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

	On fluctuation analysis of different kinds of n-policy queues with single vacation
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 2029-2040 اصل مقاله (419.39 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5340
نویسندگان
Hind Saad Kazem^* ؛ Ali Hussein Mahmood Al-Obaidi
Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq
چکیده
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.
کلیدواژه‌ها
N-policy؛ single vacation؛ fluctuation theory؛ input batches؛ bulk input؛ marked delayed renewal process؛ delayed renewal process؛ point process؛ marked point process؛ random walk
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