Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/6149
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dc.contributor.authorKhalaf, RF-
dc.contributor.authorMadan, KC-
dc.contributor.authorLucas, CA-
dc.date.accessioned2012-01-20T10:56:29Z-
dc.date.available2012-01-20T10:56:29Z-
dc.date.issued2011-
dc.identifier.citationJournal of Probability and Statistics, Artn: 812726, May 2011en_US
dc.identifier.issn1687-952X-
dc.identifier.urihttp://www.hindawi.com/journals/jps/2011/812726/en
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/6149-
dc.descriptionThis Article is provided by the Brunel Open Access Publishing Fund - Copyright @ 2011 Hindawi Publishingen_US
dc.description.abstractWe study a queuing system which is equipped with a stand-by server in addition to the main server. The stand-by server provides service to customers only during the period of absence of the main server when either the main server is on a vacation or it is in the state of repairs due to a sudden failure from time to time. The service times, vacation times, and repair times are assumed to follow general arbitrary distributions while the stand-by service times follow exponential distribution. Supplementary variables technique has been used to obtain steady state results in explicit and closed form in terms of the probability generating functions for the number of customers in the queue, the average number of customers, and the average waiting time in the queue while the MathCad software has been used to illustrate the numerical results in this work.en_US
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.titleOn a batch arrival queuing system equipped with a stand-by server during vacation periods or the repairs times of the main serveren_US
dc.typeArticleen_US
dc.identifier.doihttp://dx.doi.org/10.1155/2011/812726-
pubs.organisational-data/Brunel-
pubs.organisational-data/Brunel/Brunel Active Staff-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths-
pubs.organisational-data/Brunel/University Research Centres and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Centre for the Analysis of Risk and Optimisation Modelling Applications-
Appears in Collections:Publications
Brunel OA Publishing Fund
Dept of Mathematics Research Papers
Mathematical Sciences

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