The IRMA Community
Newsletters
Research IRM
Click a keyword to search titles using our InfoSci-OnDemand powered search:
|
An Unreliable Batch Arrival Retrial Queueing System With Bernoulli Vacation Schedule and Linear Repeated Attempts: Unreliable Retrial System With Bernoulli Schedule
|
|
Author(s): Gautam Choudhury (Institute of Advanced Study in Science and Technology, Guwahati, India)and Lotfi Tadj (Department of Industrial Engineering, Alfaisal University, Riyadh, Saudi Arabia)
Copyright: 2020
Volume: 11
Issue: 1
Pages: 27
Source title:
International Journal of Operations Research and Information Systems (IJORIS)
Editor(s)-in-Chief: John Wang (Montclair State University, USA)
DOI: 10.4018/IJORIS.2020010104
Purchase
|
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.
Related Content
|
Efigenia Madalena Mario Semente, Ricartha B. Haragaes.
© 2024.
23 pages.
|
|
Julian Scott Yeomans.
© 2023.
20 pages.
|
|
Brian J. Galli, Fuwei Qiu.
© 2023.
9 pages.
|
|
Sheunesu Brandon Shamuyarira, Trust Tawanda, Elias Munapo.
© 2023.
17 pages.
|
|
Basiru Adetomiwa, Bosede Olutoyin Akintola, Rasaki Oluwole Ejiwoye, Adeeko Christy Olabisi.
© 2023.
15 pages.
|
|
Hana O. A. Al-Omar.
© 2023.
20 pages.
|
|
Tianxin Li, Hua Liu.
© 2023.
11 pages.
|
|
|