Vol. 7 No. 1 (2023): Vol 7, Iss 1, Year 2023
Articles

Bernoulli-Based Queueing Model Working Vacations, Interrupted Vacations and Subject to Catastrophes

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  • Chandrasekar B,
  • Govindan B,
  • Vasanthakumar SU
Chandrasekar B
Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India.
Govindan B
Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India.
Vasanthakumar SU
Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India.
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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