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 223
M/G/1 Retrial Queue with Negative Arrivals And Unreliable server
Dihia Belaiza, Samira Taleb
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2195
April 15, 2195

Abstract: In this paper, we study a new version of an unreliable retrial queueing system with negative arrivals. We obtain the joint distribution of the server state and the number of orbiting customers in the system in term of generating functions using the supplementary variable method. Some performance measures are derived. From the reliability view point, we analyse the time to the first failure of the server through its relialibiliy function.