Some Bounds for Almost Absorbing Birth and Death Processes with Catastrophes
| Data(s) |
23/01/2014
23/01/2014
2009
|
|---|---|
| Resumo |
2000 Mathematics Subject Classification: 60J27. We consider nonstationary almost absorbing birth and death processes (BDPs) with catastrophes. The bounds of the rate of convergence to the limit regime and the estimates of the limit probabilities are obtained. We also study the bounds for the mean of the process and consider a queuing example. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 19, No 1, (2009), 293p-306p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #birth and dead processe with catastrophes #the rate of convergence #bounds for the mean |
| Tipo |
Article |
