Abstract
In this paper we introduce a general class of level dependent Quasi-Birth-and-Death (QBD) processes and their stationary solution. We obtain the complete characterization of their fundamental matrices in terms of minimal non-negative solution of number of matrix quadratic equations. Our results will provide mixed-geometric solution for the stationary solution of level dependent chains. Applications in overload control in communication networks are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 165-172 |
| Number of pages | 8 |
| Journal | Proceedings - IEEE INFOCOM |
| Volume | 1 |
| Publication status | Published - 2000 |
| Externally published | Yes |
| Event | 19th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM2000: 'Reaching the Promised Land of Communications' - Tel Aviv, Isr Duration: 2000 Mar 26 → 2000 Mar 30 |
ASJC Scopus subject areas
- Computer Science(all)
- Electrical and Electronic Engineering