Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations

S K Samanta (), U C Gupta and R K Sharma
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S K Samanta: Indian Institute of Technology
U C Gupta: Indian Institute of Technology
R K Sharma: Indian Institute of Technology

Journal of the Operational Research Society, 2007, vol. 58, issue 3, 368-377

Abstract: Abstract This paper investigates a discrete-time single-server finite-buffer queueing system with multiple vacations in which arrivals occur according to a discrete-time renewal process. Service and vacation times are mutually independent and geometrically distributed. We obtain steady-state system length distributions at prearrival, arbitrary and outside observer's observation epochs under the late arrival system with delayed access and early arrival system. The analysis of actual waiting-time for both the systems has also been carried out. The model has potential application in high-speed computer network, digital communication systems and other related areas.

Keywords: discrete-time; finite-buffer; queueing; multiple vacation (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1057/palgrave.jors.2602148

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