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 proceedingConference contributionpeer-review

Abstract

In this paper 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 [3,8,10,11].

Original languageEnglish
Title of host publicationPreprints - ADHS'06
Subtitle of host publication2nd IFAC Conference on Analysis and Design of Hybrid Systems
Pages166-171
Number of pages6
EditionPART 1
Publication statusPublished - 2006
Event2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'06 - Alghero, Italy
Duration: 7 Jun 20069 Jun 2006

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume2
ISSN (Print)1474-6670

Conference

Conference2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'06
Country/TerritoryItaly
CityAlghero
Period7/06/069/06/06

Keywords

  • Call admission control
  • Piecewise deterministic markovian processes
  • Point processes
  • Routing control
  • Stochastic hybrid systems

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Ma, Z., Caines, P. E., & Malhame, R. (2006). Stochastic hybrid netcad systems for modeling call admission and routing control in networks. In Preprints - ADHS'06: 2nd IFAC Conference on Analysis and Design of Hybrid Systems (PART 1 ed., pp. 166-171). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 2, No. PART 1).