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An Analytic Solution of the Warehouse Problem

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  • Stuart E. Dreyfus

    (The RAND Corporation)

Abstract

In a recent paper, [Bellman, Richard. 1956. On the theory of dynamic programming--a warehousing problem. Management Sci. 2 (3, April) 272.], Bellman uses dynamic programming to establish a computational algorithm for the solution of the "warehouse" problem. The present paper also employs the dynamic-programming approach and shows that the structure of the solution can be determined analytically, with numerical results easily obtained via recursive formulas.

Suggested Citation

  • Stuart E. Dreyfus, 1957. "An Analytic Solution of the Warehouse Problem," Management Science, INFORMS, vol. 4(1), pages 99-104, October.
    • Handle: RePEc:inm:ormnsc:v:4:y:1957:i:1:p:99-104
    DOI: 10.1287/mnsc.4.1.99
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    Cited by:

    1. Yangfang (Helen) Zhou & Alan Scheller-Wolf & Nicola Secomandi & Stephen Smith, 2016. "Electricity Trading and Negative Prices: Storage vs. Disposal," Management Science, INFORMS, vol. 62(3), pages 880-898, March.
    2. Nicola Secomandi, 2010. "Optimal Commodity Trading with a Capacitated Storage Asset," Management Science, INFORMS, vol. 56(3), pages 449-467, March.
    3. Owen Q. Wu & Derek D. Wang & Zhenwei Qin, 2012. "Seasonal Energy Storage Operations with Limited Flexibility: The Price-Adjusted Rolling Intrinsic Policy," Manufacturing & Service Operations Management, INFORMS, vol. 14(3), pages 455-471, July.
    4. Sripad K. Devalkar & Ravi Anupindi & Amitabh Sinha, 2011. "Integrated Optimization of Procurement, Processing, and Trade of Commodities," Operations Research, INFORMS, vol. 59(6), pages 1369-1381, December.
    5. Nicola Secomandi, 2015. "Merchant Commodity Storage Practice Revisited," Operations Research, INFORMS, vol. 63(5), pages 1131-1143, October.
    6. Secomandi, Nicola & Seppi, Duane J., 2014. "Real Options and Merchant Operations of Energy and Other Commodities," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 6(3-4), pages 161-331, July.
    7. Christian Mandl & Selvaprabu Nadarajah & Stefan Minner & Srinagesh Gavirneni, 2022. "Data‐driven storage operations: Cross‐commodity backtest and structured policies," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2438-2456, June.

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