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Single Supplier Scheduling for Multiple Deliveries

Author

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  • T.C. Cheng
  • Mikhail Kovalyov

Abstract

The problem of scheduling the production and delivery of a supplier to feed the production of F manufacturers is studied. The orders fulfilled by the supplier are delivered to the manufacturers in batches of the same size. The supplier's production line has to be set up whenever it switches from processing an order of one manufacturer to an order of another manufacturer. The objective is to minimize the total setup cost, subject to maintaining continuous production for all manufacturers. The problem is proved to be NP-hard. It is reduced to a single machine scheduling problem with deadlines and jobs belonging to F part types. An O(Nlog F) algorithm, where N is the number of delivery batches, is presented to find a feasible schedule. A dynamic programming algorithm with O(N F /F F−2 ) running time is presented to find an optimal schedule. If F=2 and setup costs are unit, an O(N) time algorithm is derived. Copyright Kluwer Academic Publishers 2001

Suggested Citation

  • T.C. Cheng & Mikhail Kovalyov, 2001. "Single Supplier Scheduling for Multiple Deliveries," Annals of Operations Research, Springer, vol. 107(1), pages 51-63, October.
    • Handle: RePEc:spr:annopr:v:107:y:2001:i:1:p:51-63:10.1023/a:1014938712999
    DOI: 10.1023/A:1014938712999
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    Cited by:

    1. Yeung, Wing-Kwan & Choi, Tsan-Ming & Cheng, T.C.E., 2011. "Supply chain scheduling and coordination with dual delivery modes and inventory storage cost," International Journal of Production Economics, Elsevier, vol. 132(2), pages 223-229, August.
    2. Zhou, Feng & Blocher, James D. & Hu, Xinxin & Sebastian Heese, H., 2014. "Optimal single machine scheduling of products with components and changeover cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 75-83.
    3. Xiangtong Qi, 2005. "A logistics scheduling model: Inventory cost reduction by batching," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 312-320, June.
    4. Qi, Xiangtong, 2011. "Outsourcing and production scheduling for a two-stage flow shop," International Journal of Production Economics, Elsevier, vol. 129(1), pages 43-50, January.

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