IJPAM: Volume 37, No. 1 (2007)

DISCRETE-TIME QUEUEING MODEL GEOM$^{[X]}$/G/1
WITH MULTIPLE VACATIONS AND SET-UP TIMES

Cai-Min Wei$^1$, Jian-Jun Wang$^2$
$^1$Department of Mathematics
Shantou University
Shantou, 515063, P.R. CHINA
e-mail: wcm1234460@sohu.com
$^2$School of Management
Dalian University of Technology
Dalian, 116024 P.R. CHINA
e-mail: wmeagle717@163.com


Abstract.The problem Geom$^{[X]}$/G/1, a queueing model of discrete time with multiple vacations and set-up times with batch arrival is considered. The generating functions of the steady state queue length, waiting time and their stochastic decomposition are derived. The busy period, the whole vacation period, the idle period and the on-line period of model are given.

Received: September 3, 2006

AMS Subject Classification: 60K25, 68M20

Key Words and Phrases: queueing model, stochastic decomposition, multiple vacations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 1