Letter to the Editor—A Simpler Proof of L = λW
Published Online:1 Oct 1969https://doi.org/10.1287/opre.17.5.915
Abstract
The relation L = λW 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 arrival-or service-time distributions, on the number of servers in the system, or on the queuing discipline.
