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 209
Strategic joining in the unobservable M/M/1 queue with differentiated vacations
Sylia Abdoun, Samira Taleb
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 26, 2022
March 03, 2184
April 15, 2184

Abstract: We study the strategic behavior of customers based on a reward-cost structure in a single server queueing system with differentiated vacations. The server takes type 1 vacation after a busy period and type 2 vacation after returning from a vacation (type 1 or type 2), and there is no customer waiting in the system. The customers decide whether to join or not the queue based on the available information upon their arrival. We consider two cases: Almost Unobservable case and Fully Unobservable case. For each case, we evaluate the equilibrium strategies and analyze the stationary behavior of ...