Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations |
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Authors: | S K Samanta U C Gupta R K Sharma |
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Affiliation: | 1.Indian Institute of Technology,Kharagpur,India;2.Indian Institute of Technology,New Delhi,India |
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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. |
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