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On the Single Resource Capacity Problem for Multi-Item Inventory Systems

Author

Listed:
  • Meir J. Rosenblatt

    (Technion-Israel Institute of Technology, Haifa, Israel and Washington University, St. Louis, Missouri)

  • Uriel G. Rothblum

    (Technion-Israel Institute of Technology, Haifa, Israel)

Abstract

In this paper, we study multi-item inventory systems under a single resource capacity constraint. In contrast to most previous approaches, we treat the capacity as a decision variable, and not as given data. This is consistent with many practical cases where additional capacities/resources can be acquired/rented at some cost/profit. Two solution procedures are developed for deriving an optimal policy within the class of policies that has a fixed cycle for all items with phasing of orders within the cycle. These solution procedures can be applied to various types of cost functions, as illustrated by an example.

Suggested Citation

  • Meir J. Rosenblatt & Uriel G. Rothblum, 1990. "On the Single Resource Capacity Problem for Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 38(4), pages 686-693, August.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:4:p:686-693
    DOI: 10.1287/opre.38.4.686
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    Cited by:

    1. De Schrijver, Steven K. & Aghezzaf, El-Houssaine & Vanmaele, Hendrik, 2013. "Aggregate constrained inventory systems with independent multi-product demand: Control practices and theoretical limitations," International Journal of Production Economics, Elsevier, vol. 143(2), pages 416-423.
    2. Jackson, Jonathan E. & Munson, Charles L., 2016. "Shared resource capacity expansion decisions for multiple products with quantity discounts," European Journal of Operational Research, Elsevier, vol. 253(3), pages 602-613.
    3. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    4. Boctor, Fayez F., 2010. "Offsetting inventory replenishment cycles to minimize storage space," European Journal of Operational Research, Elsevier, vol. 203(2), pages 321-325, June.
    5. Murthy, Nagesh N. & Benton, W. C. & Rubin, Paul A., 2003. "Offsetting inventory cycles of items sharing storage," European Journal of Operational Research, Elsevier, vol. 150(2), pages 304-319, October.
    6. Fayez F. Boctor & Marie-Claude Bolduc, 2018. "The inventory replenishment planning and staggering problem: a bi-objective approach," 4OR, Springer, vol. 16(2), pages 199-224, June.
    7. 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.
    8. Haksever, Cengiz & Moussourakis, John, 2005. "A model for optimizing multi-product inventory systems with multiple constraints," International Journal of Production Economics, Elsevier, vol. 97(1), pages 18-30, July.

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