IJPAM: Volume 37, No. 1 (2007)
DISCRETE-TIME QUEUEING MODEL GEOM/G/1
WITH MULTIPLE VACATIONS AND SET-UP TIMES
WITH MULTIPLE VACATIONS AND SET-UP TIMES
Cai-Min Wei, Jian-Jun Wang
Department of Mathematics
Shantou University
Shantou, 515063, P.R. CHINA
e-mail: wcm1234460@sohu.com
School of Management
Dalian University of Technology
Dalian, 116024 P.R. CHINA
e-mail: wmeagle717@163.com
Department of Mathematics
Shantou University
Shantou, 515063, P.R. CHINA
e-mail: wcm1234460@sohu.com
School of Management
Dalian University of Technology
Dalian, 116024 P.R. CHINA
e-mail: wmeagle717@163.com
Abstract.The problem Geom/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