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On exhibiting inventory systems with Erlangian lifetimes under renewal demands

  • Applied Probabilities
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Abstract

A continuous revies (s, S) inventory system with renewal demand in which one item is put into operation as an exhibiting piece is analyzed. The lifetime of any operating unit has Erlangian distribution, and on failure is replaced by another one from the stock and the failed item is disposed of. Replenishment of stock is instantaneous. The transient and stationary values of inventory level distribution and the mean reorder rate are obtained using the techniques of semi-regenerative processes. Decision rules for optimums andS that minimize the long-run expected cost rate are derived. The solution for a dual model with the distribution of lifetimes and inter-demand times interchanged is also given.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 600 036, Madras, India

    S. Kalbakam

  2. Department of Statistics, Presidency College, 600 005, Madras, India

    G. Abivarignan

Authors
  1. S. Kalbakam
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  2. G. Abivarignan
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Kalbakam, S., Abivarignan, G. On exhibiting inventory systems with Erlangian lifetimes under renewal demands. Ann Inst Stat Math 41, 601–616 (1989). https://doi.org/10.1007/BF00050671

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  • DOI: https://doi.org/10.1007/BF00050671

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