Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services
In this investigation, a novel sort of retrial queueing system with working breakdown services is introduced. Two distinct kinds of customers are considered, which are priority and ordinary customers. The normal busy server may become inadequate due to catastrophes at any time which cause the major...
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doaj-86a893889ea3471f95f5d25e709efb082020-11-24T21:20:57ZengMDPI AGSymmetry2073-89942019-03-0111341910.3390/sym11030419sym11030419Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown ServicesSherif I. Ammar0Pakkirisamy Rajadurai1Department of Mathematics, College of Science, Taibah University, Madinah Munawwarah 414111, Saudi ArabiaDepartment of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam 612001, IndiaIn this investigation, a novel sort of retrial queueing system with working breakdown services is introduced. Two distinct kinds of customers are considered, which are priority and ordinary customers. The normal busy server may become inadequate due to catastrophes at any time which cause the major server to fail. At a failure moment, the major server is sent to be fixed and the server functions at a lower speed (called the working breakdown period) during the repair period. The probability generating functions (PGF) of the system size is found using the concepts of the supplementary variable technique (SVT). The impact of parameters in system performance measures and cost optimization are examined numerically.https://www.mdpi.com/2073-8994/11/3/419priority queuesdisastersretrial queuesworking breakdown services |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sherif I. Ammar Pakkirisamy Rajadurai |
spellingShingle |
Sherif I. Ammar Pakkirisamy Rajadurai Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services Symmetry priority queues disasters retrial queues working breakdown services |
author_facet |
Sherif I. Ammar Pakkirisamy Rajadurai |
author_sort |
Sherif I. Ammar |
title |
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services |
title_short |
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services |
title_full |
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services |
title_fullStr |
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services |
title_full_unstemmed |
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services |
title_sort |
performance analysis of preemptive priority retrial queueing system with disaster under working breakdown services |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-03-01 |
description |
In this investigation, a novel sort of retrial queueing system with working breakdown services is introduced. Two distinct kinds of customers are considered, which are priority and ordinary customers. The normal busy server may become inadequate due to catastrophes at any time which cause the major server to fail. At a failure moment, the major server is sent to be fixed and the server functions at a lower speed (called the working breakdown period) during the repair period. The probability generating functions (PGF) of the system size is found using the concepts of the supplementary variable technique (SVT). The impact of parameters in system performance measures and cost optimization are examined numerically. |
topic |
priority queues disasters retrial queues working breakdown services |
url |
https://www.mdpi.com/2073-8994/11/3/419 |
work_keys_str_mv |
AT sherifiammar performanceanalysisofpreemptivepriorityretrialqueueingsystemwithdisasterunderworkingbreakdownservices AT pakkirisamyrajadurai performanceanalysisofpreemptivepriorityretrialqueueingsystemwithdisasterunderworkingbreakdownservices |
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