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A Dynamic Model for Inventory Lot Sizing and Outbound Shipment Scheduling at a Third-Party Warehouse

Author

Listed:
  • Chung-Yee Lee

    (Department of Industrial Engineering & Engineering Management, The Hong Kong University of Science and Technology, Hong Kong)

  • Sila Çetinkaya

    (Department of Industrial Engineering, Texas A&M University, College Station, Texas 77843-3131)

  • Wikrom Jaruphongsa

    (Department of Industrial and Systems Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore)

Abstract

This paper presents a model for computing the parameters of an integrated inventory replenishment and outbound dispatch scheduling policy under dynamic demand considerations. The optimal policy parameters specify (i) how often and in what quantities to replenish the stock at an upstream supply chain member (e.g., a warehouse), and (ii) how often to release an outbound shipment to a downstream supply-chain member (e.g., a distribution center). The problem is represented using a two-echelon dynamic lot-sizing model with pre-shipping and late-shipping considerations, where outbound cargo capacity constraints are considered via a stepwise cargo cost function. Although the paper is motivated by a third-party warehousing application, the underlying model is applicable in the general context of coordinating inventory and outbound transportation decisions. The problem is challenging due to the stepwise cargo cost structure modeled. The paper presents several structural properties of the problem and develops a polynomial time algorithm for computing the optimal solution.

Suggested Citation

  • Chung-Yee Lee & Sila Çetinkaya & Wikrom Jaruphongsa, 2003. "A Dynamic Model for Inventory Lot Sizing and Outbound Shipment Scheduling at a Third-Party Warehouse," Operations Research, INFORMS, vol. 51(5), pages 735-747, October.
    • Handle: RePEc:inm:oropre:v:51:y:2003:i:5:p:735-747
    DOI: 10.1287/opre.51.5.735.16752
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    References listed on IDEAS

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    1. Douglas A. Popken, 1994. "An Algorithm for the Multiattribute, Multicommodity Flow Problem with Freight Consolidation and Inventory Costs," Operations Research, INFORMS, vol. 42(2), pages 274-286, April.
    2. Osman Alp & Nesim K. Erkip & Refik Güllü, 2003. "Optimal Lot-Sizing/Vehicle-Dispatching Policies Under Stochastic Lead Times and Stepwise Fixed Costs," Operations Research, INFORMS, vol. 51(1), pages 160-166, February.
    3. Van Eijs, M. J. G., 1994. "Multi-item inventory systems with joint ordering and transportation decisions," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 285-292, June.
    4. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    5. Albert Wagelmans & Stan van Hoesel & Antoon Kolen, 1992. "Economic Lot Sizing: An O(n log n) Algorithm That Runs in Linear Time in the Wagner-Whitin Case," Operations Research, INFORMS, vol. 40(1-supplem), pages 145-156, February.
    6. Candace A. Yano & Alexandra M. Newman, 2001. "Scheduling Trains and Containers with Due Dates and Dynamic Arrivals," Transportation Science, INFORMS, vol. 35(2), pages 181-191, May.
    7. Juho Hahm & Candace Arai Yano, 1995. "The Economic Lot and Delivery Scheduling Problem: Powers of Two Policies," Transportation Science, INFORMS, vol. 29(3), pages 222-241, August.
    8. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    9. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    10. Sila Çetinkaya & Chung-Yee Lee, 2000. "Stock Replenishment and Shipment Scheduling for Vendor-Managed Inventory Systems," Management Science, INFORMS, vol. 46(2), pages 217-232, February.
    11. Hahm, Juho & Yano, Candace Arai, 1992. "The economic lot and delivery scheduling problem: The single item case," International Journal of Production Economics, Elsevier, vol. 28(2), pages 235-252, November.
    12. Willard I. Zangwill, 1969. "A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System--A Network Approach," Management Science, INFORMS, vol. 15(9), pages 506-527, May.
    13. Warren B. Powell, 1985. "Analysis of Vehicle Holding and Cancellation Strategies in Bulk Arrival, Bulk Service Queues," Transportation Science, INFORMS, vol. 19(4), pages 352-377, November.
    14. Alok Aggarwal & James K. Park, 1993. "Improved Algorithms for Economic Lot Size Problems," Operations Research, INFORMS, vol. 41(3), pages 549-571, June.
    15. Daganzo, Carlos F., 1988. "Shipment composition enhancement at a consolidation center," Transportation Research Part B: Methodological, Elsevier, vol. 22(2), pages 103-124, April.
    16. Gabriel R. Bitran & Thomas L. Magnanti & Horacio H. Yanasse, 1984. "Approximation Methods for the Uncapacitated Dynamic Lot Size Problem," Management Science, INFORMS, vol. 30(9), pages 1121-1140, September.
    17. Bruce C. Arntzen & Gerald G. Brown & Terry P. Harrison & Linda L. Trafton, 1995. "Global Supply Chain Management at Digital Equipment Corporation," Interfaces, INFORMS, vol. 25(1), pages 69-93, February.
    18. Chung-Yee Lee & Eric V. Denardo, 1986. "Rolling Planning Horizons: Error Bounds for the Dynamic Lot Size Model," Mathematics of Operations Research, INFORMS, vol. 11(3), pages 423-432, August.
    19. M. Florian & J. K. Lenstra & A. H. G. Rinnooy Kan, 1980. "Deterministic Production Planning: Algorithms and Complexity," Management Science, INFORMS, vol. 26(7), pages 669-679, July.
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