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Dynamic capacity reservation and due date quoting in a make‐to‐order system

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  • Richard Pibernik
  • Prashant Yadav

Abstract

We consider a make‐to‐order manufacturer facing random demand from two classes of customers. We develop an integrated model for reserving capacity in anticipation of future order arrivals from high priority customers and setting due dates for incoming orders. Our research exhibits two distinct features: (1) we explicitly model the manufacturer's uncertainty about the customers' due date preferences for future orders; and (2) we utilize a service level measure for reserving capacity rather than estimating short and long term implications of due date quoting with a penalty cost function. We identify an interesting effect (“t‐pooling”) that arises when the (partial) knowledge of customer due date preferences is utilized in making capacity reservation and order allocation decisions. We characterize the relationship between the customer due date preferences and the required reservation quantities and show that not considering the t‐pooling effect (as done in traditional capacity and inventory rationing literature) leads to excessive capacity reservations. Numerical analyses are conducted to investigate the behavior and performance of our capacity reservation and due date quoting approach in a dynamic setting with multiple planning horizons and roll‐overs. One interesting and seemingly counterintuitive finding of our analyses is that under certain conditions reserving capacity for high priority customers not only improves high priority fulfillment, but also increases the overall system fill rate. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Richard Pibernik & Prashant Yadav, 2008. "Dynamic capacity reservation and due date quoting in a make‐to‐order system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 593-611, October.
  • Handle: RePEc:wly:navres:v:55:y:2008:i:7:p:593-611
    DOI: 10.1002/nav.20304
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    References listed on IDEAS

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    1. Barut, M. & Sridharan, V, 2004. "Design and evaluation of a dynamic capacity apportionment procedure," European Journal of Operational Research, Elsevier, vol. 155(1), pages 112-133, May.
    2. Izak Duenyas & Wallace J. Hopp, 1995. "Quoting Customer Lead Times," Management Science, INFORMS, vol. 41(1), pages 43-57, January.
    3. Donald M. Topkis, 1968. "Optimal Ordering and Rationing Policies in a Nonstationary Dynamic Inventory Model with n Demand Classes," Management Science, INFORMS, vol. 15(3), pages 160-176, November.
    4. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "A Threshold Inventory Rationing Policy for Service-Differentiated Demand Classes," Management Science, INFORMS, vol. 49(6), pages 683-703, June.
    5. Roman Kapuscinski & Sridhar Tayur, 2007. "Reliable Due-Date Setting in a Capacitated MTO System with Two Customer Classes," Operations Research, INFORMS, vol. 55(1), pages 56-74, February.
    6. Steven Nahmias & W. Steven Demmy, 1981. "Operating Characteristics of an Inventory System with Rationing," Management Science, INFORMS, vol. 27(11), pages 1236-1245, November.
    7. Richard V. Evans, 1968. "Sales and Restocking Policies in a Single Item Inventory System," Management Science, INFORMS, vol. 14(7), pages 463-472, March.
    8. Arthur F. Veinott, 1965. "Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes," Operations Research, INFORMS, vol. 13(5), pages 761-778, October.
    9. Saif Benjaafar & Mohsen ElHafsi & Francis de Véricourt, 2004. "Demand Allocation in Multiple-Product, Multiple-Facility, Make-to-Stock Systems," Management Science, INFORMS, vol. 50(10), pages 1431-1448, October.
    10. Rema Hariharan & Paul Zipkin, 1995. "Customer-Order Information, Leadtimes, and Inventories," Management Science, INFORMS, vol. 41(10), pages 1599-1607, October.
    11. Mark L. Spearman & Rachel Q. Zhang, 1999. "Optimal Lead Time Policies," Management Science, INFORMS, vol. 45(2), pages 290-295, February.
    12. Francis de Véricourt & Fikri Karaesmen & Yves Dallery, 2002. "Optimal Stock Allocation for a Capacitated Supply System," Management Science, INFORMS, vol. 48(11), pages 1486-1501, November.
    13. Katia C. Frank & Rachel Q. Zhang & Izak Duenyas, 2003. "Optimal Policies for Inventory Systems with Priority Demand Classes," Operations Research, INFORMS, vol. 51(6), pages 993-1002, December.
    14. Izak Duenyas, 1995. "Single Facility Due Date Setting with Multiple Customer Classes," Management Science, INFORMS, vol. 41(4), pages 608-619, April.
    15. 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.
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