Geodesic
Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption
Yu, Senlin1  ; Liu, Zaiming1 ; Wu, Jinbiao1
1 School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, P.R. China.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 931-944

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This paper studies a fluid queue driven by a multi-server queue with multiple working vacations and vacation interruption. The stationary distribution of the background environment is obtained after some manipulation. A system of differential equations satisfied by the fluid queue is presented, by which we gain the matrix-geometric structure of the Laplace transform of the stationary buffer content. Furthermore, we derive the explicit expression of the mean buffer content. Finally, the numerical example is employed to illustrate our results.

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Accepté le :
DOI : 10.1051/ro/2017002
Classification : 60K25, 68M20
Keywords: M/M/c queue, fluid queue, working vacations, buffer content, vacation interruption

Yu, Senlin 1 ; Liu, Zaiming 1 ; Wu, Jinbiao 1

1 School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, P.R. China. 
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     title = {Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {931--944},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {4},
     year = {2017},
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     zbl = {1393.60107},
     language = {en},
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Yu, Senlin; Liu, Zaiming; Wu, Jinbiao. Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 931-944. doi: 10.1051/ro/2017002

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