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 R th 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.