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Parallel Machine Scheduling with Batch Setup Times

Author

Listed:
  • T. C. E. Cheng

    (Hong Kong Polytechnic, Hung Horn, Kowloon, Hong Kong)

  • Z.-L. Chen

    (Shanghai Transportation Planning Institute, Shanghai, People's Republic of China)

Abstract

We consider a problem of scheduling several batches of jobs on two identical parallel machines to minimize the total completion time of jobs. A setup time is incurred whenever there is a switch from processing a job in one batch to a job in another batch. When the number of jobs is arbitrary, the computational complexity of the problem is posed as an open problem in the literature. We show in this note that the problem is binary NP-hard even when the setup times are sequence independent and all processing times are equal.

Suggested Citation

  • T. C. E. Cheng & Z.-L. Chen, 1994. "Parallel Machine Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 42(6), pages 1171-1174, December.
  • Handle: RePEc:inm:oropre:v:42:y:1994:i:6:p:1171-1174
    DOI: 10.1287/opre.42.6.1171
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    Citations

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    Cited by:

    1. Byung-Cheon Choi & Myoung-Ju Park, 2015. "A Batch Scheduling Problem with Two Agents," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-19, December.
    2. Liaee, Mohammad Mehdi & Emmons, Hamilton, 1997. "Scheduling families of jobs with setup times," International Journal of Production Economics, Elsevier, vol. 51(3), pages 165-176, September.
    3. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    4. Dunstall, Simon & Wirth, Andrew, 2005. "A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines," European Journal of Operational Research, Elsevier, vol. 167(2), pages 283-296, December.
    5. Zhi-Long Chen, 1997. "Scheduling with batch setup times and earliness-tardiness penalties," European Journal of Operational Research, Elsevier, vol. 96(3), pages 518-537, February.
    6. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.

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