- Tytuł:
- A hierarchical decomposition of decision process Petri nets for modeling complex systems
- Autorzy:
- Clempner, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/907753.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
hierarchia
rozkład
składnik wielokrotnego użycia
proces decyzyjny
stabilność
optymalizacja
metoda Lyapunova
DPPN
hierarchy
decomposition
structuring mechanisms
re-usable components
decision process
stability
Lyapunov methods
optimization - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 349-366
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł