A note on the subexponential asymptotics of the stationary distribution of M/G/1 type Markov chains

Bara Kim and Jeongsim Kim

European Journal of Operational Research, 2012, vol. 220, issue 1, 132-134

Abstract: Masuyama (2011) obtained the subexponential asymptotics of the stationary distribution of an M/G/1 type Markov chain under the assumption related to the periodic structure of G-matrix. In this note, we improve Masuyama’s result by showing that the subexponential asymptotics holds without the assumption related to the periodic structure of G-matrix.

Keywords: Queueing; M/G/1 type Markov chain; Subexponential asymptotics; Stationary distribution (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:220:y:2012:i:1:p:132-134

DOI: 10.1016/j.ejor.2012.01.016

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