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A Simple Proof of: L = λ W

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  • William S. Jewell

    (University of California, Berkeley, California)

Abstract

A simple proof of the fundamental queuing formula L = λ W is given that is based on renewal theory. The basic assumptions that are needed are: (1) the event system is empty is recurrent, and (2) the arrival and waiting-time mechanisms are reset by the next arrival after this event occurs.

Suggested Citation

  • William S. Jewell, 1967. "A Simple Proof of: L = λ W," Operations Research, INFORMS, vol. 15(6), pages 1109-1116, December.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:6:p:1109-1116
    DOI: 10.1287/opre.15.6.1109
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    Cited by:

    1. Tsiligianni, Christiana & Tsiligiannis, Aristeides & Tsiliyannis, Christos, 2023. "A stochastic inventory model of COVID-19 and robust, real-time identification of carriers at large and infection rate via asymptotic laws," European Journal of Operational Research, Elsevier, vol. 304(1), pages 42-56.

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