Analysis of a Markovian queue with two heterogenous servers and a threshold assignment policy
Analysis of a Markovian queue with two heterogenous servers and a threshold assignment policy
- Author(s): Dequan Yue ; Hui Li ; Guoxi Zhao ; Wuyi Yue
- DOI: 10.1049/cp.2015.0615
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- Author(s): Dequan Yue ; Hui Li ; Guoxi Zhao ; Wuyi Yue Source: 12th International Symposium on Operations Research and its Applications in Engineering, Technology and Management (ISORA 2015), 2015 page ()
- Conference: 12th International Symposium on Operations Research and its Applications in Engineering, Technology and Management (ISORA 2015)
- DOI: 10.1049/cp.2015.0615
- ISBN: 978-1-78561-085-1
- Location: Luoyang, China
- Conference date: 21-24 Aug. 2015
- Format: PDF
This paper considers a parallel queuing system with two heterogeneous servers where the task is dispatched to the two servers. The threshold assignment policy dispatches the tasks according to the number of customers in server 1. Firstly, we obtain the stationary condition of the system. Secondly, we give the stationary performance indices by using a matrix-geometric solution theory. Finally, we develop the average cost function and analyze the effect of the parameters on the average cost function by using numerical examples.
Inspec keywords: costing; queueing theory; matrix algebra; telecommunication computing; Markov processes; parallel processing; geometry
Subjects: Queueing systems; Markov processes; Combinatorial mathematics; Markov processes; Linear algebra (numerical analysis); Communications computing; Parallel software; Linear algebra (numerical analysis); Combinatorial mathematics
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