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Single machine scheduling with job delivery to multiple customers

Author

Listed:
  • Jianming Dong

    (Zhejiang Sci-Tech University)

  • Xueshi Wang

    (Zhejiang Sci-Tech University)

  • Jueliang Hu

    (Zhejiang Sci-Tech University)

  • Guohui Lin

    (Zhejiang Sci-Tech University
    University of Alberta)

Abstract

We investigate a single machine scheduling problem with job delivery to multiple customers. In this problem, each job needs to be processed on the single machine, and then delivered by a single vehicle to its customer, where the job has a physical size representing the fraction of space it occupies on the vehicle. The vehicle delivers a shipment from the machine to a customer and has to return back to the machine for delivering the next shipment. It takes different constant time for the round trips between the machine and the different customers. The goal is to minimize the makespan, by that time all the jobs are processed and delivered to their respective customers, and the vehicle returns back to the machine. We propose a 2-approximation algorithm for the general case; when there are only two customers, we present an improved 5/3-approximation algorithm. The design and performance analysis of these two algorithms integrate several known results and techniques for the single machine scheduling problem, the bin-packing problem, and the knapsack problem.

Suggested Citation

  • Jianming Dong & Xueshi Wang & Jueliang Hu & Guohui Lin, 2018. "Single machine scheduling with job delivery to multiple customers," Journal of Scheduling, Springer, vol. 21(3), pages 337-348, June.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:3:d:10.1007_s10951-017-0508-2
    DOI: 10.1007/s10951-017-0508-2
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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. Jinjiang Yuan & Lei Shi & Jinwen Ou, 2008. "Single Machine Scheduling With Forbidden Intervals And Job Delivery Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 317-325.
    3. Lingfa Lu & Jinjiang Yuan, 2008. "Single Machine Scheduling With Job Delivery To Minimize Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 1-10.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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