Vol. 7 No. 1 (2023): Vol 7, Iss 1, Year 2023
Articles
Bernoulli-Based Queueing Model Working Vacations, Interrupted Vacations and Subject to Catastrophes
Published
June 30, 2023
Keywords
- Markovian Queueing System, Server Vacations, Bernoulli Schedule, Probability Generating Function, Catastrophes
How to Cite
B, C., B, G., & Vasanthakumar SU. (2023). Bernoulli-Based Queueing Model Working Vacations, Interrupted Vacations and Subject to Catastrophes. Journal of Computational Mathematica, 7(1), 148-159. Retrieved from https://shcpub.in/index.php/cm/article/view/315
Abstract
In this study, we explore an M/M/1 queueing model with working vacation and a variation of multiple vacation that is vulnerable to catastrophe events. When the system is not empty, catastrophes happen and wipe out all of the system’s current consumers. By employing the probability generating function approach, we create the steady state probabilities and resolve the differential equations.
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