An repeated service queue with N-policy and setup time subject to server's breakdown and delayed repair

This article deals with the N-policy with setup time of an unreliable M X /G/1 queue provides two types of general heterogeneous service under optional repeated service and delayed repair. The server is turned off each time as soon as the system becomes empty and waits until the queue size becomes e...

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Bibliographic Details
Published inCommunications in statistics. Theory and methods Vol. 49; no. 23; pp. 5709 - 5737
Main Authors Kalita, Chandi Ram, Choudhury, Gautam
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 01.12.2020
Taylor & Francis Ltd
Subjects
elapsed time
N-policy
Queues
remaining time
Repair
repeated service
setup time
Setup times
two types of service
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ISSN0361-0926
1532-415X
DOI10.1080/03610926.2019.1620783

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Summary:This article deals with the N-policy with setup time of an unreliable M X /G/1 queue provides two types of general heterogeneous service under optional repeated service and delayed repair. The server is turned off each time as soon as the system becomes empty and waits until the queue size becomes exactly. As soon as exactly ( ) customers accumulate in the system, the server has to undertake a set up period before starting the busy period. The steady state queue size distributions by considering both elapsed and remaining times as well as various system characteristics has been derived for this model.
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SourceType-Scholarly Journals-1
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ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2019.1620783