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  • 标题:On monotonicity and continuity: computing problematic configurations in timed continuous Petri nets
  • 本地全文:下载
  • 作者:Manuel Navarro-Gutiérrez ; Antonio Ramírez-Treviño ; Manuel Silva
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:7
  • 页码:493-500
  • DOI:10.1016/j.ifacol.2018.06.345
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis 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.
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