Mixed loss and delay retrial queueing system with two classes of customers

This paper is concerned with the analysis of a single-server batch arrival retrial queue with two classes of customers. In the case of blocking, the class-1 customers leave the system forever whereas the class-2 customers leave the service area and enter the orbit and wait to be served later. The ne...

Full description

Bibliographic Details
Main Authors: B. Krishna Kumar, S. Pavai Madheswari
Format: Article
Language:English
Published: University of Bologna 2007-10-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/1286
id doaj-5670c66a267c4933abe95d331c04adc2
record_format Article
spelling doaj-5670c66a267c4933abe95d331c04adc22020-11-24T23:37:51ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-01641577310.6092/issn.1973-2201/12861229Mixed loss and delay retrial queueing system with two classes of customersB. Krishna KumarS. Pavai MadheswariThis paper is concerned with the analysis of a single-server batch arrival retrial queue with two classes of customers. In the case of blocking, the class-1 customers leave the system forever whereas the class-2 customers leave the service area and enter the orbit and wait to be served later. The necessary and sufficient condition for the system to be stable is derived and analytic results for the queue length distribution as well as some performance measures of the system under steady state condition are obtained. A general decomposition law for the retrial queueing system is established.http://rivista-statistica.unibo.it/article/view/1286
collection DOAJ
language English
format Article
sources DOAJ
author B. Krishna Kumar
S. Pavai Madheswari
spellingShingle B. Krishna Kumar
S. Pavai Madheswari
Mixed loss and delay retrial queueing system with two classes of customers
Statistica
author_facet B. Krishna Kumar
S. Pavai Madheswari
author_sort B. Krishna Kumar
title Mixed loss and delay retrial queueing system with two classes of customers
title_short Mixed loss and delay retrial queueing system with two classes of customers
title_full Mixed loss and delay retrial queueing system with two classes of customers
title_fullStr Mixed loss and delay retrial queueing system with two classes of customers
title_full_unstemmed Mixed loss and delay retrial queueing system with two classes of customers
title_sort mixed loss and delay retrial queueing system with two classes of customers
publisher University of Bologna
series Statistica
issn 0390-590X
1973-2201
publishDate 2007-10-01
description This paper is concerned with the analysis of a single-server batch arrival retrial queue with two classes of customers. In the case of blocking, the class-1 customers leave the system forever whereas the class-2 customers leave the service area and enter the orbit and wait to be served later. The necessary and sufficient condition for the system to be stable is derived and analytic results for the queue length distribution as well as some performance measures of the system under steady state condition are obtained. A general decomposition law for the retrial queueing system is established.
url http://rivista-statistica.unibo.it/article/view/1286
work_keys_str_mv AT bkrishnakumar mixedlossanddelayretrialqueueingsystemwithtwoclassesofcustomers
AT spavaimadheswari mixedlossanddelayretrialqueueingsystemwithtwoclassesofcustomers
_version_ 1725518806837624832