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on fluctuation analysis of different kinds of n-policy queues with single vacation
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نویسنده
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kazem hind saad ,al-obaidi ali
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:2029 -2040
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چکیده
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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.
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کلیدواژه
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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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آدرس
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university of babylon, college of education for pure sciences, department of mathematics, iraq, university of babylon, college of education for pure sciences, department of mathematics, iraq
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پست الکترونیکی
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aalobaidi@uobabylon.edu.iq
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Authors
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