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http://bura.brunel.ac.uk/handle/2438/6149
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DC Field | Value | Language |
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dc.contributor.author | Khalaf, RF | - |
dc.contributor.author | Madan, KC | - |
dc.contributor.author | Lucas, CA | - |
dc.date.accessioned | 2012-01-20T10:56:29Z | - |
dc.date.available | 2012-01-20T10:56:29Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Journal of Probability and Statistics, Artn: 812726, May 2011 | en_US |
dc.identifier.issn | 1687-952X | - |
dc.identifier.uri | http://www.hindawi.com/journals/jps/2011/812726/ | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/6149 | - |
dc.description | This Article is provided by the Brunel Open Access Publishing Fund - Copyright @ 2011 Hindawi Publishing | en_US |
dc.description.abstract | We 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.iso | en | en_US |
dc.publisher | Hindawi Publishing Corporation | en_US |
dc.title | On a batch arrival queuing system equipped with a stand-by server during vacation periods or the repairs times of the main server | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://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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Fulltext.pdf | 501.05 kB | Adobe PDF | View/Open |
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