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

Samuel Eilon
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Samuel Eilon: Imperial College of Science and Technology, London, England

Operations Research, 1969, vol. 17, issue 5, 915-917

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.

Date: 1969
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