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The Weighted Total Tardiness Problem with Fixed Shipping Times and Overtime Utilization

Author

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  • Hirofumi Matsuo

    (The University of Texas at Austin, Austin, Texas)

Abstract

This paper addresses the problem of simultaneously determining overtime utilization and job sequencing over a finite planning horizon in a single machine job shop environment. Shipping times are assumed to occur at fixed and specified points in time, and their number is much smaller than the number of jobs. The goal is to find an overtime utilization level and job sequence that yields a “good” tradeoff between overtime cost and tardiness penalties. We begin by showing that the problem in its simplest form is NP-hard. We then present an approximate algorithm based on a capacitated transshipment formulation. This approximation provides a feasible solution along with its error bound. The algorithm is refined by incorporating the dominance relations of jobs. Extensive computational experience indicates that the algorithm is implementable in terms of both speed and accuracy.

Suggested Citation

  • Hirofumi Matsuo, 1988. "The Weighted Total Tardiness Problem with Fixed Shipping Times and Overtime Utilization," Operations Research, INFORMS, vol. 36(2), pages 293-307, April.
    • Handle: RePEc:inm:oropre:v:36:y:1988:i:2:p:293-307
    DOI: 10.1287/opre.36.2.293
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    Citations

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    Cited by:

    1. Andreas C. Nearchou, 2018. "Multicriteria scheduling optimization using an elitist multiobjective population heuristic: the h-NSDE algorithm," Journal of Heuristics, Springer, vol. 24(6), pages 817-851, December.
    2. Chen, Bo & Lee, Chung-Yee, 2008. "Logistics scheduling with batching and transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 871-876, September.
    3. Nicholas G. Hall & 'Maseka Lesaoana & Chris N. Potts, 2001. "Scheduling with Fixed Delivery Dates," Operations Research, INFORMS, vol. 49(1), pages 134-144, February.
    4. Feng Li & Zhi-Long Chen & Zhi-Long Chen, 2017. "Integrated Production, Inventory and Delivery Problems: Complexity and Algorithms," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 232-250, May.
    5. Haiyan Wang & Chung‐Yee Lee, 2005. "Production and transport logistics scheduling with two transport mode choices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 796-809, December.
    6. Ullrich, Christian A., 2013. "Integrated machine scheduling and vehicle routing with time windows," European Journal of Operational Research, Elsevier, vol. 227(1), pages 152-165.
    7. Chhajed, Dilip, 1995. "A fixed interval due-date scheduling problem with earliness and due-date costs," European Journal of Operational Research, Elsevier, vol. 84(2), pages 385-401, July.
    8. Han, Dongya & Yang, Yongjian & Wang, Dujuan & Cheng, T.C.E. & Yin, Yunqiang, 2019. "Integrated production, inventory, and outbound distribution operations with fixed departure times in a three-stage supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 334-347.
    9. Bachtenkirch, David & Bock, Stefan, 2022. "Finding efficient make-to-order production and batch delivery schedules," European Journal of Operational Research, Elsevier, vol. 297(1), pages 133-152.

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