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Liveness and boundedness analysis of Petri net synthesis†

Published online by Cambridge University Press:  04 September 2014

CHUANLIANG XIA
CHUANLIANG XIA*
Affiliation:
School of Computer Science and Technology, Shandong Jianzhu University, Jinan, China State Key Laboratory of Computer Science, Institute of Software, Academy of Sciences, Beijing, China Email: chuanliang_xia@sdjzu.edu.cn
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Abstract

We provide motivation for and then study the synthesis of Petri nets. Synthesis can avoid the state exploration problem by guaranteeing correctness for the Petri net. We propose conditions to be imposed on a synthesis shared pb-type subnet for systems specified in Petri nets that ensure the preservation of the liveness and boundedness structural properties. Specifically, we propose a group of sufficient conditions, or both sufficient and necessary conditions, for liveness preservation and boundedness preservation. Possible applications of this synthesis method are illustrated through an example in the form of a flexible manufacturing system. These results are useful for studying the static and dynamic properties of Petri nets for analysing the properties of large complex systems.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 24 , Special Issue 5: Mathematical Method in Intelligent Computing and Automation , October 2014 , e240514
Copyright
Copyright © Cambridge University Press 2014 

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Footnotes

†

This work was financially supported by the National Natural Science Foundation of China under Grant Numbers 60573012, 60672180 and 60721061, the National Grand Fundamental Research 973 Program of China under Grant Number 2002cb312200, and CAS Key Laboratory of Computer Sciences (SYSKF0903).

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