Retrial Queues with Unreliable Servers and Delayed Feedback

Author:

Melikov AgassiORCID,Aliyeva Sevinj,Sztrik JanosORCID

Abstract

In this paper, models of unreliable multi-server retrial queues with delayed feedback are examined. The Bernoulli retrial is allowed upon the arrival of both primary (from outside) and feedback customers (from orbit), as well as the Bernoulli feedback that may occur after each service in this system. Servers can break down both during the service of customers and when they are idle. If a server breaks down during the service of a customer, then the interrupted customer, in accordance with the Bernoulli scheme, decides either to leave the system or join a common orbit of retrial and feedback customers. An approximate method, based on the space merging approach of three-dimensional Markov chains, is proposed for the calculation of the steady-state probabilities, as well as performance measures of the system. The results of the numerical experiments are demonstrated.

Funder

European Union and the European Social Fund

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference27 articles.

1. Retrial Queueing Models: A Survey on Theory and Applications;Phung-Duc;arXiv,2019

2. M/M/1 retrial queuing system with loss and feedback under non-pre-emptive priority service by matrix-geometric method;Ayyappan;Appl. Math. Sci.,2010

3. M/M/1 Retrial Queuing System with Loss and Feedback under Pre-Emptive Priority Service

4. Analysis of single server queuing system with batch service under multiple vacations with loss and feedback;Ayyappan;Math. Theory Model.,2014

5. Performance evaluation of two Markovian retrial queuing model with balking and feedback;Bouchentouf;Acta Univ. Sapientiae Math.,2013

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