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Reliability of a single unit with k spares in case of the hyper‐exponential and the erlang failure distribution

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  • J. Van Dam
  • F. J. M. Raaijmakers

Abstract

In this paper formulas are derived for the reliability of a single unit to which identical spares in standby are allocated, with all of these units having a hyper‐exponential or Erlang distributed lifetime. Two advantages are obtained by using these distributions. First, the general procedure for calculating the effect of redundancy is applicable, in contrast with most of the common life distributions, such as Weibull. Moreover, both distributions are suitable for matching to observed curves and practical data by varying the values of the parameters, covering together most of the cases of practical interest.

Suggested Citation

  • J. Van Dam & F. J. M. Raaijmakers, 1982. "Reliability of a single unit with k spares in case of the hyper‐exponential and the erlang failure distribution," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 547-555, December.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:4:p:547-555
    DOI: 10.1002/nav.3800290403
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