Analysis of M/m/c Retrial Queue with Thresholds, Ph Distribution of Retrial Times and Unreliable Servers
Document Type
Article
Publication Date
2021
Publication Title
Journal of Applied Mathematics and Informatics
Abstract
This paper treats a retrial queue with phase type retrial times and a threshold type-policy, where each server is subject to breakdowns and repairs. Upon a server failure, the customer whose service gets interrupted will be handed over to another available server, if any; otherwise, the customer may opt to join the retrial orbit or depart from the system according to a Bernoulli trial. We analyze such a multi-server retrial queue using the recently introduced threshold-based retrial times for orbiting customers. Applying the matrix-analytic method, we carry out the steady-state analysis and report a few illustrative numerical examples.
Volume
39
Issue
No. 1-2
First Page
173
Last Page
196
DOI
10.14317/jami.2021.173
ISSN
ISSN 2234-8417 (Online), ISSN 2734-1194 (Print)
Rights
© 2021 KSCAM
Recommended Citation
Chakravarthy, Srinivas R.; Ozka, Serife; and Shruti, "Analysis of M/m/c Retrial Queue with Thresholds, Ph Distribution of Retrial Times and Unreliable Servers" (2021). Industrial & Manufacturing Engineering Publications. 122.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/122
