{"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}
引用次数: 100
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.<>
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