Approximation Formulae for Estimation of Waiting-Time in Multiple-Channel Queueing System

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 λ = λ, μ = μ is approximately Rth part of W q − , mean waiting-time in a single-channel system with λ = λ/R, μ = μ. 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.