Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time Distribution

Evsey Morozov, Michele Pagano, Irina Peshkova and Alexander Rumyantsev
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Evsey Morozov: Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia
Michele Pagano: Department of Information Engineering, University of Pisa, 56126 Pisa, Italy
Irina Peshkova: Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia
Alexander Rumyantsev: Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia

Mathematics, 2020, vol. 8, issue 8, 1-16

Abstract: The motivation of mixing distributions in communication/queueing systems modeling is that some input data (e.g., service time in queueing models) may follow several distinct distributions in a single input flow. In this paper, we study the sensitivity of performance measures on proximity of the service time distributions of a multiserver system model with two-component Pareto mixture distribution of service times. The theoretical results are illustrated by numerical simulation of the M / G / c systems while using the perfect sampling approach.

Keywords: pareto mixture distribution; multiserver system; uniform distance; perfect simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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