General QBD Processes with Applications to Overload Control
نویسندگان
چکیده
In this paper we introduce a general class of level dependent Quasi-Birth-and-Death (QBD) processes and their stationary solution. We obtain the complete characterization of their fundamental matrices in terms of minimal non-negative solution of number of matrix quadratic equations. Our results will provide mixed-geometric solution for the stationary solution of level dependent chains. Applications in overload control in communication networks are also discussed. Keywords—Performance Analysis, Level Dependent QBD Process, Overload Control, Matrix Geometric Solution
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