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Loss probability in an overloaded discrete-time GI/G/1/K system with very large K
Authors:Attahiru Sule Alfa
Institution:Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, Canada R3T 5V6
Abstract:We present a simple semi-explicit formula for estimating the loss probability in a discrete-time GI/G/1/K system (with large K) which is operating under an overload condition. The method relaxes the lower boundary and then studies the upper boundary only. The idea is extended to the GIX/G/1/K system.
Keywords:Loss probability  Finite buffer  Overloaded queue  Matrix-analytic method  Quasi-birth-and-death process  Discrete phase type distribution
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