Stochastic hybrid netcad systems for modeling call admission and routing control in networks

Zhongjing Ma*, Peter E. Caines, Roland Malhame

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)

Abstract

In this chapter a stochastic hybrid systems framework is established for the formulation of call admission control (CAC) and routing control (RC) problems in networks. The hybrid state process of the underlying system is a piecewise deterministic Markovian 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 resulting NETCAD stochastic state space systems framework permits the formulation and analysis of centralized optimal stochastic control with respect to specified utility functions. The NETCAD framework permits the formulation and analysis of centralized optimal stochastic control with respect to specified utility functions; in particular, this entails the derivation of the Hamilton-Jacobi-Bellman equation for optimally controlled NETCAD systems.

Original languageEnglish
Title of host publicationAnalysis and Design of Hybrid Systems 2006
PublisherElsevier Ltd.
Pages166-171
Number of pages6
ISBN (Print)9780080446134
DOIs
Publication statusPublished - 2006

Fingerprint

Dive into the research topics of 'Stochastic hybrid netcad systems for modeling call admission and routing control in networks'. Together they form a unique fingerprint.

Cite this

Ma, Z., Caines, P. E., & Malhame, R. (2006). Stochastic hybrid netcad systems for modeling call admission and routing control in networks. In Analysis and Design of Hybrid Systems 2006 (pp. 166-171). Elsevier Ltd.. https://doi.org/10.3182/20060607-3-it-3902.00032