Asymptotic mean and variance of departures in an M/G/1/K+1 queue

摘要

The distribution of the number Z(t) of departures from an M/G/1/K + 1 queue during a time interval (0, t] is asymptotically normal with mean mu t and variance sigma(2)t. In this paper, a simple method for computing the departure rate mu and variance rate sigma(2) is derived. Sensitivity of mu and sigma(2) with respect to the service time distribution is investigated numerically. (C) 2019 Elsevier B.V. All rights reserved.