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Capacity expansion and cost efficiency improvement in the warehouse problem

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  • Majid Al‐Gwaiz
  • Xiuli Chao
  • H. Edwin Romeijn

Abstract

The warehouse problem with deterministic production cost, selling prices, and demand was introduced in the 1950s and there is a renewed interest recently due to its applications in energy storage and arbitrage. In this paper, we consider two extensions of the warehouse problem and develop efficient computational algorithms for finding their optimal solutions. First, we consider a model where the firm can invest in capacity expansion projects for the warehouse while simultaneously making production and sales decisions in each period. We show that this problem can be solved with a computational complexity that is linear in the product of the length of the planning horizon and the number of capacity expansion projects. We then consider a problem in which the firm can invest to improve production cost efficiency while simultaneously making production and sales decisions in each period. The resulting optimization problem is non‐convex with integer decision variables. We show that, under some mild conditions on the cost data, the problem can be solved in linear computational time. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 367–373, 2016

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:63:y:2016:i:5:p:367-373
    DOI: 10.1002/nav.21703
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    References listed on IDEAS

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    1. 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.
    2. Hark‐Chin Hwang & Wilco van den Heuvel, 2012. "Improved algorithms for a lot‐sizing problem with inventory bounds and backlogging," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 244-253, April.
    3. Joseph Geunes & H. Edwin Romeijn & Kevin Taaffe, 2006. "Requirements Planning with Pricing and Order Selection Flexibility," Operations Research, INFORMS, vol. 54(2), pages 394-401, April.
    4. Richard Bellman, 1956. "On the Theory of Dynamic Programming--A Warehousing Problem," Management Science, INFORMS, vol. 2(3), pages 272-275, April.
    5. Hark-Chin Hwang & Wilco van den Heuvel & Albert Wagelmans, 2013. "The economic lot-sizing problem with lost sales and bounded inventory," IISE Transactions, Taylor & Francis Journals, vol. 45(8), pages 912-924.
    6. Nicola Secomandi, 2010. "Optimal Commodity Trading with a Capacitated Storage Asset," Management Science, INFORMS, vol. 56(3), pages 449-467, March.
    7. Guoming Lai & François Margot & Nicola Secomandi, 2010. "An Approximate Dynamic Programming Approach to Benchmark Practice-Based Heuristics for Natural Gas Storage Valuation," Operations Research, INFORMS, vol. 58(3), pages 564-582, June.
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    Cited by:

    1. Jackson, Jonathan E. & Munson, Charles L., 2019. "Common replenishment cycle order policies for multiple products with capacity expansion opportunities and quantity discounts," International Journal of Production Economics, Elsevier, vol. 218(C), pages 170-184.

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