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The logarithmic poisson gamma distribution: A model for leadtime demand

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  • Steven Nahmias
  • W. Steven Demmy

Abstract

This paper considers an inventory system in which demand occurrences arise according to a stationary Poisson process, demand sizes at each occurrence follow a logarithmic distribution, and leadtimes are random variables with the gamma distribution. Both the exact and approximate distribution for leadtime demand are derived and computations are performed which compare the approximation to the exact distribution. The results have application to both repairable and consumable item inventory systems.

Suggested Citation

  • Steven Nahmias & W. Steven Demmy, 1982. "The logarithmic poisson gamma distribution: A model for leadtime demand," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 667-677, December.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:4:p:667-677
    DOI: 10.1002/nav.3800290413
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    Cited by:

    1. Strijbosch, L.W.G. & Heuts, R.M.J. & van der Schoot, E.H.M., 1998. "Improved Spare Parts Inventory Management : A Case Study," Discussion Paper 1998-135, Tilburg University, Center for Economic Research.
    2. Uttarayan Bagchi, 1987. "Modeling lead‐time demand for lumpy demand and variable lead time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 687-704, October.
    3. Mahdavi, Mojtaba & Olsen, Tava Lennon, 2021. "The dual-serving problem: What is the right choice of inventory strategy?," Omega, Elsevier, vol. 103(C).

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