Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

نویسندگان

چکیده

Abstract This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging retention reneged customers. The steady-state solution obtained by using probability generating function (PGF). In addition, important performance measures are derived. Then, a cost model formulated in order to carry out parameter optimization genetic algorithm (GA). Finally, numerical study presented which various evaluated based on supposed values given parameters.

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ژورنال

عنوان ژورنال: Acta Universitatis Sapientiae: Mathematica

سال: 2022

ISSN: ['1844-6094', '2066-7752']

DOI: https://doi.org/10.2478/ausm-2022-0003