On the Finite Buffer Queue with Renewal Input and Batch Markovian Service Process: GI/BMSP/1/N

A. D. Banik (), M. L. Chaudhry () and U. C. Gupta ()
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A. D. Banik: Indian Institute of Technology
M. L. Chaudhry: Royal Military College of Canada
U. C. Gupta: Indian Institute of Technology

Methodology and Computing in Applied Probability, 2008, vol. 10, issue 4, 559-575

Abstract: 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.

Keywords: Batch Markovian service process; General independent arrival; Queue; Finite buffer; 60K25; 90B22; 68M20 (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11009-007-9064-0

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