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An Algorithmic Approach for Multiserver Retrial Queues with Two Customers Classes and Non-preemptive Priority

  • Nawel GharbiEmail author
  • Leila Charabi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10378)

Abstract

Retrial queueing models with multiple servers and two classes of customers arise in various practical computer and telecommunication systems. The consideration of retrials (or repeated attempts) introduces analytical difficulties and most of works consider either models with preemptive priority or non-preemptive priority in the single server case. This paper aims to propose a recursive algorithmic approach for the performance analysis of a multiserver retrial queue with non-preemptive priority and two customers classes: ordinary customers whose access to the service depends on the number of available servers and who join the orbit when blocked; and impatient priority customers who have access to all servers and are lost when no server is available. In addition, we develop the formula of the main stationary performance measures. Through numerical examples, we study the effect of the system parameters on the blocking probability for ordinary customers and the loss probability for priority customers.

Keywords

Retrial multiserver queues Two customers classes Impatient customers Non-preemptive priority Recursive algorithm Performance measures 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of Sciences and Technology USTHBAlgiersAlgeria
  2. 2.National Computer Science Engineering School ESIAlgiersAlgeria

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