{"title":"广义随机Petri网消去消失标记的代价","authors":"A. Blakemore","doi":"10.1109/PNPM.1989.68542","DOIUrl":null,"url":null,"abstract":"A generalized stochastic Petri net can be analyzed by studying the reachability graph of feasible markings. An examination is made of the problem of eliminating vanishing states during the solution of a generalized stochastic Petri net. The asymptotic complexity of a matrix-based algorithm is shown to grow quadratically with the number of tangible states. A simpler graph-based algorithm that executes much more rapidly on typical models is examined. Some alternatives to elimination are discussed.<<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":"25","resultStr":"{\"title\":\"The cost of eliminating vanishing markings from generalized stochastic Petri nets\",\"authors\":\"A. Blakemore\",\"doi\":\"10.1109/PNPM.1989.68542\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A generalized stochastic Petri net can be analyzed by studying the reachability graph of feasible markings. An examination is made of the problem of eliminating vanishing states during the solution of a generalized stochastic Petri net. The asymptotic complexity of a matrix-based algorithm is shown to grow quadratically with the number of tangible states. A simpler graph-based algorithm that executes much more rapidly on typical models is examined. Some alternatives to elimination are discussed.<<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\":\"25\",\"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.1989.68542\",\"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.1989.68542","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The cost of eliminating vanishing markings from generalized stochastic Petri nets
A generalized stochastic Petri net can be analyzed by studying the reachability graph of feasible markings. An examination is made of the problem of eliminating vanishing states during the solution of a generalized stochastic Petri net. The asymptotic complexity of a matrix-based algorithm is shown to grow quadratically with the number of tangible states. A simpler graph-based algorithm that executes much more rapidly on typical models is examined. Some alternatives to elimination are discussed.<>