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On the asymptotic behaviour of an unreliable M/G/1 retrial queue with impatience
  • Djamel Hamadouche,
  • amar aissani,
  • Ferhat LOUNIS
Djamel Hamadouche
Universite Mouloud Mammeri de Tizi Ouzou

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amar aissani
University of Sciences and Technology Houari Boumediene Faculty of Electronics and Computer Science
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Ferhat LOUNIS
Universite Mouloud Mammeri de Tizi Ouzou
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Abstract

This paper studies the unreliable M/G /1 retrial queuing system with impatient customers and preventive maintenance. The performance analysis of this system has been carried out in a recent paper by Aissani et al [1]. In this article, we find the stationary distribution of the numbers of customers in the orbit at the service completion epoch. We obtain asymptotic behaviour of the number of customers in the orbit under some extreme conditions: heavy traffic and