
if config.init_strategy == 'FP':
solve_data.fp_iter = 1
# set up bounds
solve_data.LB = float('-inf')
solve_data.UB = float('inf')
solve_data.LB_progress = [solve_data.LB]
solve_data.UB_progress = [solve_data.UB]
if config.single_tree and (config.add_no_good_cuts
or config.use_tabu_list):
solve_data.stored_bound = {}
if config.strategy == 'GOA' and (config.add_no_good_cuts
or config.use_tabu_list):
solve_data.num_no_good_cuts_added = {}
# Set of NLP iterations for which cuts were generated
lin.nlp_iters = Set(dimen=1)
# Set of MIP iterations for which cuts were generated in ECP
lin.mip_iters = Set(dimen=1)
if config.feasibility_norm == 'L1' or config.feasibility_norm == 'L2':
feas.nl_constraint_set = RangeSet(
len(MindtPy.nonlinear_constraint_list),
doc='Integer index set over the nonlinear constraints.')
# Create slack variables for feasibility problem
feas.slack_var = Var(feas.nl_constraint_set,
domain=NonNegativeReals,
initialize=1)
else:
feas.slack_var = Var(domain=NonNegativeReals, initialize=1)
# Create slack variables for OA cuts
if config.add_slack:
lin.slack_vars = VarList(bounds=(0, config.max_slack),
initialize=0,
domain=NonNegativeReals)
# Flag indicating whether the solution improved in the past
# iteration or not
solve_data.solution_improved = False
solve_data.bound_improved = False
if config.nlp_solver == 'ipopt':
if not hasattr(solve_data.working_model, 'ipopt_zL_out'):
solve_data.working_model.ipopt_zL_out = Suffix(
direction=Suffix.IMPORT)
if not hasattr(solve_data.working_model, 'ipopt_zU_out'):
solve_data.working_model.ipopt_zU_out = Suffix(
direction=Suffix.IMPORT)
# Initialize the main problem
with time_code(solve_data.timing, 'initialization'):
MindtPy_initialize_main(solve_data, config)
# Algorithm main loop
with time_code(solve_data.timing, 'main loop'):
MindtPy_iteration_loop(solve_data, config)
if solve_data.best_solution_found is not None:
# Update values in original model
copy_var_list_values(from_list=solve_data.best_solution_found.
MindtPy_utils.variable_list,
to_list=MindtPy.variable_list,
config=config)
copy_var_list_values(MindtPy.variable_list, [
i
for i in solve_data.original_model.component_data_objects(
Var) if not i.fixed
], config)
# exclude fixed variables here. This is consistent with the definition of variable_list in GDPopt.util
solve_data.results.problem.lower_bound = solve_data.LB
solve_data.results.problem.upper_bound = solve_data.UB
solve_data.results.solver.timing = solve_data.timing
solve_data.results.solver.user_time = solve_data.timing.total
solve_data.results.solver.wallclock_time = solve_data.timing.total
solve_data.results.solver.iterations = solve_data.mip_iter
solve_data.results.solver.num_infeasible_nlp_subproblem = solve_data.nlp_infeasible_counter
solve_data.results.solver.best_solution_found_time = solve_data.best_solution_found_time
if config.single_tree:
solve_data.results.solver.num_nodes = solve_data.nlp_iter - \
(1 if config.init_strategy == 'rNLP' else 0)
return solve_data.results
