{"title":"彩色Petri网的扩展","authors":"J. Billington","doi":"10.1109/PNPM.1989.68540","DOIUrl":null,"url":null,"abstract":"Jensen's colored Petri nets (CP-nets) are extended by including capacity and inhibitor functions. A class of extended CP-nets, known as P-nets, is defined that includes the capacity function and the threshold inhibitor extension. The inhibitor extension is defined in a totally symmetrical way to the usual pre-place map (or incidence function). Two transformations from P-nets to CP-nets are presented and it is proved that they preserve interleaving behavior. The transformations are based on the notion of complementary places defined for place/transition-nets and involve the definition and proof of a new extended complementary place invariant for CP-nets.<<ETX>>","PeriodicalId":366060,"journal":{"name":"Proceedings of the Third International Workshop on Petri Nets and Performance Models, PNPM89","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"26","resultStr":"{\"title\":\"Extensions to coloured Petri nets\",\"authors\":\"J. Billington\",\"doi\":\"10.1109/PNPM.1989.68540\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Jensen's colored Petri nets (CP-nets) are extended by including capacity and inhibitor functions. A class of extended CP-nets, known as P-nets, is defined that includes the capacity function and the threshold inhibitor extension. The inhibitor extension is defined in a totally symmetrical way to the usual pre-place map (or incidence function). Two transformations from P-nets to CP-nets are presented and it is proved that they preserve interleaving behavior. The transformations are based on the notion of complementary places defined for place/transition-nets and involve the definition and proof of a new extended complementary place invariant for CP-nets.<<ETX>>\",\"PeriodicalId\":366060,\"journal\":{\"name\":\"Proceedings of the Third International Workshop on Petri Nets and Performance Models, PNPM89\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"26\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Third International Workshop on Petri Nets and Performance Models, PNPM89\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PNPM.1989.68540\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Third International Workshop on Petri Nets and Performance Models, PNPM89","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PNPM.1989.68540","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Jensen's colored Petri nets (CP-nets) are extended by including capacity and inhibitor functions. A class of extended CP-nets, known as P-nets, is defined that includes the capacity function and the threshold inhibitor extension. The inhibitor extension is defined in a totally symmetrical way to the usual pre-place map (or incidence function). Two transformations from P-nets to CP-nets are presented and it is proved that they preserve interleaving behavior. The transformations are based on the notion of complementary places defined for place/transition-nets and involve the definition and proof of a new extended complementary place invariant for CP-nets.<>