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The residual life of the renewal process: A simple algorithm

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  • Manuel P. Baganha
  • Geraldo Ferrer
  • David F. Pyke

Abstract

We develop a simple algorithm, which does not require convolutions, for computing the distribution of the residual life when the renewal process is discrete. We also analyze the algorithm for the particular case of lattice distributions, and we show how it can apply to an inventory problem. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 435–443, 1999

Suggested Citation

  • Manuel P. Baganha & Geraldo Ferrer & David F. Pyke, 1999. "The residual life of the renewal process: A simple algorithm," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(4), pages 435-443, June.
    • Handle: RePEc:wly:navres:v:46:y:1999:i:4:p:435-443
    DOI: 10.1002/(SICI)1520-6750(199906)46:43.0.CO;2-I
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    Cited by:

    1. Eugenia Babiloni & Ester Guijarro & Juan R. Trapero, 2023. "Stock control analytics: a data-driven approach to compute the fill rate considering undershoots," Operational Research, Springer, vol. 23(1), pages 1-25, March.
    2. Pekalp, Mustafa Hilmi, 2022. "Some new bounds for the mean value function of the residual lifetime process," Statistics & Probability Letters, Elsevier, vol. 187(C).

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