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Reliability Analysis of a Two-Server Heterogeneous Unreliable Queueing System with a Threshold Control Policy

  • Dmitry EfrosininEmail author
  • Janos Sztrik
  • Mais Farkhadov
  • Natalia Stepanova
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 800)

Abstract

Heterogeneous servers which can differ in service speed and reliability are getting more popular in modeling of modern communication systems. For a two-server queueing system with unreliable servers the allocation of customers between the servers is performed via a threshold control policy which prescribes to use the fastest server whenever it is free and the slower one only if the number of waiting customers exceeds some threshold level depending on the state of faster server. The main task of the paper consists in reliability analysis of the proposed system including evaluation of the stationary availability and reliability function. The effects of different parameters on introduced reliability characteristics are analyzed numerically.

Keywords

Reliability analysis Quasi-birth-and-death process Heterogeneous servers Threshold policy Matrix-geometric solution method 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Dmitry Efrosinin
    • 1
    • 2
    Email author
  • Janos Sztrik
    • 3
  • Mais Farkhadov
    • 4
  • Natalia Stepanova
    • 4
  1. 1.Peoples’ Friendship University of Russia (RUDN University)MoscowRussia
  2. 2.Johannes Kepler University LinzLinzAustria
  3. 3.University of DebrecenDebrecenHungary
  4. 4.Institute of Control Sciences, RASMoscowRussia

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