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Capacitated Multi-Item Inventory Systems with Random and Seasonally Fluctuating Demands: Implications for Postponement Strategies

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Listed:
  • Yossi Aviv

    (Olin School of Business, Washington University, St. Louis, Missouri 63130)

  • Awi Federgruen

    (Columbia Graduate School of Business, New York, New York 10027)

Abstract

We address multi-item inventory systems with random and seasonally fluctuating, and possibly correlated, demands. The items are produced in two stages, each with its own lead-time; in the first stage a common intermediate product is manufactured. The production volumes in the first stage are bounded by given capacity limits. We develop an accurate lower bound and close-to-optimal heuristic strategies of simple structure. The gap between them, evaluated in an extensive numerical study, is on average only 0.45%. We use the model to investigate the benefits of various delayed product differentiation (postponement) strategies, as well as other strategic questions, including (i) the benefits of flexible versus dedicated production facilities; (ii) the trade-off between capacity and inventory investments; and (iii) the trade-off between capacity investments and service levels.

Suggested Citation

  • Yossi Aviv & Awi Federgruen, 2001. "Capacitated Multi-Item Inventory Systems with Random and Seasonally Fluctuating Demands: Implications for Postponement Strategies," Management Science, INFORMS, vol. 47(4), pages 512-531, April.
  • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:4:p:512-531
    DOI: 10.1287/mnsc.47.4.512.9829
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    References listed on IDEAS

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    1. Bennett Fox, 1966. "Discrete Optimization Via Marginal Analysis," Management Science, INFORMS, vol. 13(3), pages 210-216, November.
    2. Fangruo Chen & Yu-Sheng Zheng, 1994. "Lower Bounds for Multi-Echelon Stochastic Inventory Systems," Management Science, INFORMS, vol. 40(11), pages 1426-1443, November.
    3. Hau L. Lee & Christopher S. Tang, 1998. "Variability Reduction Through Operations Reversal," Management Science, INFORMS, vol. 44(2), pages 162-172, February.
    4. Paul Zipkin, 1989. "Critical Number Policies for Inventory Models with Periodic Data," Management Science, INFORMS, vol. 35(1), pages 71-80, January.
    5. Marshall Fisher & Ananth Raman, 1996. "Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales," Operations Research, INFORMS, vol. 44(1), pages 87-99, February.
    6. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    7. Awi Federgruen & Paul Zipkin, 1984. "Approximations of Dynamic, Multilocation Production and Inventory Problems," Management Science, INFORMS, vol. 30(1), pages 69-84, January.
    8. Roman Kapuscinski & Sridhar Tayur, 1999. "Variance vs. Standard Deviation: Variability Reduction Through Operations Reversal," Management Science, INFORMS, vol. 45(5), pages 765-767, May.
    9. Hau L. Lee & Corey Billington & Brent Carter, 1993. "Hewlett-Packard Gains Control of Inventory and Service through Design for Localization," Interfaces, INFORMS, vol. 23(4), pages 1-11, August.
    10. Roman Kapuściński & Sridhar Tayur, 1998. "A Capacitated Production-Inventory Model with Periodic Demand," Operations Research, INFORMS, vol. 46(6), pages 899-911, December.
    11. Jing-Sheng Song & Paul Zipkin, 1993. "Inventory Control in a Fluctuating Demand Environment," Operations Research, INFORMS, vol. 41(2), pages 351-370, April.
    12. Paul Zipkin, 1982. "Exact and Approximate Cost Functions for Product Aggregates," Management Science, INFORMS, vol. 28(9), pages 1002-1012, September.
    13. D. Beyer & S. P. Sethi, 1997. "Average Cost Optimality in Inventory Models with Markovian Demands," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 497-526, March.
    14. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
    15. Dirk Beyer & Feng Cheng & Suresh P. Sethi & Michael Taksar, 2010. "Markovian Demand Inventory Models," International Series in Operations Research and Management Science, Springer, number 978-0-387-71604-6, September.
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