On fluctuation analysis of different kinds of n-policy queues with single vacation

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq


In this paper, we debate queueing systems with N-policy and single vacation. We consider these systems when the vacation times have Erlang distribution. Moreover, we adapted the input by studying two different kinds: first, an ordinary Poisson input, and second, type 2 geometric batch input. We derive the probability generating function of the number of units in the system in two cases by using fluctuation analysis.