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Semi-Markov Model of a Single-Server Queue with Losses and Maintenance of an Unreliable Server

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Cybernetics and Systems Analysis Aims and scope

Abstract

A semi-Markov model of the single-server GI /G/ 1/ 0 queue is constructed with allowance for the maintenance of an unreliable server. Stationary reliability and economic characteristics of the queue are found, and two-criteria optimization of maintenance periodicity is carried out.

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Author information

Authors and Affiliations

  1. Sevastopol Institute of Banking of the University of Banking of the National bank of Ukraine, Sevastopol, Ukraine

    A. I. Peschansky

  2. Sevastopol National Technical University, Sevastopol, Ukraine

    A. I. Kovalenko

Authors
  1. A. I. Peschansky
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  2. A. I. Kovalenko
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Corresponding author

Correspondence to A. I. Peschansky.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 151–162, July–August, 2015.

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Peschansky, A.I., Kovalenko, A.I. Semi-Markov Model of a Single-Server Queue with Losses and Maintenance of an Unreliable Server. Cybern Syst Anal 51, 632–643 (2015). https://doi.org/10.1007/s10559-015-9754-5

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  • DOI: https://doi.org/10.1007/s10559-015-9754-5

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