{"title":"竞争马尔可夫链的独立性表征及其在随机Petri网中的应用","authors":"R. Boucherie","doi":"10.1109/PNPM.1993.393429","DOIUrl":null,"url":null,"abstract":"It is shown that recently obtained product form results for stochastic Petri nets can immediately be obtained as a special case of a simple exclusion mechanism for the product process of a collection of Markov chains. The model is described, and several examples of exclusion/competition mechanisms that can be modeled in the framework of this paper are given.<<ETX>>","PeriodicalId":404832,"journal":{"name":"Proceedings of 5th International Workshop on Petri Nets and Performance Models","volume":"158 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"100","resultStr":"{\"title\":\"A characterization of independence for competing Markov chains with applications to stochastic Petri nets\",\"authors\":\"R. Boucherie\",\"doi\":\"10.1109/PNPM.1993.393429\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that recently obtained product form results for stochastic Petri nets can immediately be obtained as a special case of a simple exclusion mechanism for the product process of a collection of Markov chains. The model is described, and several examples of exclusion/competition mechanisms that can be modeled in the framework of this paper are given.<<ETX>>\",\"PeriodicalId\":404832,\"journal\":{\"name\":\"Proceedings of 5th International Workshop on Petri Nets and Performance Models\",\"volume\":\"158 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"100\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 5th International Workshop on Petri Nets and Performance Models\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PNPM.1993.393429\",\"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 5th International Workshop on Petri Nets and Performance Models","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PNPM.1993.393429","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A characterization of independence for competing Markov chains with applications to stochastic Petri nets
It is shown that recently obtained product form results for stochastic Petri nets can immediately be obtained as a special case of a simple exclusion mechanism for the product process of a collection of Markov chains. The model is described, and several examples of exclusion/competition mechanisms that can be modeled in the framework of this paper are given.<>