论文信息 - Transient Analysis of an M/M/c Queue Subject to Multiple Exponential Vacation

Transient Analysis of an M/M/c Queue Subject to Multiple Exponential Vacation

In this paper, we consider an M/M/c queueing model subject to multiple exponential vacation wherein arrivals occur according to a Poisson distribution and the c servers provide service according to an exponential distribution. When the system is empty, all the c servers go on a vacation and the vacation times are assumed to follow exponential distribution. Further arrivals are allowed to join the queue when servers are in vacation. Explicit analytical expressions for the time dependent probabilities of the number in the system are presented using matrix geometric method.

K. V. Vijayashree | B. Janani

[1] M. Sharafali,et al. Transient Solution to the Many Server Poisson Queue: A Simple Approach , 1989 .

[2] N. Tian,et al. Conditional Stochastic Decompositions in the M/M/c Queue with Server Vacations , 1999 .

[3] Anand Paul,et al. Queuing Model for Cognitive Radio Vehicular Network , 2015, 2015 International Conference on Platform Technology and Service.

[4] P. Vijaya Laxmi,et al. Balking and Reneging Multiple Working Vacations Queue with Heterogeneous Servers , 2015, J. Math. Model. Algorithms Oper. Res..

[5] R. Sudhesh,et al. Computational Analysis of Stationary and Transient Distribution of Single Server Queue with Working Vacation , 2011 .

[6] Sherif I. Ammar. Transient analysis of a two-heterogeneous servers queue with impatient behavior , 2014 .

[7] Wuyi Yue,et al. Analysis of a queueing system with impatient customers and working vacations , 2011 .

[8] Ragab Omarah Al-Seedy,et al. Transient solution of the M/M/c queue with balking and reneging , 2009, Comput. Math. Appl..

[9] Chuen-Horng Lin,et al. Multi-server system with single working vacation , 2009 .

[10] Naishuo Tian,et al. The M/M/1 Queue with Single Working Vacation , 2008 .