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An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule

An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule

Gautam Choudhury, Lotfi Tadj
Copyright: © 2020 |Volume: 11 |Issue: 1 |Pages: 27
ISSN: 1947-9328|EISSN: 1947-9336|EISBN13: 9781799806530|DOI: 10.4018/IJORIS.2020010104
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MLA

Choudhury, Gautam, and Lotfi Tadj. "An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule." IJORIS vol.11, no.1 2020: pp.83-109. http://doi.org/10.4018/IJORIS.2020010104

APA

Choudhury, G. & Tadj, L. (2020). An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule. International Journal of Operations Research and Information Systems (IJORIS), 11(1), 83-109. http://doi.org/10.4018/IJORIS.2020010104

Chicago

Choudhury, Gautam, and Lotfi Tadj. "An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule," International Journal of Operations Research and Information Systems (IJORIS) 11, no.1: 83-109. http://doi.org/10.4018/IJORIS.2020010104

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Abstract

This article deals with the steady-state behavior of an MX/G/1 retrial queue with the Bernoulli vacation schedule and unreliable server, under linear retrial policy. Breakdowns can occur randomly at any instant while the server is providing service to the customers. Further, the concept of Bernoulli admission mechanism is introduced. This model generalizes both the classical MX/G/1 retrial queue with unreliable server as well as the MX/G/1 retrial queue with the Bernoulli vacation model. The authors carry out an extensive analysis of this model. Namely, the embedded Markov chain, the stationary distribution of the number of units in the orbit, and the state of the server are studied. Some important performance measures and reliability indices of this model are obtained. Finally, numerical illustrations are provided and sensitivity analyses on some of the system parameters are conducted.