[ACM Press the 6th International Conference - Seoul, Korea (2011.08.23-2011.08.26)] Proceedings of the 6th International Conference on Queueing Theory and Network Applications - QTNA '11 - Time dependent analysis of M/M/ 1 queue with server vacations and a waiting server

✍ Scribed by Kalidass, Kaliappan; Ramanath, Kasturi

• Book ID: 120992969
• Publisher: ACM Press
• Year: 2011
• Weight: 170 KB
• Category: Article
• ISBN: 1450307582
• DOI: 10.1145/2021216.2021227

✦ Synopsis

In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a waiting server. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems. Numerical illustrations are provided to examine the sensitivity of the system state probabilities to changes in the parameters of the system.