Optimal control policy for a well-known S3PR

It has been a hot research topic to compare the effectiveness of new control policies by testing against a well-known S 3 PR model. So far, only the control policy by Piroddi et al. may reach the optimal number of states among all approaches for a well-known benchmark using a siphon-based approach....

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Bibliographic Details
Published inIECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society pp. 2174 - 2177
Main Authors Chao, D Y, Jiun-Ting Chen, Kuo-Chiang Wu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2010
Subjects
Analytical models
Chaos
control
Manufacturing systems
Monitoring
Petri nets
Process control
S3PR
siphons
System recovery
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Summary:It has been a hot research topic to compare the effectiveness of new control policies by testing against a well-known S 3 PR model. So far, only the control policy by Piroddi et al. may reach the optimal number of states among all approaches for a well-known benchmark using a siphon-based approach. The resulting model is a generalized Petri net since some control arcs are weighted, which complicates the system. The only improvement that can be made is to reduce the number of control arcs (by 3), and the number of weighted control arcs (by 9) as we report in this paper. Also the token count is reduced. This is achieved by replacing two monitors with weighted arcs by two new monitors without weighted arcs. INA (Integrated Net Analyzer) analysis indicates that the resulting controlled model is live and reaches the same 21581 states by Piroddi et al. We develop a formal theory for explaining the cause of state losses and providing the foundation for the above improvement model.
ISBN:9781424452255
1424452252
ISSN:1553-572X
DOI:10.1109/IECON.2010.5675044