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Optimal Admission Control and Sequencing in a Make-to-Stock/Make-to-Order Production System

Author

Listed:
  • Scott Carr

    (Anderson Graduate School of Management, University of California at Los Angeles, Los Angeles, California)

  • Izak Duenyas

    (University of Michigan, School of Business, Ann Arbor, Michigan 48109)

Abstract

In this paper, we address the problem of admission control and sequencing in a production system that produces two classes of products. The first class of products is made-to-stock, and the firm is contractually obliged to meet demand for this class of products. The second class of products is made-to-order, and the firm has the option to accept (admit) or reject a particular order. The problem is motivated by suppliers in many industries who sign contracts with large manufacturers to supply them with a given product and also can take on additional orders from other sources on a make-to-order basis.We model the joint admission control/sequencing decision in the context of a simple two-class M / M /1 queue to gain insight into the following problems: 1. How should a firm decide (a) when to accept or reject an additional order, and (b) which type of product to produce next? 2. How should a firm decide what annual quantity of orders to commit to when signing a contract to produce the make-to-stock products?

Suggested Citation

  • Scott Carr & Izak Duenyas, 2000. "Optimal Admission Control and Sequencing in a Make-to-Stock/Make-to-Order Production System," Operations Research, INFORMS, vol. 48(5), pages 709-720, October.
    • Handle: RePEc:inm:oropre:v:48:y:2000:i:5:p:709-720
    DOI: 10.1287/opre.48.5.709.12401
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    References listed on IDEAS

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    1. Guillermo Gallego, 1990. "Scheduling the Production of Several Items with Random Demands in a Single Facility," Management Science, INFORMS, vol. 36(12), pages 1579-1592, December.
    2. Viên Nguyen, 1995. "Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 321-354, May.
    3. Albert Y. Ha, 1997. "Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales," Management Science, INFORMS, vol. 43(8), pages 1093-1103, August.
    4. Awi Federgruen & Ziv Katalan, 1996. "The Stochastic Economic Lot Scheduling Problem: Cyclical Base-Stock Policies with Idle Times," Management Science, INFORMS, vol. 42(6), pages 783-796, June.
    5. Albert Y. Ha, 1997. "Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System," Operations Research, INFORMS, vol. 45(1), pages 42-53, February.
    6. Izak Duenyas & Wallace J. Hopp & Yehuda Bassok, 1997. "Production Quotas as Bounds on Interplant JIT Contracts," Management Science, INFORMS, vol. 43(10), pages 1372-1386, October.
    7. Izak Duenyas, 1995. "Single Facility Due Date Setting with Multiple Customer Classes," Management Science, INFORMS, vol. 41(4), pages 608-619, April.
    8. Albert Y. Ha, 1997. "Stock‐rationing policy for a make‐to‐stock production system with two priority classes and backordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(5), pages 457-472, August.
    9. Lode Li, 1992. "The Role of Inventory in Delivery-Time Competition," Management Science, INFORMS, vol. 38(2), pages 182-197, February.
    10. Izak Duenyas & Mark P. Van Oyen, 1996. "Heuristic Scheduling of Parallel Heterogeneous Queues with Set-Ups," Management Science, INFORMS, vol. 42(6), pages 814-829, June.
    11. Paul Glasserman & David D. Yao, 1994. "Monotone Optimal Control of Permutable GSMPs," Mathematics of Operations Research, INFORMS, vol. 19(2), pages 449-476, May.
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