A time-dependent busy period queue length formula for the M/Ek/1 queue
In this paper, a closed-form time-dependent busy period queue length probability is obtained for the M/Ek/1M/Ek/1 queue. This probability is frequently needed when we compare the length of the busy period and the maximum amount of service that can be rendered to the existing customers. The transient...
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sg-ntu-dr.10356-1018042023-03-04T17:19:53Z A time-dependent busy period queue length formula for the M/Ek/1 queue Seung, Ki Moon. Ho, Woo Lee. Jung, Woo Baek. School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering In this paper, a closed-form time-dependent busy period queue length probability is obtained for the M/Ek/1M/Ek/1 queue. This probability is frequently needed when we compare the length of the busy period and the maximum amount of service that can be rendered to the existing customers. The transient probability is given in terms of the generalized modified Bessel function of the second type of Griffiths et al. (2006a). The queue length probability for the M/M/1M/M/1 queue is also presented as a special case. Accepted version 2014-02-04T06:22:05Z 2019-12-06T20:44:45Z 2014-02-04T06:22:05Z 2019-12-06T20:44:45Z 2014 2014 Journal Article Jung, W. B., Seung, K. M., & Ho, W. L. (2014). A time-dependent busy period queue length formula for the M/E_k/1 queue. Statistics & Probability Letters. 87, 98-104. https://hdl.handle.net/10356/101804 http://hdl.handle.net/10220/18754 10.1016/j.spl.2014.01.004 en Statistics & probability letters © 2014 Elsevier B.V. This is the author created version of a work that has been peer reviewed and accepted for publication by Statistics & Probability Letters, Elsevier B.V.. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.spl.2014.01.004]. application/pdf |
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DRNTU::Engineering::Mechanical engineering Seung, Ki Moon. Ho, Woo Lee. Jung, Woo Baek. A time-dependent busy period queue length formula for the M/Ek/1 queue |
| description |
In this paper, a closed-form time-dependent busy period queue length probability is obtained for the M/Ek/1M/Ek/1 queue. This probability is frequently needed when we compare the length of the busy period and the maximum amount of service that can be rendered to the existing customers. The transient probability is given in terms of the generalized modified Bessel function of the second type of Griffiths et al. (2006a). The queue length probability for the M/M/1M/M/1 queue is also presented as a special case. |
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School of Mechanical and Aerospace Engineering |
| author_facet |
School of Mechanical and Aerospace Engineering Seung, Ki Moon. Ho, Woo Lee. Jung, Woo Baek. |
| format |
Article |
| author |
Seung, Ki Moon. Ho, Woo Lee. Jung, Woo Baek. |
| author_sort |
Seung, Ki Moon. |
| title |
A time-dependent busy period queue length formula for the M/Ek/1 queue |
| title_short |
A time-dependent busy period queue length formula for the M/Ek/1 queue |
| title_full |
A time-dependent busy period queue length formula for the M/Ek/1 queue |
| title_fullStr |
A time-dependent busy period queue length formula for the M/Ek/1 queue |
| title_full_unstemmed |
A time-dependent busy period queue length formula for the M/Ek/1 queue |
| title_sort |
time-dependent busy period queue length formula for the m/ek/1 queue |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/101804 http://hdl.handle.net/10220/18754 |
| _version_ |
1759852975551938560 |