Approximate analysis for delay queueing systems with two different classes of quasi‐random input

Abstract

Multidimensional traffic models where calls of more than two classes of different properties share the same resource are very important as basic models for tightly coupled multiprocessor systems, etc. Thus, this type of research has long been actively performed. So far, some papers on finite-source loss models have been presented. However, neither finite-source delay models nor their approximate analyses have been investigated much.As an approximate analysis method of delay queueing model with two different classes of quasi-random input (MI, M2/M,, M21S//N,, N2 model), this paper proposes a method which approximates combination states of waiting calls of each call class by the ratio of numbers of waiting calls of each call class. Moreover, by comparing numerical results of this approximate analysis with exact solutions and simulation values, it is shown that this approximate analysis method has very good accura-CY.