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Ergodicity of quasi-birth and death processes. II. (Chinese; English) Zbl 1134.93414
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:
93E15Stochastic stability
60K25Queueing theory
90B22Queues and service (optimization)