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Minimizing total weighted completion and batch delivery times with machine deterioration and learning effect: a case study from wax production

Author

Listed:
  • Mohammad Rostami

    (University of Science and Technology (IUST))

  • Shiva Nikravesh

    (Islamic Azad University)

  • Mahdi Shahin

    (University of Science and Technology (IUST))

Abstract

This paper investigates an integrated scheduling of production and distribution activities in the supply chain where both machine deterioration and learning effects have been consequently addressed. Manufacturer aims to minimize the total weighted completion time, while a distributor focuses on reducing shipping times with batch delivery by using capacitated vehicles. The aim of this problem is to minimize the sum of weighted completion times plus total delivery times. First, a mixed integer linear programming model is proposed. Then for a special case, a branch and bound algorithm is developed with utilizing the structural features of the problem. In order to solve large-scale instances of the general problem in a short/reasonable time, a simulated annealing algorithm is provided. Computational results show that the proposed heuristic techniques have high efficiency to achieve the optimal solution, and that they are useful to solve large sizes of the problems at a short time. Finally, by providing a real-life case of wax manufacturing and its distribution system, it is shown that the application of integrated decisions can significantly reduce costs imposed on the firms.

Suggested Citation

  • Mohammad Rostami & Shiva Nikravesh & Mahdi Shahin, 2020. "Minimizing total weighted completion and batch delivery times with machine deterioration and learning effect: a case study from wax production," Operational Research, Springer, vol. 20(3), pages 1255-1287, September.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:3:d:10.1007_s12351-018-0373-6
    DOI: 10.1007/s12351-018-0373-6
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    References listed on IDEAS

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    1. Yin, Yunqiang & Cheng, T.C.E. & Hsu, Chou-Jung & Wu, Chin-Chia, 2013. "Single-machine batch delivery scheduling with an assignable common due window," Omega, Elsevier, vol. 41(2), pages 216-225.
    2. 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.
    3. Wang, Xiuli & Edwin Cheng, T.C., 2007. "Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 178(1), pages 57-70, April.
    4. Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
    5. Mazdeh, Mohammad Mahdavi & Sarhadi, Mansoor & Hindi, Khalil S., 2007. "A branch-and-bound algorithm for single-machine scheduling with batch delivery minimizing flow times and delivery costs," European Journal of Operational Research, Elsevier, vol. 183(1), pages 74-86, November.
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    Cited by:

    1. Mohammad Rostami & Milad Mohammadi, 2024. "Two-machine decentralized flow shop scheduling problem with inter-factory batch delivery system," Operational Research, Springer, vol. 24(3), pages 1-37, September.
    2. Zhe Zhang & Xiaoling Song & Huijun Huang & Yong Yin & Benjamin Lev, 2022. "Scheduling problem in seru production system considering DeJong’s learning effect and job splitting," Annals of Operations Research, Springer, vol. 312(2), pages 1119-1141, May.

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