Bicriteria scheduling on a series-batching machine to minimize maximum cost and makespan

被引:0
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作者
Cheng He
Hao Lin
Yixun Lin
Ji Tian
机构
[1] Henan University of Technology,School of Science
[2] Zhengzhou University,Department of Mathematics
[3] China University of Mining and Technology,School of Science
关键词
Multicriteria scheduling; Batching machine; Maximum lateness; Pareto optimal solutions; 68Q25; 90B35; 90B50;
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摘要
This paper studies the bicriteria problem of scheduling n jobs on a serial-batching machine to minimize maximum cost and makespan simultaneously. A serial-batching machine is a machine that can handle up to b jobs in a batch and jobs in a batch start and complete respectively at the same time and the processing time of a batch is equal to the sum of the processing times of jobs in the batch. When a new batch starts, a constant setup time s occurs. We confine ourselves to the unbounded model, where b ≥ n. We present a polynomial-time algorithm for finding all Pareto optimal solutions of this bicriteria scheduling problem.
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页码:177 / 186
页数:9
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