On monotonicity and continuity: computing problematic configurations in timed continuous Petri nets
Manuel Navarro‐Gutiérrez, Antonio Ramírez‐Treviño, Manuel Silva · IFAC-PapersOnLine · 2018
This work is concerned with the computation of problematic configurations in timed continuous Petri nets under the infinite server semantics. Those net structural objects are related to possible bad/paradoxical behaviors of systems, such as non-monotonicities and discontinuities of the equilibrium throughput. The calculation of problematic configurations is a computationally complex task because their number grows exponentially with the input cardinality of join transitions. This work introduces a branch and bound type algorithm to perform such computation and, as an improvement of the calculation, it proposes to reduce the net into a smaller one using three different types of reduction rules that preserve the set of problematic configurations. The transformed net system allows to better understand why undesired behaviors may appear.