Files
ortools-clone/examples/python/linear_assignment_api.py
2012-03-28 14:23:23 +00:00

67 lines
2.1 KiB
Python

# Copyright 2010-2011 Google
# 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.
"""Test linear sum assignment on a 4x4 matrix.
Example taken from:
http://www.ee.oulu.fi/~mpa/matreng/eem1_2-1.htm with kCost[0][1]
modified so the optimum solution is unique.
"""
from google.apputils import app
from graph import pywrapgraph
def RunAssignmentOn4x4Matrix(forward_graph):
"""Test linear sum assignment on a 4x4 matrix.
Arguments:
forward_graph: if true uses a ForwardStarGraph or a StarGraph to model
the assignment problem.
"""
num_sources = 4
num_targets = 4
cost = [[90, 76, 75, 80],
[35, 85, 55, 65],
[125, 95, 90, 105],
[45, 110, 95, 115]]
expected_cost = cost[0][3] + cost[1][2] + cost[2][1] + cost[3][0]
if forward_graph:
graph = pywrapgraph.ForwardStarGraph(num_sources + num_targets,
num_sources * num_targets)
assignment = pywrapgraph.ForwardEbertLinearSumAssignment(graph, num_sources)
else:
graph = pywrapgraph.StarGraph(num_sources + num_targets,
num_sources * num_targets)
assignment = pywrapgraph.EbertLinearSumAssignment(graph, num_sources)
for source in range (0, num_sources):
for target in range(0, num_targets):
arc = graph.AddArc(source, num_sources + target)
assignment.SetArcCost(arc, cost[source][target])
assignment.ComputeAssignment()
total_cost = assignment.GetCost()
print 'total cost', total_cost, '/', expected_cost
def main(unused_argv):
RunAssignmentOn4x4Matrix(True)
RunAssignmentOn4x4Matrix(False)
if __name__ == '__main__':
app.run()