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

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  • Cheng He
  • Hao Lin
  • Yixun Lin
  • Ji Tian

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

Suggested Citation

  • Cheng He & Hao Lin & Yixun Lin & Ji Tian, 2013. "Bicriteria scheduling on a series-batching machine to minimize maximum cost and makespan," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 177-186, January.
    • Handle: RePEc:spr:cejnor:v:21:y:2013:i:1:p:177-186
    DOI: 10.1007/s10100-011-0220-9
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    References listed on IDEAS

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    1. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    2. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
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    Cited by:

    1. Gais Alhadi & Imed Kacem & Pierre Laroche & Izzeldin M. Osman, 2020. "Approximation algorithms for minimizing the maximum lateness and makespan on parallel machines," Annals of Operations Research, Springer, vol. 285(1), pages 369-395, February.
    2. Geng, Zhichao & Yuan, Jinjiang & Yuan, Junling, 2018. "Scheduling with or without precedence relations on a serial-batch machine to minimize makespan and maximum cost," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 1-18.

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