計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
タイム・マークグラフの可到達性と発火実行アルゴリズム
大塚 浩仁久村 富持
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ジャーナル フリー

1985 年 21 巻 9 号 p. 893-899

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The reachability problem of a marked graph (MG), an important subclass of Petri net, is extended to that of a time marked graph (TMG), in which each transition has a processing time to reflect a time dependency of a real dynamical system. Notions of stationary and transient markings are newly defined to describe this problem strictly, and necessary and sufficient conditions for the reachability of TMG are derived by transforming this problem to an equivalent submarking reachability problem. An executing algorithm for the firing sequence is also shown with an illustrating example.
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