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Letter to the Editor—A Simpler Proof of L = λ W

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  • Samuel Eilon

    (Imperial College of Science and Technology, London, England)

Abstract

The relation L = λ W has been shown to hold for particular queuing systems ( L = average number of customers in the system, λ = mean arrival rate, W = mean customer waiting time) and J ewell published a general proof in 1967. This note presents a simple proof that does not depend on arrival-or service-time distributions, on the number of servers in the system, or on the queuing discipline.

Suggested Citation

  • Samuel Eilon, 1969. "Letter to the Editor—A Simpler Proof of L = λ W," Operations Research, INFORMS, vol. 17(5), pages 915-917, October.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:5:p:915-917
    DOI: 10.1287/opre.17.5.915
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