On the ergodicity of nonhomogeneous birth and death processes
Journal Article
·
· Journal of Mathematical Sciences
The ergodicity of continuous-time nonhomogeneous Markov chains is considered in many investigations (see, for example, [1-4]). The ergodicity of the birth and death process with asymptotically proportional intensities for the queue M(t)/M(t)/N/0 has been studied by D.B. Gnedenko [5]. In this paper we consider general birth and death processes of this type; moreover, we obtain estimates for the rate of convergence to a stationary regime. We note that for a birth and death process with a finite number of states, the asymptotic proportionality of the intensities in a certain integral sense is also necessary for ergodicity (see [4]).
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 412018
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 1 Vol. 72; ISSN 1072-1964; ISSN JMTSEW
- Country of Publication:
- United States
- Language:
- English
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