Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 61
An M/M^K/1 queue subject to two Bernoulli catastrophes with multiple vacation
Anfal Rezgui, Hafida Saggou
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 27, 2021
March 03, 2062
April 15, 2062

Abstract: We have analyzed an M/M^K/1 subject to two different Bernoulli catastrophes under multiple vacation policy. We assume that initially there are K customers in the system, so thier service starts directly. We assume that catastrophes can occur when the server is in service (with probability p) or when it is on vacation (with probability q). This proposed model is solved using the appropriate generating functions, which gives steady state probabilities and some performance measures. Numerical results are sketched out to illustrate the effect of the system parameters on the main performance ...