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Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming

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  • Navid Mortezaei
  • Norzima Zulkifli

Abstract

We will develop a mathematical model for the integration of lot sizing and flow shop scheduling with lot streaming. We will develop a mixed‐integer linear model for multiple products lot sizing and lot streaming problems. Mixed‐integer programming formulation is presented which will enable the user to find optimal production quantities, optimal inventory levels, optimal sublot sizes, and optimal sequence simultaneously. We will use numerical example to show practicality of the proposed model. We test eight different lot streaming problems: (1) consistent sublots with intermingling, (2) consistent sublots and no intermingling between sublots of the products (without intermingling), (3) equal sublots with intermingling, (4) equal sublots without intermingling, (5) no‐wait consistent sublots with intermingling, (6) no‐wait equal sublots with intermingling, (7) no‐wait consistent sublots without intermingling, and (8) no‐wait equal sublots without intermingling. We showed that the best makespan can be achieved through the consistent sublots with intermingling case.

Suggested Citation

  • Navid Mortezaei & Norzima Zulkifli, 2013. "Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:216595
    DOI: 10.1155/2013/216595
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    References listed on IDEAS

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    1. Peter Brucker & Yu Sotskov & Frank Werner, 2007. "Complexity of shop-scheduling problems with fixed number of jobs: a survey," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 461-481, June.
    2. C. T. Ng & Natalja M. Matsveichuk & Yuri N. Sotskov & T. C. Edwin Cheng, 2009. "Two-Machine Flow-Shop Minimum-Length Scheduling With Interval Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 715-734.
    3. Dan Trietsch & Kenneth R. Baker, 1993. "Basic Techniques for Lot Streaming," Operations Research, INFORMS, vol. 41(6), pages 1065-1076, December.
    4. Kalir, Adar A. & Sarin, Subhash C., 2000. "Evaluation of the potential benefits of lot streaming in flow-shop systems," International Journal of Production Economics, Elsevier, vol. 66(2), pages 131-142, June.
    5. Riane, F. & Artiba, A. & Iassinovski, S., 2001. "An integrated production planning and scheduling system for hybrid flowshop organizations," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 33-48, December.
    6. D Biskup & M Feldmann, 2006. "Lot streaming with variable sublots: an integer programming formulation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(3), pages 296-303, March.
    7. Zhang, Wei & Yin, Changyu & Liu, Jiyin & Linn, Richard J., 2005. "Multi-job lot streaming to minimize the mean completion time in m-1 hybrid flowshops," International Journal of Production Economics, Elsevier, vol. 96(2), pages 189-200, May.
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