Letter to the Editor—The Dependence of Sojourn Times in Tandem M/M/S Queues

1 August 1969

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research

Vol. 17 (4) , 754-755
https://doi.org/10.1287/opre.17.4.754

Abstract

It has been shown in previous work that a sufficient condition for the sojourn times of a customer in a sequence of stationary M/M/s queues in series to be mutually independent random variables is that all queues except the first and last have single servers. An example is considered which shows that, in general, the single-server condition is also necessary.

Keywords

SOJOURN TIMES
SINGLE SERVER
MUTUALLY INDEPENDENT
TANDEM M/M/S
SUFFICIENT CONDITION
INDEPENDENT RANDOM
PREVIOUS WORK
STATIONARY M/M/S

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