Verifying Time Petri Nets by Linear Programming

  • Authors:
  • Xuandong Li;Johan Lilius

  • Affiliations:
  • -;-

  • Venue:
  • Verifying Time Petri Nets by Linear Programming
  • Year:
  • 1999

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Abstract

We propose an approach for solving some verification problems of time Petri nets using linear programming. The approach is based on the observation that for loop-closed time Petri nets, it is only necessary to investigate a finite prefix of an untimed run of the underlying Petri net. Using the technique we give solutions to the following problems: reachability, bounded delay timing analysis, and satisfication of linear duration properties. For all three problems we give algorithms that are decision procedures for loop-closed time Petri nets, and semi-decision procedures for general time Petri nets.