def rank_origins(origins, destinations):
p('debug', 'Ranking origins: %s' % origins)
midpoint_origins = midpoint(origins)
midpoint_destinations = midpoint(destinations)
hub_route = Segment(midpoint_origins, midpoint_destinations)
for origin in origins:
AC = Segment(midpoint_origins, origin)
orthogonal_heading = hub_route.get_initial_bearing() + 90
(a, b) = project_segment(
abs(orthogonal_heading - AC.get_initial_bearing()),
AC.get_length())
projection = midpoint_origins.get_position(orthogonal_heading, a)
midpoint_to_projection = Segment(midpoint_origins, projection)
angle = abs(hub_route.get_initial_bearing() -
midpoint_to_projection.get_initial_bearing())
if abs(angle - 90) < 0.1:
distance = -1 * midpoint_to_projection.get_length()
else:
distance = midpoint_to_projection.get_length()
origin.distance_to_midpoint = distance
return sorted(origins, key=lambda point: point.distance_to_midpoint)
def get_exit(hub, trunk_route, flight):
dest = flight['route'].waypoints[-1]
hub_to_dest = Segment(hub, dest)
theta = abs(hub_to_dest.get_initial_bearing() -
trunk_route.get_initial_bearing())
(a, b) = project_segment(theta, hub_to_dest.get_length())
Q = get_hookoff_quotient(a, b, config.alpha)
d_hub_to_exit = a * Q
# Exit to destination must be long enough to allow for safe descent
# TOD is at 150NM out of dest, so exit->dest must be longer than 150NM
d_exit_to_dest = 0
while d_exit_to_dest < 150:
exit_point = hub.get_position(
trunk_route.get_initial_bearing(),
d_hub_to_exit
)
d_hub_to_exit -= 1
exit_dest = Segment(exit_point, dest)
d_exit_to_dest = exit_dest.get_length()
assert exit_dest.get_length() > 150
print 'For flight %s, the exit point is %dNM away from dest' % (
flight['route'], d_exit_to_dest
)
return exit_point
def rank_origins(origins, destinations):
p('debug', 'Ranking origins: %s' % origins)
midpoint_origins = midpoint(origins)
midpoint_destinations = midpoint(destinations)
hub_route = Segment(midpoint_origins, midpoint_destinations)
for origin in origins:
AC = Segment(midpoint_origins, origin)
orthogonal_heading = hub_route.get_initial_bearing() + 90
(a, b) = project_segment(
abs(orthogonal_heading - AC.get_initial_bearing()),
AC.get_length()
)
projection = midpoint_origins.get_position(
orthogonal_heading, a
)
midpoint_to_projection = Segment(
midpoint_origins,
projection
)
angle = abs(
hub_route.get_initial_bearing() -
midpoint_to_projection.get_initial_bearing()
)
if abs(angle - 90) < 0.1:
distance = -1 * midpoint_to_projection.get_length()
else:
distance = midpoint_to_projection.get_length()
origin.distance_to_midpoint = distance
return sorted(origins, key = lambda point: point.distance_to_midpoint)
def is_valid_formation(aircraft_list):
# Get the segments
segments = map(lambda aircraft: aircraft.route.segments[0], aircraft_list)
# Find the reference point collection of segments
midpoints = map(lambda x: x.midpoint, segments)
reference = util.midpoint (midpoints)
deviation_sum = 0
for segment in segments:
crosstrack = Segment(segment.start, reference)
deviation = util.cross_track_distance (
crosstrack.get_length(),
crosstrack.get_initial_bearing(),
segment.get_initial_bearing()
)
deviation_sum = deviation_sum + abs(deviation)
if abs(deviation) > config.max_deviation:
return False
#print '%s (ref = %s) crosstrack distance: %.1f' %\
#(segment, reference, d_x)
return deviation_sum
def get_hub(flights):
o = []
d = []
for flight in flights:
o.append(flight['route'].waypoints[0])
d.append(flight['route'].waypoints[-1])
mid_o = midpoint(o)
mid_d = midpoint(d)
trunk_route = Segment(mid_o, mid_d)
return mid_o.get_position(trunk_route.get_initial_bearing(),
trunk_route.get_length() * config.Z)
def get_exit(hub, trunk_route, flight):
dest = flight['route'].waypoints[-1]
hub_to_dest = Segment(hub, dest)
theta = abs(hub_to_dest.get_initial_bearing() -
trunk_route.get_initial_bearing())
(a, b) = project_segment(theta, hub_to_dest.get_length())
Q = get_hookoff_quotient(a, b, config.alpha)
d_hub_to_exit = a * Q
# Exit to destination must be long enough to allow for safe descent
# TOD is at 150NM out of dest, so exit->dest must be longer than 150NM
d_exit_to_dest = 0
while d_exit_to_dest < 150:
exit_point = hub.get_position(trunk_route.get_initial_bearing(),
d_hub_to_exit)
d_hub_to_exit -= 1
exit_dest = Segment(exit_point, dest)
d_exit_to_dest = exit_dest.get_length()
assert exit_dest.get_length() > 150
print 'For flight %s, the exit point is %dNM away from dest' % (
flight['route'], d_exit_to_dest)
return exit_point
def get_hub(flights):
o = []
d = []
for flight in flights:
o.append(flight['route'].waypoints[0])
d.append(flight['route'].waypoints[-1])
mid_o = midpoint(o)
mid_d = midpoint(d)
trunk_route = Segment(mid_o, mid_d)
return mid_o.get_position(
trunk_route.get_initial_bearing(),
trunk_route.get_length() * config.Z
)
def run():
# Discount incurred on formation trajectory by follower
alpha = .15
# The formation hub
hub = Waypoint('AMS')
# The end point of trunk route (midpoint of the destinations)
mid = Waypoint('JFK')
# The actual destination of current participant
des = Waypoint('SFO')
# The trunk route itself
trunk = Segment(hub, mid)
hookoff = get_hookoff(trunk, des, alpha)
print 'The trunk length = %d NM' % trunk.get_length()
print 'The hookoff distance = %d NM' % d(hub, hookoff)
print 'Therefore, Q = %.2f' % (d(hub, hookoff) / trunk.get_length())
def construct_hub(origins, destinations, Z):
midpoint_origins = midpoint(origins)
midpoint_destinations = midpoint(destinations)
hub_route = Segment(midpoint_origins, midpoint_destinations)
hub = hub_route.start.get_position(hub_route.get_initial_bearing(),
hub_route.get_length() * Z)
hub.origins = origins
hub.destinations = destinations
p('debug', 'Constructed hub at %s' % (hub))
return hub
def construct_hub(origins, destinations, Z):
midpoint_origins = midpoint(origins)
midpoint_destinations = midpoint(destinations)
hub_route = Segment(midpoint_origins, midpoint_destinations)
hub = hub_route.start.get_position(
hub_route.get_initial_bearing(),
hub_route.get_length() * Z
)
hub.origins = origins
hub.destinations = destinations
p('debug', 'Constructed hub at %s' % (hub))
return hub
def handle_arrive(event):
global vars, hubs
aircraft = event.sender
# Temporarily use one model for everything
model = copy.deepcopy(config.model)
# Also calculate the direct distance
segment = Segment(aircraft.origin, aircraft.destination)
direct = segment.get_length()
#direct = 3193 #temp overwrite for validation
p('validate', 'Distance direct for %s is %dNM' % (
aircraft, direct
))
p('validate', 'Getting the benchmark fuel')
vars['distance_direct'] += direct
vars['fuel_direct'] += get_fuel_burned_during_cruise(direct, model)
p('validate', 'OK, we have the benchmark fuel now')
hub = aircraft.hub
assert hub in config.hubs
# Sometimes (especially with very low Z and high L) aircraft are excluded
# from formation flight due to the origin being within the lock area.
if hasattr(aircraft, 'is_excluded') and aircraft.is_excluded:
vars['distance_solo'] += direct
vars['fuel_actual'] += get_fuel_burned_during_cruise(direct, model)
return
#key = 'flight_count_%s' % hub
#if key not in vars:
# vars[key] = 0
#vars[key] = vars[key] + 1
# Aircraft always fly solo to the hub
segment = Segment(aircraft.origin, hub)
origin_to_hub = segment.get_length()
p('Distance origin_to_hub for %s is %dNM' % (
aircraft,
origin_to_hub
))
vars['distance_solo'] += origin_to_hub
# If in formation
if hasattr(aircraft, 'formation'):
segment = Segment(hub, aircraft.hookoff_point)
hub_to_hookoff = segment.get_length()
p('Distance hub_to_hookoff for %s is %dNM' % (
aircraft,
hub_to_hookoff
))
vars['distance_formation'] += hub_to_hookoff
segment = Segment(aircraft.hookoff_point, aircraft.destination)
hookoff_to_destination = segment.get_length()
p('Distance hookoff_to_destination for %s is %dNM' % (
aircraft,
hookoff_to_destination
))
vars['distance_solo'] += hookoff_to_destination
# Collect all hub delays
# The calibration aircraft was never delayed
if hasattr(aircraft, 'hub_delay'):
vars['hub_delay_sum'] = vars['hub_delay_sum'] +\
aircraft.hub_delay
if aircraft.incurs_benefits:
discount = config.alpha
else:
discount = 0
p('validate', 'Discount = %s for %s' % (discount, aircraft))
fuel_formation = formationburn(
int(origin_to_hub),
int(hub_to_hookoff),
int(hookoff_to_destination),
model = model,
discount = discount
)
p('validate', 'Fuel burn formation = %d for %s' % (
fuel_formation, aircraft
))
vars['fuel_actual'] += fuel_formation
# If fully solo
else:
p('validate', 'Discount = false for %s' % (aircraft))
segment = Segment(hub, aircraft.destination)
hub_to_destination = segment.get_length()
p('Distance hub_to_destination for %s is %dNM' % (
aircraft,
hub_to_destination
))
vars['distance_solo'] += hub_to_destination
fuel_solo = get_fuel_burned_during_cruise(
origin_to_hub + hub_to_destination,
model = model,
)
p('validate', 'Fuel burn solo = %d for %s' % (
fuel_solo, aircraft
))
vars['fuel_actual'] += fuel_solo
def handle_arrive(event):
global vars, hubs
aircraft = event.sender
# Temporarily use one model for everything
model = copy.deepcopy(config.model)
# Also calculate the direct distance
segment = Segment(aircraft.origin, aircraft.destination)
direct = segment.get_length()
#direct = 3193 #temp overwrite for validation
p('validate', 'Distance direct for %s is %dNM' % (aircraft, direct))
p('validate', 'Getting the benchmark fuel')
vars['distance_direct'] += direct
vars['fuel_direct'] += get_fuel_burned_during_cruise(direct, model)
p('validate', 'OK, we have the benchmark fuel now')
hub = aircraft.hub
assert hub in config.hubs
# Sometimes (especially with very low Z and high L) aircraft are excluded
# from formation flight due to the origin being within the lock area.
if hasattr(aircraft, 'is_excluded') and aircraft.is_excluded:
vars['distance_solo'] += direct
vars['fuel_actual'] += get_fuel_burned_during_cruise(direct, model)
return
#key = 'flight_count_%s' % hub
#if key not in vars:
# vars[key] = 0
#vars[key] = vars[key] + 1
# Aircraft always fly solo to the hub
segment = Segment(aircraft.origin, hub)
origin_to_hub = segment.get_length()
p('Distance origin_to_hub for %s is %dNM' % (aircraft, origin_to_hub))
vars['distance_solo'] += origin_to_hub
# If in formation
if hasattr(aircraft, 'formation'):
segment = Segment(hub, aircraft.hookoff_point)
hub_to_hookoff = segment.get_length()
p('Distance hub_to_hookoff for %s is %dNM' %
(aircraft, hub_to_hookoff))
vars['distance_formation'] += hub_to_hookoff
segment = Segment(aircraft.hookoff_point, aircraft.destination)
hookoff_to_destination = segment.get_length()
p('Distance hookoff_to_destination for %s is %dNM' %
(aircraft, hookoff_to_destination))
vars['distance_solo'] += hookoff_to_destination
# Collect all hub delays
# The calibration aircraft was never delayed
if hasattr(aircraft, 'hub_delay'):
vars['hub_delay_sum'] = vars['hub_delay_sum'] +\
aircraft.hub_delay
if aircraft.incurs_benefits:
discount = config.alpha
else:
discount = 0
p('validate', 'Discount = %s for %s' % (discount, aircraft))
fuel_formation = formationburn(int(origin_to_hub),
int(hub_to_hookoff),
int(hookoff_to_destination),
model=model,
discount=discount)
p('validate',
'Fuel burn formation = %d for %s' % (fuel_formation, aircraft))
vars['fuel_actual'] += fuel_formation
# If fully solo
else:
p('validate', 'Discount = false for %s' % (aircraft))
segment = Segment(hub, aircraft.destination)
hub_to_destination = segment.get_length()
p('Distance hub_to_destination for %s is %dNM' %
(aircraft, hub_to_destination))
vars['distance_solo'] += hub_to_destination
fuel_solo = get_fuel_burned_during_cruise(
origin_to_hub + hub_to_destination,
model=model,
)
p('validate', 'Fuel burn solo = %d for %s' % (fuel_solo, aircraft))
vars['fuel_actual'] += fuel_solo
def calibrate(self):
"""Determines the trunk route and hookoff points"""
# Determine formation trunk route
destinations = []
for aircraft in self:
destinations.append(aircraft.destination)
arrival_midpoint = midpoint(destinations)
p('destinations: %s' % destinations)
p('midpoint = %s' % arrival_midpoint)
hub_to_midpoint = Segment(aircraft.hub, arrival_midpoint)
# Determine hookoff point for each aircraft, except the last
for aircraft in self:
hub_to_destination = Segment(aircraft.hub, aircraft.destination)
p('flight %s hub %s to destination: %s' % (
aircraft,
'%s{%d, %d}' % (
aircraft.hub,
aircraft.hub.lat,
aircraft.hub.lon
),
aircraft.destination
))
p('flight %s hub %s to midpoint: %s' % (
aircraft,
'%s{%d, %d}' % (
aircraft.hub,
aircraft.hub.lat,
aircraft.hub.lon
),
arrival_midpoint
))
aircraft.hookoff_point = get_hookoff(
hub_to_midpoint,
aircraft.destination,
config.alpha
)
hub_to_hookoff = Segment(aircraft.hub, aircraft.hookoff_point)
aircraft.Q = hub_to_hookoff.get_length() /\
hub_to_midpoint.get_length()
p('flight %s, hub %s to hook-off point: %s' % (
aircraft,
'%s{%d, %d}' % (
aircraft.hub,
aircraft.hub.lat,
aircraft.hub.lon
),
aircraft.hookoff_point
))
aircraft.hookoff_point.name = 'hookoff-%s' % aircraft.hookoff_point
# Place aircraft in order, ascending with Q, to fulfill LIFO condition.
formation = sorted(self, key = lambda item: item.Q)
# All aircraft at the front of the formation having the same destination
# should hook off where the previous buddy (having a different
# destination) hooked off.
# Example: formation AMS-SFO, BRU-SFO, LHR-ATL.
# AMS-SFO and BRU-SFO should hook off where LHR-ATL hooked off.
# @todo Let AMS-SFO and BRU-SFO continue together along a new average
# formation trajectory (in this case directly to the destination)
# First find the leading set of aircraft having the same destination
formation.reverse()
leading_destination = formation[0].destination
leaders = []
for aircraft in formation:
# Start with always incurring benefits
aircraft.incurs_benefits = True
if not aircraft.destination.coincides(leading_destination):
aircraft.is_leader = False
continue
aircraft.is_leader = True
# Only the first leader incurs no benefits at all
if len(leaders) == 0:
aircraft.incurs_benefits = False
leaders.append(aircraft)
p('Leaders of formation %s are %s' % (
formation,
leaders
))
# Then find the buddy just before the set of leading aircraft, if
# it exists.
try:
# The leaders: same hookoff point as last buddy.
last_buddy = formation[len(leaders)]
for aircraft in leaders:
aircraft.Q = last_buddy.Q
#aircraft.P = last_buddy.P
aircraft.hookoff_point = last_buddy.hookoff_point
except IndexError:
pass
# Change reversed formation back to normal
formation.reverse()
for aircraft in formation:
p('Adjusting waypoints of %s. Initial waypoints: %s' % (
aircraft,
aircraft.route.waypoints
))
aircraft.route.waypoints = [
#aircraft.hub,
aircraft.hookoff_point,
aircraft.destination]
aircraft.route.init_segments()
p('Adjusted waypoints of %s. New waypoints: %s' % (
aircraft,
aircraft.route.waypoints
))
p('Need to calibrate aircraft %s (%s) in formation %s' % (
aircraft, aircraft.route, formation
))
aircraft.controller.calibrate()
def execute():
models = {
'777': {
'V': 500,
'c_T': .56,
'L_D': 19.26,
'MTOW': 200000
},
'767': {
'V': 500,
'c_T': .54,
'L_D': 17,
'MTOW': 190000
},
'330': {
'V': 500,
'c_T': .54,
'L_D': 17,
'MTOW': 190000
},
'340': {
'V': 500,
'c_T': .54,
'L_D': 17,
'MTOW': 250000
}
}
formation = [{
'aircraft': '777',
'route': Route([Waypoint('DUS'), Waypoint('IAD')]),
'discount': 0,
}, {
'aircraft': '777',
'route': Route([Waypoint('BRU'), Waypoint('ORD')]),
'discount': config.alpha
}, {
'aircraft': '777',
'route': Route([Waypoint('AMS'), Waypoint('IAH')]),
'discount': config.alpha
}]
solo = [{
'aircraft': '777',
'route': Route([Waypoint('LHR'), Waypoint('ATL')])
}, {
'aircraft': '777',
'route': Route([Waypoint('FRA'), Waypoint('SFO')])
}]
hub = get_hub(formation + solo)
benchmark = copy.deepcopy(formation) + copy.deepcopy(solo)
trunk_route = get_trunk_route(hub, formation)
print trunk_route
# Origin to TOC
d_0 = 100
# Exit to TOD
d_3 = 0
# TOD to Destination
d_4 = 150
F_formation = 0
for flight in formation:
# Direct great circle connection
d_direct = flight['route'].get_length()
# Distance from origin to hub
origin_to_hub = Route([flight['route'].waypoints[0], hub])
d_origin_to_hub = origin_to_hub.get_length()
# TOC to hub
d_1 = d_origin_to_hub - d_0
# Hub to exit
exit_point = get_exit(hub, trunk_route, flight)
hub_to_exit = Segment(hub, exit_point)
d_2 = hub_to_exit.get_length()
# Exit to TOD
exit_to_dest = Segment(exit_point, flight['route'].waypoints[-1])
d_3 = exit_to_dest.get_length() - d_4
flight['f'] = fuel_per_stage(d_1, d_2, models[flight['aircraft']],
flight['discount'])
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_formation += sum(flight['f'])
print 'formation fuel burn: %.2f' % (F_formation)
# Origin to TOC
d_0 = 100
# Exit to TOD
d_3 = 0
# TOD to Destination
d_4 = 150
F_solo = 0
for flight in solo:
# Total route length
full_route = Route([
flight['route'].waypoints[0],
hub,
flight['route'].waypoints[-1],
])
d_total = full_route.get_length()
# Distance from origin to hub
origin_to_hub = Route([flight['route'].waypoints[0], hub])
d_origin_to_hub = origin_to_hub.get_length()
# TOC to hub
d_1 = d_origin_to_hub - d_0
# Hub to TOD (not to exit point)
d_2 = d_total - d_0 - d_1 - d_4
flight['f'] = fuel_per_stage(d_1, d_2, models[flight['aircraft']])
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_solo += sum(flight['f'])
print 'solo fuel burn: %.2f' % (F_solo)
F_b = 0
for flight in benchmark:
# In the benchmark scenario, fly directly from origin to destination
d_1 = flight['route'].get_length() - d_0 - d_4
d_2 = 0
flight['f'] = fuel_per_stage(d_1, d_2, models[flight['aircraft']])
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_b += sum(flight['f'])
#def temp():
print 'benchmark fuel burn: %.2f' % (F_b)
F_s = 100 * (F_b - (F_formation + F_solo)) / F_b
print 'fuel saved: %.2f%%' % F_s
print '--DISTANCE: formation flying scenario--'
for i in [0, 1, 2, 3, 4]:
row = r'$d_i^%d$' % i
for flight in formation + solo:
row += ' & %d' % flight['d'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in formation + solo:
row += ' & %d' % sum(flight['d'])
row += r' \\'
print row
print '--DISTANCE: benchmark scenario--'
for i in [0, 1, 2, 3, 4]:
row = r'$F_i^%d$' % i
for flight in benchmark:
row += ' & %d' % flight['d'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in benchmark:
row += ' & %d' % sum(flight['d'])
row += r' \\'
print row
print '--FUEL: formation flying scenario--'
for i in [0, 1, 2, 3, 4]:
row = r'$F_i^%d$' % i
for flight in formation + solo:
row += ' & %d' % flight['f'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in formation + solo:
row += ' & %d' % sum(flight['f'])
row += r' \\'
print row
print '--FUEL: benchmark scenario--'
for i in [0, 1, 2, 3, 4]:
row = r'$F_i^%d$' % i
for flight in benchmark:
row += ' & %d' % flight['f'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in benchmark:
row += ' & %d' % sum(flight['f'])
row += r' \\'
print row
S_d = (
formation[0]['d'][2] +\
formation[1]['d'][2] +\
formation[2]['d'][2]
)/(
sum(formation[0]['d']) +\
sum(formation[1]['d']) +\
sum(formation[2]['d']) +\
sum(solo[0]['d']) +\
sum(solo[1]['d'])
)
F_s = 1 - (
sum(formation[0]['f']) +\
sum(formation[1]['f']) +\
sum(formation[2]['f']) +\
sum(solo[0]['f']) +\
sum(solo[1]['f'])
)/(
sum(benchmark[0]['f']) +\
sum(benchmark[1]['f']) +\
sum(benchmark[2]['f']) +\
sum(benchmark[3]['f']) +\
sum(benchmark[4]['f'])
)
p_tot = (
sum(formation[0]['d']) +\
sum(formation[1]['d']) +\
sum(formation[2]['d']) +\
sum(solo[0]['d']) +\
sum(solo[1]['d'])
)/(
sum(benchmark[0]['d']) +\
sum(benchmark[1]['d']) +\
sum(benchmark[2]['d']) +\
sum(benchmark[3]['d']) +\
sum(benchmark[4]['d'])
) - 1
print '--ANALYTICAL OUTPUT RESULTS--'
print r'$S_f$ & 0.6 & 0.6 \\'
print r'$S_d$ & %.4f & %.4f \\' % (S_d, S_d)
print r'$F_s$ & FILLIN & FILLIN \\'
print r'$F^{rel}_s$ & %.4f & %.4f \\' % (F_s, F_s)
print r'$p_{tot}$ & %.4f & %.4f \\' % (p_tot, p_tot)
def execute():
models = {
'777' : {
'V' : 500,
'c_T' : .56,
'L_D' : 19.26,
'MTOW' : 200000
},
'767' : {
'V' : 500,
'c_T' : .54,
'L_D' : 17,
'MTOW' : 190000
},
'330' : {
'V' : 500,
'c_T' : .54,
'L_D' : 17,
'MTOW' : 190000
},
'340' : {
'V' : 500,
'c_T' : .54,
'L_D' : 17,
'MTOW' : 250000
}
}
formation = [{
'aircraft' : '777',
'route' : Route([Waypoint('DUS'), Waypoint('IAD')]),
'discount' : 0,
},{
'aircraft' : '777',
'route' : Route([Waypoint('BRU'), Waypoint('ORD')]),
'discount' : config.alpha
},{
'aircraft' : '777',
'route' : Route([Waypoint('AMS'), Waypoint('IAH')]),
'discount' : config.alpha
}]
solo = [{
'aircraft' : '777',
'route' : Route([Waypoint('LHR'), Waypoint('ATL')])
},{
'aircraft' : '777',
'route' : Route([Waypoint('FRA'), Waypoint('SFO')])
}]
hub = get_hub(formation + solo)
benchmark = copy.deepcopy(formation) + copy.deepcopy(solo)
trunk_route = get_trunk_route(hub, formation)
print trunk_route
# Origin to TOC
d_0 = 100
# Exit to TOD
d_3 = 0
# TOD to Destination
d_4 = 150
F_formation = 0
for flight in formation:
# Direct great circle connection
d_direct = flight['route'].get_length()
# Distance from origin to hub
origin_to_hub = Route([flight['route'].waypoints[0], hub])
d_origin_to_hub = origin_to_hub.get_length()
# TOC to hub
d_1 = d_origin_to_hub - d_0
# Hub to exit
exit_point = get_exit(hub, trunk_route, flight)
hub_to_exit = Segment(hub, exit_point)
d_2 = hub_to_exit.get_length()
# Exit to TOD
exit_to_dest = Segment(exit_point, flight['route'].waypoints[-1])
d_3 = exit_to_dest.get_length() - d_4
flight['f'] = fuel_per_stage(
d_1, d_2, models[flight['aircraft']], flight['discount']
)
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_formation += sum(flight['f'])
print 'formation fuel burn: %.2f' % (F_formation)
# Origin to TOC
d_0 = 100
# Exit to TOD
d_3 = 0
# TOD to Destination
d_4 = 150
F_solo = 0
for flight in solo:
# Total route length
full_route = Route([
flight['route'].waypoints[0],
hub,
flight['route'].waypoints[-1],
])
d_total = full_route.get_length()
# Distance from origin to hub
origin_to_hub = Route([flight['route'].waypoints[0], hub])
d_origin_to_hub = origin_to_hub.get_length()
# TOC to hub
d_1 = d_origin_to_hub - d_0
# Hub to TOD (not to exit point)
d_2 = d_total - d_0 - d_1 - d_4
flight['f'] = fuel_per_stage(
d_1, d_2, models[flight['aircraft']]
)
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_solo += sum(flight['f'])
print 'solo fuel burn: %.2f' % (F_solo)
F_b = 0
for flight in benchmark:
# In the benchmark scenario, fly directly from origin to destination
d_1 = flight['route'].get_length() - d_0 - d_4
d_2 = 0
flight['f'] = fuel_per_stage(
d_1, d_2, models[flight['aircraft']]
)
flight['d'] = [d_0, d_1, d_2, d_3, d_4]
F_b += sum(flight['f'])
#def temp():
print 'benchmark fuel burn: %.2f' % (F_b)
F_s = 100 * (F_b - (F_formation + F_solo)) / F_b
print 'fuel saved: %.2f%%' % F_s
print '--DISTANCE: formation flying scenario--'
for i in [0,1,2,3,4]:
row = r'$d_i^%d$' % i
for flight in formation + solo:
row += ' & %d' % flight['d'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in formation + solo:
row += ' & %d' % sum(flight['d'])
row += r' \\'
print row
print '--DISTANCE: benchmark scenario--'
for i in [0,1,2,3,4]:
row = r'$F_i^%d$' % i
for flight in benchmark:
row += ' & %d' % flight['d'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in benchmark:
row += ' & %d' % sum(flight['d'])
row += r' \\'
print row
print '--FUEL: formation flying scenario--'
for i in [0,1,2,3,4]:
row = r'$F_i^%d$' % i
for flight in formation + solo:
row += ' & %d' % flight['f'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in formation + solo:
row += ' & %d' % sum(flight['f'])
row += r' \\'
print row
print '--FUEL: benchmark scenario--'
for i in [0,1,2,3,4]:
row = r'$F_i^%d$' % i
for flight in benchmark:
row += ' & %d' % flight['f'][i]
row += r' \\'
print row
print r'\hline'
row = r'$\sum$'
for flight in benchmark:
row += ' & %d' % sum(flight['f'])
row += r' \\'
print row
S_d = (
formation[0]['d'][2] +\
formation[1]['d'][2] +\
formation[2]['d'][2]
)/(
sum(formation[0]['d']) +\
sum(formation[1]['d']) +\
sum(formation[2]['d']) +\
sum(solo[0]['d']) +\
sum(solo[1]['d'])
)
F_s = 1 - (
sum(formation[0]['f']) +\
sum(formation[1]['f']) +\
sum(formation[2]['f']) +\
sum(solo[0]['f']) +\
sum(solo[1]['f'])
)/(
sum(benchmark[0]['f']) +\
sum(benchmark[1]['f']) +\
sum(benchmark[2]['f']) +\
sum(benchmark[3]['f']) +\
sum(benchmark[4]['f'])
)
p_tot = (
sum(formation[0]['d']) +\
sum(formation[1]['d']) +\
sum(formation[2]['d']) +\
sum(solo[0]['d']) +\
sum(solo[1]['d'])
)/(
sum(benchmark[0]['d']) +\
sum(benchmark[1]['d']) +\
sum(benchmark[2]['d']) +\
sum(benchmark[3]['d']) +\
sum(benchmark[4]['d'])
) - 1
print '--ANALYTICAL OUTPUT RESULTS--'
print r'$S_f$ & 0.6 & 0.6 \\'
print r'$S_d$ & %.4f & %.4f \\' % (S_d, S_d)
print r'$F_s$ & FILLIN & FILLIN \\'
print r'$F^{rel}_s$ & %.4f & %.4f \\' % (F_s, F_s)
print r'$p_{tot}$ & %.4f & %.4f \\' % (p_tot, p_tot)
def calibrate(self):
"""Determines the trunk route and hookoff points"""
# Determine formation trunk route
destinations = []
for aircraft in self:
destinations.append(aircraft.destination)
arrival_midpoint = midpoint(destinations)
p('destinations: %s' % destinations)
p('midpoint = %s' % arrival_midpoint)
hub_to_midpoint = Segment(aircraft.hub, arrival_midpoint)
# Determine hookoff point for each aircraft, except the last
for aircraft in self:
hub_to_destination = Segment(aircraft.hub, aircraft.destination)
p('flight %s hub %s to destination: %s' %
(aircraft, '%s{%d, %d}' %
(aircraft.hub, aircraft.hub.lat, aircraft.hub.lon),
aircraft.destination))
p('flight %s hub %s to midpoint: %s' %
(aircraft, '%s{%d, %d}' %
(aircraft.hub, aircraft.hub.lat, aircraft.hub.lon),
arrival_midpoint))
aircraft.hookoff_point = get_hookoff(hub_to_midpoint,
aircraft.destination,
config.alpha)
hub_to_hookoff = Segment(aircraft.hub, aircraft.hookoff_point)
aircraft.Q = hub_to_hookoff.get_length() /\
hub_to_midpoint.get_length()
p('flight %s, hub %s to hook-off point: %s' %
(aircraft, '%s{%d, %d}' %
(aircraft.hub, aircraft.hub.lat, aircraft.hub.lon),
aircraft.hookoff_point))
aircraft.hookoff_point.name = 'hookoff-%s' % aircraft.hookoff_point
# Place aircraft in order, ascending with Q, to fulfill LIFO condition.
formation = sorted(self, key=lambda item: item.Q)
# All aircraft at the front of the formation having the same destination
# should hook off where the previous buddy (having a different
# destination) hooked off.
# Example: formation AMS-SFO, BRU-SFO, LHR-ATL.
# AMS-SFO and BRU-SFO should hook off where LHR-ATL hooked off.
# @todo Let AMS-SFO and BRU-SFO continue together along a new average
# formation trajectory (in this case directly to the destination)
# First find the leading set of aircraft having the same destination
formation.reverse()
leading_destination = formation[0].destination
leaders = []
for aircraft in formation:
# Start with always incurring benefits
aircraft.incurs_benefits = True
if not aircraft.destination.coincides(leading_destination):
aircraft.is_leader = False
continue
aircraft.is_leader = True
# Only the first leader incurs no benefits at all
if len(leaders) == 0:
aircraft.incurs_benefits = False
leaders.append(aircraft)
p('Leaders of formation %s are %s' % (formation, leaders))
# Then find the buddy just before the set of leading aircraft, if
# it exists.
try:
# The leaders: same hookoff point as last buddy.
last_buddy = formation[len(leaders)]
for aircraft in leaders:
aircraft.Q = last_buddy.Q
#aircraft.P = last_buddy.P
aircraft.hookoff_point = last_buddy.hookoff_point
except IndexError:
pass
# Change reversed formation back to normal
formation.reverse()
for aircraft in formation:
p('Adjusting waypoints of %s. Initial waypoints: %s' %
(aircraft, aircraft.route.waypoints))
aircraft.route.waypoints = [
#aircraft.hub,
aircraft.hookoff_point,
aircraft.destination
]
aircraft.route.init_segments()
p('Adjusted waypoints of %s. New waypoints: %s' %
(aircraft, aircraft.route.waypoints))
p('Need to calibrate aircraft %s (%s) in formation %s' %
(aircraft, aircraft.route, formation))
aircraft.controller.calibrate()