%0 Journal Article
%T On fluctuation analysis of different kinds of n-policy queues with single vacation
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Saad Kazem, Hind
%A Al-Obaidi, Ali Hussein Mahmood
%D 2021
%\ 11/01/2021
%V 12
%N 2
%P 2029-2040
%! On fluctuation analysis of different kinds of n-policy queues with single vacation
%K N-policy
%K single vacation
%K fluctuation theory
%K input batches
%K bulk input
%K marked delayed renewal process
%K delayed renewal process
%K point process
%K marked point process
%K random walk
%R 10.22075/ijnaa.2021.5340
%X In this paper, we debate queueing systems with N-policy and single vacation. We consider these systems when the vacation times have ErlangÂ distribution. Moreover, we adapted the input by studying two different kinds: first, an ordinary Poisson input, and second, type 2 geometricÂ batch input. We derive the probability generating function of the number of units in the system in two cases by using fluctuation analysis.
%U https://ijnaa.semnan.ac.ir/article_5340_cce625699519dd5713ca68f9d290c000.pdf