Approximation Formulae for Estimation of Waiting-Time in Multiple-Channel Queueing System
- 1 February 1973
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science
- Vol. 19 (6) , 703-710
- https://doi.org/10.1287/mnsc.19.6.703
Abstract
This article deals with two approximation formulae for estimation of W q, mean waiting-time in a M/E k/R queueing system. It is shown how W q for the multiple-channel system with \lambda = \lambda, \mu = \mu is approximately Rth part of W q- , mean waiting-time in a single-channel system with \lambda = \lambda/R, \mu = \mu . A second approximation applies the exact ratio W /W - for M/M/R and M/M/1-systems to general M/E k/R-systems This is particularly illustrated in the case of M/M/R and M/D/R-systems.Keywords
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