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Coordinated scheduling of customer orders for quick response

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  • Reza Ahmadi
  • Uttarayan Bagchi
  • Thomas A. Roemer

Abstract

The scheduling problem addressed in this paper concerns a manufacturer who produces a variety of product types and operates in a make‐to‐order environment. Each customer order consists of known quantities of the different product types, and must be delivered as a single shipment. Periodically the manufacturer schedules the accumulated and unscheduled customer orders. Instances of this problem occur across industries in manufacturing as well as in service environments. In this paper we show that the problem of minimizing the weighted sum of customer order delivery times is unary NP‐hard. We characterize the optimal schedule, solve several special cases of the problem, derive tight lower bounds, and propose several heuristic solutions. We report the results of a set of computational experiments to evaluate the lower bounding procedures and the heuristics, and to determine optimal solutions. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • Reza Ahmadi & Uttarayan Bagchi & Thomas A. Roemer, 2005. "Coordinated scheduling of customer orders for quick response," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 493-512, September.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:6:p:493-512
    DOI: 10.1002/nav.20092
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    References listed on IDEAS

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    Cited by:

    1. T.C. Edwin Cheng & Qingqin Nong & Chi To Ng, 2011. "Polynomial‐time approximation scheme for concurrent open shop scheduling with a fixed number of machines to minimize the total weighted completion time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(8), pages 763-770, December.
    2. Fernandez-Viagas, Victor & Talens, Carla & Framinan, Jose M., 2022. "Assembly flowshop scheduling problem: Speed-up procedure and computational evaluation," European Journal of Operational Research, Elsevier, vol. 299(3), pages 869-882.
    3. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    4. Lung-Yu Li & Jian-You Xu & Shuenn-Ren Cheng & Xingong Zhang & Win-Chin Lin & Jia-Cheng Lin & Zong-Lin Wu & Chin-Chia Wu, 2022. "A Genetic Hyper-Heuristic for an Order Scheduling Problem with Two Scenario-Dependent Parameters in a Parallel-Machine Environment," Mathematics, MDPI, vol. 10(21), pages 1-22, November.
    5. Jian Chen & Meilin Wang & Xiang T. R. Kong & George Q. Huang & Qinyun Dai & Guoqiang Shi, 2019. "Manufacturing synchronization in a hybrid flowshop with dynamic order arrivals," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2659-2668, October.
    6. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.

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