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A Simple Proof of: L = λ W

William S. Jewell
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William S. Jewell: University of California, Berkeley, California

Operations Research, 1967, vol. 15, issue 6, 1109-1116

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.

Date: 1967
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