def greedy_repair(current, random_state):
"""
Greedily repairs a tour, stitching up nodes that are not departed
with those not visited.
"""
visited = set(current.edges.values())
# This kind of randomness ensures we do not cycle between the same
# destroy and repair steps every time.
shuffled_idcs = random_state.permutation(len(current.nodes))
nodes = [current.nodes[idx] for idx in shuffled_idcs]
while len(current.edges) != len(current.nodes):
node = next(node for node in nodes if node not in current.edges)
# Computes all nodes that have not currently been visited,
# that is, those that this node might visit. This should
# not result in a subcycle, as that would violate the TSP
# constraints.
unvisited = {
other
for other in current.nodes if other != node if other not in visited
if not would_form_subcycle(node, other, current)
}
# Closest visitable node.
nearest = min(unvisited,
key=lambda other: distances.euclidean(node[1], other[1]))
current.edges[node] = nearest
visited.add(nearest)
return current
def objective(self):
"""
The objective function is simply the sum of all individual edge lengths,
using the rounded Euclidean norm.
"""
return sum(
distances.euclidean(node[1], self.edges[node][1])
for node in self.nodes)
def load_instance(self, name: str) -> None:
problem: Problem = load_problem(Instance.PATH.format(name))
coords: OrderedDict = problem.node_coords
d = problem.dimension
self.adjacency_matrix = np.zeros(shape=(d, d), dtype=np.int)
for i in range(d):
for j in range(d):
self.adjacency_matrix[i,
j] = euclidean(coords[i + 1],
coords[j + 1])
self.city_coords: np.ndarray = np.array(list(coords.values()))
def create_distances_matrix(coords):
"""
:param coords:
:return:
"""
n = len(coords)
matrix = []
for coord1 in coords:
row = []
for coord2 in coords:
row.append(distances.euclidean(coord1, coord2))
matrix.append(row)
return np.array(matrix)
def load_instance_tsplib(path):
problem = load_problem(path)
coords = problem.node_coords
d = problem.dimension
dimension_matrix = np.zeros(shape=(d, d), dtype=np.int)
for i in range(d):
for j in range(d):
dimension_matrix[i, j] = int(
round(euclidean(coords[i + 1], coords[j + 1])))
final_coords = np.array(list(coords.values()))
return final_coords, dimension_matrix
def worst_removal(current, random_state):
"""
Worst removal iteratively removes the 'worst' edges, that is,
those edges that have the largest distance.
"""
destroyed = current.copy()
worst_edges = sorted(destroyed.nodes,
key=lambda node: distances.euclidean(
node[1], destroyed.edges[node][1]))
for idx in range(edges_to_remove(current)):
del destroyed.edges[worst_edges[-idx - 1]]
return destroyed
def cost(subpath):
path = fix_bounds(subpath, start_node, end_node)
return sum(
distances.euclidean(path[idx][1], path[idx + 1][1])
for idx in range(len(path) - 1))
def test_euclidean(start, end, dist, exc):
if exc:
with pytest.raises(exc):
distances.euclidean(start, end)
else:
assert distances.euclidean(start, end) == dist
def test_euclidean(start, end, distance):
assert distances.euclidean(start, end) == distance
def euclidean_jitter(a, b):
dist = distances.euclidean(a, b) # works for n-dimensions
return dist * random.random() * 2