Stochastic control of network systems II: NETCAD optimal control & the HJB equation

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

The centralized optimal stochastic control of call admission (CAC) and routing (RC) problems is analysed for NETCAD systems as formulated in [6]. In the principal result an HJB equation is derived for the optimal stochastic control of NETCAD systems; this equation is equivalent to a hierarchy of HJB PDEs linked by integral coefficients. In the main example this system of equations is solved for a very simple network with a Poisson call request process and an exponential connection holding time process.

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3236-3241
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

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