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Batch-Processing Scheduling with Setup Times

Author

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  • Chuangyin Dang

    (Shanghai, University)

  • Liying Kang

    (City Universtity of Hong Kong)

Abstract

The problem is to minimize the total weighted completion time on a single batch-processing machine with setup times. The machine can process a batch of at most B jobs at one time, and the processing time of a batch is given by the longest processing time among the jobs in the batch. The setup time of a batch is given by the largest setup time among the jobs in the batch. This batch-processing problem reduces to the ordinary uni-processor scheduling problem when B = 1. In this paper we focus on the extreme case of B = +∞, i.e. a batch can contain any number of jobs. We present in this paper a polynomial-time approximation algorithm for the problem with a performance guarantee of 2. We further show that a special case of the problem can be solved in polynomial time.

Suggested Citation

  • Chuangyin Dang & Liying Kang, 2004. "Batch-Processing Scheduling with Setup Times," Journal of Combinatorial Optimization, Springer, vol. 8(2), pages 137-146, June.
    • Handle: RePEc:spr:jcomop:v:8:y:2004:i:2:d:10.1023_b:joco.0000031415.55216.2a
    DOI: 10.1023/B:JOCO.0000031415.55216.2a
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    References listed on IDEAS

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    1. Dorit S. Hochbaum & Dan Landy, 1997. "Scheduling Semiconductor Burn-In Operations to Minimize Total Flowtime," Operations Research, INFORMS, vol. 45(6), pages 874-885, December.
    2. Matteo Fischetti & Silvano Martello & Paolo Toth, 1992. "Approximation Algorithms for Fixed Job Schedule Problems," Operations Research, INFORMS, vol. 40(1-supplem), pages 96-108, February.
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    Cited by:

    1. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    2. Jun-Qiang Wang & Guo-Qiang Fan & Zhixin Liu, 2020. "Mixed batch scheduling on identical machines," Journal of Scheduling, Springer, vol. 23(4), pages 487-496, August.

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