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Zbl 1134.93414
Hou, Zhenting; Li, Xiaohua
Ergodicity of quasi-birth and death processes. II. (Chinese, English)
[J] Chin. Ann. Math., Ser. A 26, No. 2, 181-192 (2005); translation in Chin. J. Contemp. Math. 26, No. 2, 145-156 (2005). ISSN 1000-8314

Summary: As a continuation of Part I [Acta Math. Sin., Engl. Ser. 23, No. 2, 201--208 (2007; Zbl 1113.93103)], this paper studies continuous time quasi-birth-and-death processes. Explicit necessary and sufficient conditions of $l$-ergodicity, geometric ergodicity for such quasi-birth-and-death processes are obtained and the authors prove that they are neither uniformly polynomial ergodicity nor strong ergodicity.

MSC 2000:: *93E15 Stochastic stability
60K25 Queueing theory
90B22 Queues and service

Citations: Zbl 1113.93103

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