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- W2006367632 abstract "Abstract In this paper, we present sufficient conditions, under which the stationary probability vector of a QBD process with both infinite levels and phases decays geometrically, characterized by the convergence norm η and the 1/η-left-invariant vector x of the rate matrix R. We also present a method to compute η and x based on spectral properties of the censored matrix of a matrix function constructed with the repeating blocks of the transition matrix of the QBD process. What makes this method attractive is its simplicity; finding η reduces to determining the zeros of a polynomial. We demonstrate the application of our method through a few interesting examples." @default.
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- W2006367632 date "2005-02-09" @default.
- W2006367632 modified "2023-09-30" @default.
- W2006367632 title "SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES" @default.
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- W2006367632 doi "https://doi.org/10.1081/stm-200046489" @default.
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