Management Science and Financial Engineering

  • 제20권2호
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  • Pages.1-5
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  • 2014
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  • 2287-2043(pISSN)
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  • 2287-2361(eISSN)
한국경영과학회 (The Korean Operations Research and Management Science Society)
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An Alternative Approach to the Robust Inventory Control Problem

  • 투고 : 2014.06.03
  • 심사 : 2014.08.06
  • 발행 : 2014.11.30
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초록

The robust inventory control problem was proposed and solved by Bertsimas and Thiele (2006). Their results are very interesting in that the problem can be solved easily and also the solution possesses nice properties of those found in the traditional stochastic inventory control problem. However, their formulation is shown to be incorrect, which invalidates all of the results given there. In this paper, we propose an alternative formulation of the problem which uses a different but practically applicable uncertainty set. Under the newly proposed model, all of the useful properties given in Bertsimas and Thiele (2006) will be shown to be valid.

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참고문헌

  1. Ben-Tal, A., L. E. Ghaoui, and A. Nemirovski, Robust Optimization, Princeton University Press, Princeton, NJ, 2009.
  2. Bertsekas, D., "Dynamic Programming and Optimal Control," Athena Scientific, Belmont, MA, 1, 1995.
  3. Bertsimas, D. and M. Sim, "The Price of Robustness," Operations Research 52 (2004), 35-53. https://doi.org/10.1287/opre.1030.0065
  4. Bertsimas, D. and A. Thiele, "A Robust Optimization Approach to Inventory Theory," Operations Research 54 (2006), 150-168. https://doi.org/10.1287/opre.1050.0238
  5. Bienstock, D. and N. Ozbay, "Computing Robust Basestock Levels," Discrete Optimization 5 (2008), 389-414. https://doi.org/10.1016/j.disopt.2006.12.002
  6. Clark, A. and H. Scarf, "Optimal Policies for a Multiechelon Inventory Problem," Management Science 6 (1960), 475-490. https://doi.org/10.1287/mnsc.6.4.475
  7. Park, K. and K. Lee, "A Generalization of the Robust Inventory problem with Non-Stationary Costs," Int. J. of Management Science 3 (2010), 95-105.
  8. Simchi-Levi, D., P. Kaminsky, and E. Simchi-Levi, 2007, Designing and Managing the Supply Chain, 3rd Edition, McGraw-Hill/Irwin, 2010.