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    政大機構典藏 > 商學院 > 資訊管理學系 > 期刊論文 >  Item 140.119/69726
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/69726


    Title: A Necessary and Sufficient Condition for the Liveness of Normal Nets
    Authors: 趙玉
    Liu, GuanJun;Jiang, ChangJun;Chao, Daniel Y.
    Contributors: 資管系
    Keywords: Petri nets;normal nets;weakly persistent nets liveness;structural repetitiveness;siphons
    Date: 2011.01
    Issue Date: 2014-09-10 15:43:04 (UTC+8)
    Abstract: This paper gives a necessary and sufficient condition for the liveness of normal nets, i.e. a normal net with a given initial marking is live if and only if it is structurally repetitive and each minimal siphon is marked in any reachable marking. Furthermore, it is proved that a normal net is structurally live if and only if it is structurally repetitive. Finally, we prove that a weakly persistent net, which is a special normal net, is live for a given initial marking if and only if it is structurally repetitive and each minimal siphon is marked in the initial marking. That is to say, the liveness of weakly persistent nets can be decided by the net structure and the initial marking only.
    Relation: Computer Journal Volume 54, Issue 1 pp. 157-163
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1093/comjnl/bxp118
    DOI: 10.1093/comjnl/bxp118
    Appears in Collections:[資訊管理學系] 期刊論文

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