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The single period procurement problem where dedicated supplier capacity can be reserved

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  • Karuna Jain
  • Edward A. Silver

Abstract

In this article we consider the single period procurement strategy for an item with uncertainty in its demand and uncertainty in the capacity of the supplier. Dedicated capacity can be ensured by paying a premium charge to the supplier. The other decision variable is the replenishment quantity to request. It turns out to be very easy to select the best value of this latter quantity. On the other hand, we are only able to characterize the general behavior of the expected profit as a function of the level of dedicated capacity. In general, there can be multiple local maxima as a function of the dedicated capacity. However, for the special, but important, case of normally distributed demand, normally distributed capacity and a linear cost for reserving capacity, an algorithm is developed for finding the best level of dedicated capacity. Some preliminary insights regarding the extension to multiple periods are presented. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Karuna Jain & Edward A. Silver, 1995. "The single period procurement problem where dedicated supplier capacity can be reserved," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 915-934, September.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:6:p:915-934
    DOI: 10.1002/1520-6750(199509)42:63.0.CO;2-M
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    References listed on IDEAS

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    2. Ward, SC & Chapman, CB & Klein, JH, 1991. "Theoretical versus applied models: The newsboy problem," Omega, Elsevier, vol. 19(4), pages 197-206.
    3. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
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    1. Papachristos, Ioannis & Pandelis, Dimitrios G., 2022. "Newsvendor models with random supply capacity and backup sourcing," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1231-1243.
    2. Ilkyeong Moon & Byung-Hyun Ha & Jongchul Kim, 2012. "Inventory systems with variable capacity," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(1), pages 68-86.

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