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Rolling‐horizon replenishment: Policies and performance analysis

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  • Zhaotong Lian
  • Liming Liu
  • Stuart X. Zhu

Abstract

We consider a rolling‐horizon (RH) replenishment modeling framework under which a buyer can update demand information and inventory status, modify order quantities committed previously, place an advanced order for a new period at the end of the RH, and move along in time seamlessly. We show that the optimal order policy for the two‐period RH problem is a dual‐threshold type for updating period(s) plus a base‐stock type for the advanced order. We provide analytical formulas and algorithms to compute the optimal thresholds and the optimal base‐stock level exactly. With our analytical results and numerical procedures, we demonstrate the significant value of RH replenishment in matching supplies to demands more closely. We also show that with RH updating (flexibility), the value of additional demand information beyond the RH diminishes quickly. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010

Suggested Citation

  • Zhaotong Lian & Liming Liu & Stuart X. Zhu, 2010. "Rolling‐horizon replenishment: Policies and performance analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 489-502, September.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:6:p:489-502
    DOI: 10.1002/nav.20416
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    1. William S. Lovejoy, 1990. "Myopic Policies for Some Inventory Models with Uncertain Demand Distributions," Management Science, INFORMS, vol. 36(6), pages 724-738, June.
    2. Mordechai Henig & Yigal Gerchak & Ricardo Ernst & David F. Pyke, 1997. "An Inventory Model Embedded in Designing a Supply Contract," Management Science, INFORMS, vol. 43(2), pages 184-189, February.
    3. Gary D. Eppen & Ananth. V. Iyer, 1997. "Improved Fashion Buying with Bayesian Updates," Operations Research, INFORMS, vol. 45(6), pages 805-819, December.
    4. G. D. Johnson & H. E. Thompson, 1975. "Optimality of Myopic Inventory Policies for Certain Dependent Demand Processes," Management Science, INFORMS, vol. 21(11), pages 1303-1307, July.
    5. Yoichiro Fukuda, 1964. "Optimal Policies for the Inventory Problem with Negotiable Leadtime," Management Science, INFORMS, vol. 10(4), pages 690-708, July.
    6. A. A. Tsay & W. S. Lovejoy, 1999. "Quantity Flexibility Contracts and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 89-111.
    7. Paul Kleindorfer & Howard Kunreuther, 1978. "Stochastic Horizons for the Aggregate Planning Problem," Management Science, INFORMS, vol. 24(5), pages 485-497, January.
    8. Senthil Veeraraghavan & Alan Scheller-Wolf, 2008. "Now or Later: A Simple Policy for Effective Dual Sourcing in Capacitated Systems," Operations Research, INFORMS, vol. 56(4), pages 850-864, August.
    9. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    10. Torpong Cheevaprawatdomrong & Robert L. Smith, 2004. "Infinite Horizon Production Scheduling in Time-Varying Systems Under Stochastic Demand," Operations Research, INFORMS, vol. 52(1), pages 105-115, February.
    11. Dawn Barnes-Schuster & Yehuda Bassok & Ravi Anupindi, 2002. "Coordination and Flexibility in Supply Contracts with Options," Manufacturing & Service Operations Management, INFORMS, vol. 4(3), pages 171-207, May.
    12. Thomas E. Morton, 1978. "The Nonstationary Infinite Horizon Inventory Problem," Management Science, INFORMS, vol. 24(14), pages 1474-1482, October.
    13. Terry A. Taylor, 2001. "Channel Coordination Under Price Protection, Midlife Returns, and End-of-Life Returns in Dynamic Markets," Management Science, INFORMS, vol. 47(9), pages 1220-1234, September.
    14. James C. Bean & Robert L. Smith, 1984. "Conditions for the Existence of Planning Horizons," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 391-401, August.
    15. Stephen C. Graves, 1999. "A Single-Item Inventory Model for a Nonstationary Demand Process," Manufacturing & Service Operations Management, INFORMS, vol. 1(1), pages 50-61.
    16. Aharon Ben-Tal & Boaz Golany & Arkadi Nemirovski & Jean-Philippe Vial, 2005. "Retailer-Supplier Flexible Commitments Contracts: A Robust Optimization Approach," Manufacturing & Service Operations Management, INFORMS, vol. 7(3), pages 248-271, February.
    17. Kenneth R. Baker & David W. Peterson, 1979. "An Analytic Framework for Evaluating Rolling Schedules," Management Science, INFORMS, vol. 25(4), pages 341-351, April.
    18. Xiangwen Lu & Jing-Sheng Song & Amelia Regan, 2006. "Inventory Planning with Forecast Updates: Approximate Solutions and Cost Error Bounds," Operations Research, INFORMS, vol. 54(6), pages 1079-1097, December.
    19. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    20. Stephen C. Graves, 1999. "Addendum to "A Single-Item Inventory Model for a Nonstationary Demand Process"," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 174-174.
    21. Tetsuo Iida & Paul H. Zipkin, 2006. "Approximate Solutions of a Dynamic Forecast-Inventory Model," Manufacturing & Service Operations Management, INFORMS, vol. 8(4), pages 407-425, October.
    22. Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2005. "Inventory and Supply Chain Management with Forecast Updates," International Series in Operations Research and Management Science, Springer, number 978-0-387-25663-4, April.
    23. Lian, Zhaotong & Deshmukh, Abhijit, 2009. "Analysis of supply contracts with quantity flexibility," European Journal of Operational Research, Elsevier, vol. 196(2), pages 526-533, July.
    24. Qi Feng & Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2006. "Are Base-Stock Policies Optimal in Inventory Problems with Multiple Delivery Modes?," Operations Research, INFORMS, vol. 54(4), pages 801-807, August.
    25. Ananth. V. Iyer & Mark E. Bergen, 1997. "Quick Response in Manufacturer-Retailer Channels," Management Science, INFORMS, vol. 43(4), pages 559-570, April.
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