Object structure

Creator:

Clempner, Julio

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

A hierarchical decomposition of decision process petri nets for modeling complex systems

Group publication title:

AMCS, Volume 20 (2010)

Subject and Keywords:

hierarchy ; decomposition ; structuring mechanisms ; re-usable components ; decision process ; DPPN ; stability ; Lyapunov methods ; optimization

Abstract:

We provide a framework for hierarchical specification called Hierarchical Decision Process Petri Nets (HDPPNs). It is an extension of Decision Process Petri Nets (DPPNs) including a hierarchical decomposition process that generates less complex nets with equivalent behavior. As a result, the complexity of the analysis for a sophisticated system is drastically reduced. In the HDPPN, we represent the mark-dynamic and trajectory-dynamic properties of a DPPN. ; Within the framework of the mark-dynamic properties, we show that the HDPPN theoretic notions of (local and global) equilibrium and stability are those of the DPPN. As a result in the trajectory-dynamic properties framework, we obtain equivalent characterizations of that of the DPPN for final decision points and stability. We show that the HDPPN mark-dynamic and trajectory-dynamic properties of equilibrium, stability and final decision points coincide under some restrictions. We propose an algorithm for optimum hierarchical trajectory planning. The hierarchical decomposition process is presented under a formal treatment and is illustrated with application examples.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2010

Resource Type:

artykuł

DOI:

10.2478/v10006-010-0026-2

Pages:

349-366

Source:

AMCS, Volume 20, Number 2 (2010) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego