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It has been a hot research topic to compare the effectiveness of new control policies by testing against a well-known S3PR 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...
Siphon-based control suffers from the problem that the number of problematic siphons grows quickly with the size of the system. To reduce the number of monitors, Li and Zhou proposed to divide problematic siphons into elementary and dependent ones. Monitors are added only for elementary siphons; the number of which grows linearly. They adjust the control depth variable for a dependent siphon, if the...
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