Stochastic control of network systems I: NETCAD state space structure & dynamics

Zhongjing Ma*, Peter E. Caines, Roland P. Malhamé

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

A stochastic systems framework is established for the formulation of call admission control (CAC) and routing control (RC) problems in loss networks. The state process of the underlying system is a piecewise deterministic Markov process (PDMP) evolving deterministically between random event instants at which times the state jumps to another state value. The random events in the system correspond to the arrival of call requests or the departure of connections. The system state process is hybrid since it possesses positive integer and positive real valued components. The resulting NETCAD stochastic state space systems framework permits the formulation and analysis of centralized optimal stochastic control with respect to specified utility functions, see [5].

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2577-2582
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 13 Dec 200615 Dec 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period13/12/0615/12/06

Fingerprint

Dive into the research topics of 'Stochastic control of network systems I: NETCAD state space structure & dynamics'. Together they form a unique fingerprint.

Cite this

Ma, Z., Caines, P. E., & Malhamé, R. P. (2006). Stochastic control of network systems I: NETCAD state space structure & dynamics. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 2577-2582). Article 4177676 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377002