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Studying the queue length in a single-server queuing system with unreliable server

  • Queueing Systems
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Abstract

The unreliable queuing system was studied in both the nonstationary and stationary modes. It was assumed that a Poisson flow of customers arrives to the system; the times of customer servicing and restoration of the server (servicing system) are random variables with arbitrary distributions; the flow of stable failures makes up the restoration process; the interfailure intervals are distributed hyperexponentially; and the waiting and sojourn times as well as the queue length are not limited.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    I. S. Mikadze & V. V. Khocholava

Authors
  1. I. S. Mikadze
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  2. V. V. Khocholava
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Additional information

Translated from Avtomatika i Telemekhanika, No. 1, 2005, pp. 72–81.

Original Russian Text Copyright © 2005 by Mikadze, Khocholava.

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Mikadze, I.S., Khocholava, V.V. Studying the queue length in a single-server queuing system with unreliable server. Autom Remote Control 66, 65–73 (2005). https://doi.org/10.1007/s10513-005-0007-3

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  • DOI: https://doi.org/10.1007/s10513-005-0007-3

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