The matrix-form solution for Geo super(X)/G/1/N working vacation queue and its application to state-dependent cost control
This paper studies a finite buffer size Geo super(X)/G/1/NGeoX/G/1/N queue with single working vacation and different input rates. By combining two classic methods of supplementary variable and embedded Markov chain, the matrix-form solutions of queue-length distributions at departure, arbitrary, pr...
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| Veröffentlicht in: | Computers & operations research 2016-03, Vol.67, p.63-74 |
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| container_title | Computers & operations research |
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| creator | Luo, Chuanyi Li, Wei Yu, Kaizhi Ding, Chuan |
| description | This paper studies a finite buffer size Geo super(X)/G/1/NGeoX/G/1/N queue with single working vacation and different input rates. By combining two classic methods of supplementary variable and embedded Markov chain, the matrix-form solutions of queue-length distributions at departure, arbitrary, pre-arrival and outside observer's observation epochs are obtained. Based on these queue-length distributions, some performance measures are also derived and some numerical experiments are carried out. Then, an optimal control on state-dependent operating cost of a production to order is presented. |
| doi_str_mv | 10.1016/j.cor.2015.07.015 |
| format | Article |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Buffers Computer simulation Mathematical analysis Mathematical models Operating costs Operations research Optimal control Queues |
| title | The matrix-form solution for Geo super(X)/G/1/N working vacation queue and its application to state-dependent cost control |
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