| 摘要 |
A schedule is generated by which physical items to be manufactured are assigned into production slots. The physical items have constraints governing manufacture of the physical items. The method generates coefficient matrix clusters from a mathematical programming problem based on an actual scheduling problem. Each coefficient matrix cluster defines a variable cluster-constraint cluster pair. A variable cluster of each coefficient matrix cluster defines production slot-physical item pairs. A constraint cluster of each coefficient matrix cluster defines a group of constraints. Each coefficient matrix cluster includes coefficient-binary variable pairs, each pair having a binary variable multiplied by a coefficient. For each coefficient matrix cluster, the method reduces non-zero factors within the cluster. Each non-zero factor within the coefficient matrix cluster is defined as a coefficient-binary variable pair such that the binary variable of the pair multiplied by the coefficient of the pair is non-zero. The schedule is then generated.
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