Minimal Time Reachability Problem of Some Subclasses of Timed Petri Nets
Akinori Ohta, Kohkichi Tsuji, Tomiji Hisamura
Abstract
Akinori Ohta, Kohkichi Tsuji, Tomiji Hisamura
Abstract
Timed Petri net is an effective tool to evaluate discrete event systems. This paper treats the reachability problem of timed Petri nets. The problem aims to find the firing sequence which drives the initial marking M/sub 0/ to the target marking M/sub f/ in minimal execution time. First, we consider the subclass in which non-delayed sequence gives the optimal solution. Then, an algorithm is proposed to solve the minimal time reachability problem of timed state machines.
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Timed Petri net is an effective tool to evaluate discrete event systems. This paper treats the reachability problem of timed Petri nets. The problem aims to find the firing sequence which drives the initial marking M/sub 0/ to the target marking M/sub f/ in minimal execution time. First, we consider the subclass in which non-delayed sequence gives the optimal solution. Then, an algorithm is proposed to solve the minimal time reachability problem of timed state machines.
Key concepts: Reachability, Petri net, Reachability problem, Computer science, Sequence (biology), Stochastic Petri net, State (computer science), Event (particle physics)