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...
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University of Bologna
2007-10-01
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Series: | Statistica |
Online Access: | http://rivista-statistica.unibo.it/article/view/1286 |
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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 |
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