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On the Theory of Dynamic Programming--A Warehousing Problem

Author

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  • Richard Bellman

    (Rand Corp., Santa Monica, California)

Abstract

In a recent report, [Charnes, A., W. W. Cooper. Generalizations of the warehousing model. O. N. R. Research Memorandum, No. 34, 1955, Graduate School of Industrial Administration, Carnegie Institute of Technology.], Charnes and Cooper present a solution by means of linear programming techniques of one version of what is called the "warehouse problem". The purpose of this note is to indicate how problems of this general nature may be approached by means of the functional equation technique of the theory of dynamic programming, and thereby reduced to a very simple and straight-forward computational problem.

Suggested Citation

  • Richard Bellman, 1956. "On the Theory of Dynamic Programming--A Warehousing Problem," Management Science, INFORMS, vol. 2(3), pages 272-275, April.
    • Handle: RePEc:inm:ormnsc:v:2:y:1956:i:3:p:272-275
    DOI: 10.1287/mnsc.2.3.272
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    Cited by:

    1. Fernandez-Corugedo, Emilio & McMahon, Michael & Millard, Stephen & Rachel, Lukasz, 2011. "Understanding the macroeconomic effects of working capital in the United Kingdom," The Warwick Economics Research Paper Series (TWERPS) 959, University of Warwick, Department of Economics.
    2. Majid Al‐Gwaiz & Xiuli Chao & H. Edwin Romeijn, 2016. "Capacity expansion and cost efficiency improvement in the warehouse problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(5), pages 367-373, August.
    3. Nicola Secomandi, 2010. "Optimal Commodity Trading with a Capacitated Storage Asset," Management Science, INFORMS, vol. 56(3), pages 449-467, March.
    4. 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.
    5. 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.
    6. Nicola Secomandi, 2015. "Merchant Commodity Storage Practice Revisited," Operations Research, INFORMS, vol. 63(5), pages 1131-1143, October.
    7. 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.
    8. 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.
    9. Feng, Zhong-kai & Niu, Wen-jing & Cheng, Chun-tian & Wu, Xin-yu, 2017. "Optimization of hydropower system operation by uniform dynamic programming for dimensionality reduction," Energy, Elsevier, vol. 134(C), pages 718-730.

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