K2 DOMINANCE ORDERS FOR SCHEDULING PROBLEMS(Keynote speech)
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概要
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A partial order on the set of jobs in a scheduling problem is a dominance order if there is an optimal sequence for the jobs which is consistent with the order. We consider a technique, called subset-restricted pairwise interchange, which can be used to interchange pairs of jobs around subsets of jobs satisfying certain conditions, without increasing the cost of the schedule. We use a new interchange operator, we call Shuffle Interchange (SI), which generalizes well-known interchange operators used in scheduling theory. Using SI, we derive dominance orders for various one- and two-machine scheduling problems and give a unified treatment of all these dominance orders. These orders allow us to reduce the search space for solution algorithms, and result in substantial reductions in running time.
- 一般社団法人日本機械学会の論文
- 2004-05-24
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