Infinite Divisibility of Some Steady State Queue Characteristics

Abstract

In this paper we consider various continuous/discrete time queueing models with general service time distribution. With an aim to identify queueing models we examine the structural properties like infinite divisibility of the stationary distribution of various characteristics of different queueing models and report some new results. Our investigation is further extended to bulk arrival models and multiple vacation queueing models, revealing the structural aspects of their steady state distributions.