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Customer order scheduling on batch processing machines with incompatible job families

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  • Zhongshun Shi
  • Zewen Huang
  • Leyuan Shi

Abstract

This paper addresses the order scheduling problems under configurations of single batch machine and parallel batch machines. Each order consists of several kinds of jobs from different incompatible job families with specific quantities. The batch machine is able to handle a group of jobs simultaneously. Incompatible job families are considered. The objectives are to minimise the order makespan and total weighted order completion time. We prove that the problems with minimising order makespan can be solved in polynomial time for single batch machine and parallel batch machines. As for minimising the total weighted order completion time, efficient heuristic algorithms together with the worst-case analysis are proposed. Numerical results show that the proposed algorithms can achieve high-quality solutions.

Suggested Citation

  • Zhongshun Shi & Zewen Huang & Leyuan Shi, 2018. "Customer order scheduling on batch processing machines with incompatible job families," International Journal of Production Research, Taylor & Francis Journals, vol. 56(1-2), pages 795-808, January.
    • Handle: RePEc:taf:tprsxx:v:56:y:2018:i:1-2:p:795-808
    DOI: 10.1080/00207543.2017.1401247
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    Cited by:

    1. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    2. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.

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