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

Cheng He (), Hao Lin, Yixun Lin and Ji Tian

Central European Journal of Operations Research, 2013, vol. 21, issue 1, 177-186

Abstract: 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. Copyright Springer-Verlag 2013

Keywords: Multicriteria scheduling; Batching machine; Maximum lateness; Pareto optimal solutions; 68Q25; 90B35; 90B50 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10100-011-0220-9

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