3 research outputs found
Asymptotic analysis of highly reliable retrial queueing systems
Ankara : Department of Industrial Engineering and the Institute of Engineering and Sciences of Bilkent Univ., 2000.Thesis (Master's) -- Bilkent University, 2000.Includes bibliographical references leaves 66-71The thesis is concerned with the asymptotic analysis of the time of first loss
of a customer and the flow of lost customers in some types of Markov retrial
queueing systems with flnite buffer. A retrial queueing system is characterized
by the following feature: an arriving customer finding all of the servers busy
must leave the service area and join a special buffer. After this it may re-apply
for service after some random time. If the buffer is full the customer is lost.
The analysis of the time of first loss of a customer is based on the method of
so-called S — sets and the results about the asymptotic behavior of the first
exit time from the fixed subset of states of semi-Markov process of a special
structure (so-called monotone structure). Single server retrial queueing systems
[M IM IlIm with retrials) as well as multiple server retrial queueing systems
{M IM fsfm with retrials) are analyzed in cases of fast service and both fast
service and fast retrials. Exponential approximation for the time of first loss
and Poisson approximation for the flow of lost customers are proved for all of
the considered cases.Kurtuluş, MüminM.S