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Coordinated scheduling on parallel machines with batch delivery

Author

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  • Wan, Long
  • Zhang, An

Abstract

This paper considers coordinated scheduling on parallel identical machines with batch delivery. Jobs are first processed on m parallel and identical machines in the manufacturing facility and then delivered to the customer in batches. There are v identical transporters that can carry up to c jobs in one shipment. The objective is to minimize the sum of job arrival times. We show that the problem is NP-hard in the strong sense if m is part of the input. Besides, we propose the first approximation algorithm for the problem and prove that the worst case ratio of the algorithm is 2−1/m for any m.

Suggested Citation

  • Wan, Long & Zhang, An, 2014. "Coordinated scheduling on parallel machines with batch delivery," International Journal of Production Economics, Elsevier, vol. 150(C), pages 199-203.
    • Handle: RePEc:eee:proeco:v:150:y:2014:i:c:p:199-203
    DOI: 10.1016/j.ijpe.2014.01.009
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    References listed on IDEAS

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    1. Zhong, Weiya & Dosa, Gyorgy & Tan, Zhiyi, 2007. "On the machine scheduling problem with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1057-1072, November.
    2. Wang, Guoqing & Cheng, T. C. Edwin, 2000. "Parallel machine scheduling with batch delivery costs," International Journal of Production Economics, Elsevier, vol. 68(2), pages 177-183, November.
    3. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    4. Chen, Zhi-Long, 1996. "Scheduling and common due date assignment with earliness-tardiness penalties and batch delivery costs," European Journal of Operational Research, Elsevier, vol. 93(1), pages 49-60, August.
    5. Ji, Min & He, Yong & Cheng, T.C.E., 2007. "Batch delivery scheduling with batch delivery cost on a single machine," European Journal of Operational Research, Elsevier, vol. 176(2), pages 745-755, January.
    6. Nicholas Hall & Chris Potts, 2005. "The Coordination of Scheduling and Batch Deliveries," Annals of Operations Research, Springer, vol. 135(1), pages 41-64, March.
    7. Selvarajah, Esaignani & Zhang, Rui, 2014. "Supply chain scheduling at the manufacturer to minimize inventory holding and delivery costs," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 117-124.
    8. Yuan, Jinjiang, 1996. "A note on the complexity of single-machine scheduling with a common due date, earliness-tardiness, and batch delivery costs," European Journal of Operational Research, Elsevier, vol. 94(1), pages 203-205, October.
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    Citations

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    Cited by:

    1. Liu, Peihai & Lu, Xiwen, 2016. "Integrated production and job delivery scheduling with an availability constraint," International Journal of Production Economics, Elsevier, vol. 176(C), pages 1-6.
    2. Cheng, Shuenn-Ren, 2014. "Some new problems on two-agent scheduling to minimize the earliness costs," International Journal of Production Economics, Elsevier, vol. 156(C), pages 24-30.
    3. Zhong, Xueling & Fan, Jie & Ou, Jinwen, 2022. "Coordinated scheduling of the outsourcing, in-house production and distribution operations," European Journal of Operational Research, Elsevier, vol. 302(2), pages 427-437.
    4. Hua Gong & Lixin Tang & Joseph Y.T. Leung, 2016. "Parallel machine scheduling with batch deliveries to minimize total flow time and delivery cost," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(6), pages 492-502, September.
    5. Marcello Urgo & Massimo Manzini, 2024. "An upper bound for the inter-exit time of two jobs in an m-machine flow shop," Annals of Operations Research, Springer, vol. 338(1), pages 379-405, July.

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