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Scheduling and due date assignment to minimize earliness, tardiness, holding, due date assignment and batch delivery costs

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  • Shabtay, Dvir

Abstract

We study a batch delivery single machine scheduling problem where the due dates are controllable and the objective is to minimize earliness, tardiness, holding, due date assignment and delivery costs. The earliness, tardiness and holding cost are assumed to be proportional to the corresponding duration. For each customer order (job) there is a specific acceptable lead time that the customer who placed the order considers to be reasonable and acceptable and therefore there is no penalty by assigning a due date not greater than the acceptable lead time. If the due date is greater than the acceptable date then the due date cost is proportional to the deviation from the acceptable lead time. The batch delivery cost is fixed and there is no capacity limitation on the size of a batch. We provide some properties of the optimal schedule, and prove that the problem is -hard. A polynomial time optimization algorithm is presented for two special cases. The first is the case of equal processing times and the second is the case where the acceptable lead times are all equal to zero and the holding penalty is less than the tardiness or due date assignment penalty.

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  • Shabtay, Dvir, 2010. "Scheduling and due date assignment to minimize earliness, tardiness, holding, due date assignment and batch delivery costs," International Journal of Production Economics, Elsevier, vol. 123(1), pages 235-242, January.
    • Handle: RePEc:eee:proeco:v:123:y:2010:i:1:p:235-242
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    References listed on IDEAS

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    4. Biskup, Dirk & Jahnke, Hermann, 2001. "Common due date assignment for scheduling on a single machine with jointly reducible processing times," International Journal of Production Economics, Elsevier, vol. 69(3), pages 317-322, February.
    5. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
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    Cited by:

    1. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Group scheduling and due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 130(2), pages 230-235, April.
    2. Sang, Yao-Wen & Wang, Jun-Qiang & Sterna, Małgorzata & Błażewicz, Jacek, 2023. "Single machine scheduling with due date assignment to minimize the total weighted lead time penalty and late work," Omega, Elsevier, vol. 121(C).
    3. Janiak, Adam & Krysiak, Tomasz, 2012. "Scheduling jobs with values dependent on their completion times," International Journal of Production Economics, Elsevier, vol. 135(1), pages 231-241.
    4. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Scheduling deteriorating jobs with CON/SLK due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 131(2), pages 747-751, June.
    5. 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.
    6. Yunqiang Yin & Doudou Li & Dujuan Wang & T. C. E. Cheng, 2021. "Single-machine serial-batch delivery scheduling with two competing agents and due date assignment," Annals of Operations Research, Springer, vol. 298(1), pages 497-523, March.
    7. Su, Ling-Huey & Tien, Yi-Yu, 2011. "Minimizing mean absolute deviation of completion time about a common due window subject to maximum tardiness for a single machine," International Journal of Production Economics, Elsevier, vol. 134(1), pages 196-203, November.
    8. 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.
    9. Xingong, Zhang & Yong, Wang, 2015. "Single-machine scheduling CON/SLK due window assignment problems with sum-of-processed times based learning effect," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 628-635.
    10. Yu-Cheng Wang & Horng-Ren Tsai & Toly Chen, 2021. "A Selectively Fuzzified Back Propagation Network Approach for Precisely Estimating the Cycle Time Range in Wafer Fabrication," Mathematics, MDPI, vol. 9(12), pages 1-18, June.
    11. Vinod, V. & Sridharan, R., 2011. "Simulation modeling and analysis of due-date assignment methods and scheduling decision rules in a dynamic job shop production system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 127-146, January.
    12. Yunqiang Yin & Yongjian Yang & Dujuan Wang & T.C.E. Cheng & Chin‐Chia Wu, 2018. "Integrated production, inventory, and batch delivery scheduling with due date assignment and two competing agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 393-409, August.

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