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A Simpler Proof of L=λ W

Samuel Eilon
Operations Research
Vol. 17, No. 5 (Sep. - Oct., 1969), pp. 915-917
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/168368
Page Count: 3
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A Simpler Proof of L=λ W
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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 Jewell published a general proof in 1967. This note presents a simple proof that does not depend on arrivalor service-time distributions, on the number of servers in the system, or on the queuing discipline.

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