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

Author

Listed:
  • Evsey Morozov

    (Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia
    Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, 185910 Petrozavodsk, Russia
    Moscow Center for Fundamental and Applied Mathematics, Moscow State University, 119991 Moscow, Russia
    These authors contributed equally to this work.)

  • Michele Pagano

    (Department of Information Engineering, University of Pisa, 56126 Pisa, Italy
    These authors contributed equally to this work.)

  • Irina Peshkova

    (Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia
    These authors contributed equally to this work.
    Current address: Lenina Str., 33, 185910 Petrozavodsk, Russia.)

  • Alexander Rumyantsev

    (Department of Applied Mathematics and Cybernetics, Petrozavodsk State University, 185035 Petrozavodsk, Russia
    Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, 185910 Petrozavodsk, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Evsey Morozov & Michele Pagano & Irina Peshkova & Alexander Rumyantsev, 2020. "Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time Distribution," Mathematics, MDPI, vol. 8(8), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1277-:d:393918
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    References listed on IDEAS

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    1. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    2. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    3. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    4. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    5. Bobby N. W. Ma & Jon W. Mark, 1995. "Approximation of the Mean Queue Length of an M/G/c Queueing System," Operations Research, INFORMS, vol. 43(1), pages 158-165, February.
    6. N. Nair & M. Preeth, 2009. "On some properties of equilibrium distributions of order n," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(4), pages 453-464, November.
    7. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    8. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    9. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 1.
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    Cited by:

    1. Nika Ivanova, 2023. "On Importance of Sensitivity Analysis on an Example of a k -out-of- n System," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    2. Michiel De Muynck & Herwig Bruneel & Sabine Wittevrongel, 2023. "Analysis of a Queue with General Service Demands and Multiple Servers with Variable Service Capacities," Mathematics, MDPI, vol. 11(4), pages 1-21, February.

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