On the relation between customer and time averages in queues-Reference-Cited by-同舟云学术

On the relation between customer and time averages in queues

Published:1971-09 Issue:3 Volume:8 Page:508-520
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Brumelle Shelby L.

Abstract

Little [8] gave conditions sufficient to obtain the formula L = λW, where L is the time average queue size, W is the expected wait in queue, and λ is the arrival rate of customers. This formula is applicable to a very general class of queuing models and is one of the most useful results in queuing theory.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference13 articles.

1. A Proof for the Queuing Formula:L= λW

2. The stability of a queue with non-independent inter-arrival and service times

3. Brumelle S. L. (1970) Some inequalities for parallel server queues. Operat. Res. (To appear.)

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