Sreenivasan, C; Dr.Krishnamoorthy,A(Cochin University of Science and Technology, August 16, 2012)
[+]
[-]
Abstract:
The objective of the study of \Queueing models with vacations and working
vacations" was two fold; to minimize the server idle time and improve the
e ciency of the service system. Keeping this in mind we considered queueing
models in di erent set up in this thesis.
Chapter 1 introduced the concepts and techniques used in the thesis and
also provided a summary of the work done. In chapter 2 we considered an
M=M=2 queueing model, where one of the two heterogeneous servers takes
multiple vacations. We studied the performance of the system with the help
of busy period analysis and computation of mean waiting time of a customer
in the stationary regime. Conditional stochastic decomposition of queue
length was derived. To improve the e ciency of this system we came up
with a modi ed model in chapter 3. In this model the vacationing server
attends the customers, during vacation at a slower service rate. Chapter
4 analyzed a working vacation queueing model in a more general set up.
The introduction of N policy makes this MAP=PH=1 model di erent from
all working vacation models available in the literature. A detailed analysis
of performance of the model was provided with the help of computation of
measures such as mean waiting time of a customer who gets service in normal
mode and vacation mode.
Description:
Department of Mathematics, Cochin University of Science and Technology