A Simple Proof of: L = λW

William S. Jewell

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Advanced Queuing Theory Analysis Probability and Statistical Research Age of Information Optimization

Abstract

A simple proof of the fundamental queuing formula L = λW 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.

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1961A Proof for the Queuing Formula: L = λ W

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