On the Finite Buffer Queue with Renewal Input and Batch Markovian Service Process: GI/BMSP/1/N |
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| Authors: | A D Banik M L Chaudhry U C Gupta |
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| Institution: | (1) Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India;(2) Department of Mathematics and Computer Science, Royal Military College of Canada, P.O. Box 17000, STN Forces, Kingston, ON, K7K 7B4, Canada |
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| Abstract: | We consider a finite-buffer single-server queue with renewal input where the service is provided in batches of random size
according to batch Markovian service process (BMSP). Steady-state distribution of number of customers in the system at pre-arrival and arbitrary epochs have been obtained along
with some important performance measures. The model has potential applications in the areas of computer networks, telecommunication
systems, and manufacturing systems, etc.
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| Keywords: | Batch Markovian service process General independent arrival Queue Finite buffer |
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