General QBD processes with applications to overload control

Sung Ho Choi, Khosrow Sohraby, Bara Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publicationProceedings - IEEE INFOCOM
PublisherIEEE
Pages165-172
Number of pages8
Volume1
Publication statusPublished - 2000
Externally publishedYes
Event19th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM2000: 'Reaching the Promised Land of Communications' - Tel Aviv, Isr
Duration: 2000 Mar 262000 Mar 30

Other

Other19th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM2000: 'Reaching the Promised Land of Communications'
CityTel Aviv, Isr
Period00/3/2600/3/30

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ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

Cite this

Choi, S. H., Sohraby, K., & Kim, B. (2000). General QBD processes with applications to overload control. In Proceedings - IEEE INFOCOM (Vol. 1, pp. 165-172). IEEE.