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assign1.py: Using SCOP for solving an assignment problem Copyright (c) by Joao Pedro PEDROSO and Mikio KUBO, 2011 Example 1 (Assignment Problem): Three jobs (0,1,2) must be assigned to three workers (A,B,C) so that each job is assigned to exactly one worker. The cost matrix is represented by the list of lists Cost=[[15, 20, 30], [7, 15, 12], [25,10,13]], where rows of the matrix are workers, and columns are jobs. Find the minimum cost assignment of workers to jobs. |
assign2.py: Using SCOP for solving an assignment problem under linear constraints. Copyright (c) by Joao Pedro PEDROSO and Mikio KUBO, 2011 Example 2 (Generalized Assignment Problem): Three jobs (0,1,2) must be assigned to five workers (A,B,C,D,E). The numbers of workers that must be assigned to jobs 0,1 and 2 are 1,1 and 2, respectively. The cost matrix is represented by the list of lists Cost=[[15, 20, 30], [7, 15, 12], [25,10,13], [15,18,3], [5,12,17]] where rows are workers, and columns are jobs. Find the minimum cost assignment of workers to jobs. |
assign3.py: Using SCOP for solving an assignment problem under a quadratic constraint. Copyright (c) by Joao Pedro PEDROSO and Mikio KUBO, 2011 Example 3 (Variation of Generalized Assignment Problem): Three jobs (0,1,2) must be assigned to five workers (A,B,C,D,E). The numbers of workers that must be assigned to jobs 0,1 and 2 are 1,1 and 2, respectively. The cost matrix is represented by the list of lists Cost=[[15, 20, 30], [7, 15, 12], [25,10,13], [15,18,3], [5,12,17]] where rows are workers, and columns are jobs. We add an additional condition: worker A cannot do the job with worker C. Find the minimum cost assignment of workers to jobs. |
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