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ortools-clone/ortools/graph/samples/assignment_linear_sum_assignment.py
2022-03-31 18:21:35 +02:00

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Python
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#!/usr/bin/env python3
# Copyright 2010-2021 Google LLC
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# [START program]
"""Solve assignment problem using linear assignment solver."""
# [START import]
from ortools.graph.python import linear_sum_assignment
# [END import]
def main():
"""Linear Sum Assignment example."""
# [START solver]
assignment = linear_sum_assignment.SimpleLinearSumAssignment()
# [END solver]
# [START data]
costs = [
[90, 76, 75, 70],
[35, 85, 55, 65],
[125, 95, 90, 105],
[45, 110, 95, 115],
]
num_workers = len(costs)
num_tasks = len(costs[0])
# [END data]
# [START constraints]
for worker in range(num_workers):
for task in range(num_tasks):
if costs[worker][task]:
assignment.add_arc_with_cost(worker, task, costs[worker][task])
# [END constraints]
# [START solve]
status = assignment.solve()
# [END solve]
# [START print_solution]
if status == assignment.OPTIMAL:
print(f'Total cost = {assignment.optimal_cost()}\n')
for i in range(0, assignment.num_nodes()):
print(f'Worker {i} assigned to task {assignment.right_mate(i)}.' +
f' Cost = {assignment.assignment_cost(i)}')
elif status == assignment.INFEASIBLE:
print('No assignment is possible.')
elif status == assignment.POSSIBLE_OVERFLOW:
print(
'Some input costs are too large and may cause an integer overflow.')
# [END print_solution]
if __name__ == '__main__':
main()
# [END Program]