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Single machine lot scheduling with non-uniform lot capacities and processing times

Author

Listed:
  • Ying Chen

    (Xi’an Jiaotong University)

  • Yongxi Cheng

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering)

  • Guiqing Zhang

    (Xi’an Jiaotong University)

Abstract

In this paper, we investigate the single machine lot scheduling problem in which each lot contains one or more jobs (or part of jobs). Jobs with different sizes are splittable and should be processed in consecutive lots. Any completed (part of a) job is delivered to the customer on its completion. We generalize the problem studied in Zhang et al. (Inf Process Lett 142:46–51, 2019) such that lots may have different capacities and processing times, and the sizes of jobs are unbounded. We show that for this generalized case, the WSPT (Weighted Shortest Processing Time first) rule is still optimal for both minimizing total weighted completion time and minimizing total weighted discounted completion time.

Suggested Citation

  • Ying Chen & Yongxi Cheng & Guiqing Zhang, 2022. "Single machine lot scheduling with non-uniform lot capacities and processing times," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1359-1367, July.
    • Handle: RePEc:spr:jcomop:v:43:y:2022:i:5:d:10.1007_s10878-020-00654-5
    DOI: 10.1007/s10878-020-00654-5
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    References listed on IDEAS

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    1. Gregory Dobson & Uday S. Karmarkar & Jeffrey L. Rummel, 1989. "Batching to Minimize Flow Times on Parallel Heterogeneous Machines," Management Science, INFORMS, vol. 35(5), pages 607-613, May.
    2. Edward G. Coffman & Ardavan Nozari & Mihalis Yannakakis, 1989. "Optimal Scheduling of Products with Two Subassemblies on a Single Machine," Operations Research, INFORMS, vol. 37(3), pages 426-436, June.
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