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Statistical tests for exponential service from m/g/1 waiting‐time data

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  • T. R. Thiagarajan
  • Carl M. Harris

Abstract

From an original motivation in quantitative inventory modeling, we develop methods for testing the hypothesis that the service times of an M/G/1 queue are exponentially distributed, given a sequence of observations of customer line and/or system waits. The approaches are mostly extensions of the well‐known exponential goodness‐of‐fit test popularized by Gnedenko, which results from the observation that the sum of a random exponential sample is Erlang distributed and thus that the quotient of two independent exponential sample means is F distributed.

Suggested Citation

  • T. R. Thiagarajan & Carl M. Harris, 1979. "Statistical tests for exponential service from m/g/1 waiting‐time data," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(3), pages 511-520, September.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:3:p:511-520
    DOI: 10.1002/nav.3800260312
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