{"title":"An extended event graph with negative places and negative tokens for time window constraints","authors":"Tae-Eog Lee, Jeong-Won Seo, Seong-Ho Park","doi":"10.1109/WODES.2002.1167674","DOIUrl":null,"url":null,"abstract":"We introduce negative places and negative tokens into timed event graphs in order to model and analyze time window constraints. A negative token moves backward at an associated transition firing. We develop a necessary and sufficient condition, based on the circuits, for the event graph to be live. A sequence of feasible infinite firing epochs exists for each transition. We present a linear programming model for finding a stable firing schedule. We also characterize the minimal cycle time as a revised critical circuit ratio and the range of the feasible cycle times.","PeriodicalId":435263,"journal":{"name":"Sixth International Workshop on Discrete Event Systems, 2002. Proceedings.","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sixth International Workshop on Discrete Event Systems, 2002. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WODES.2002.1167674","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
We introduce negative places and negative tokens into timed event graphs in order to model and analyze time window constraints. A negative token moves backward at an associated transition firing. We develop a necessary and sufficient condition, based on the circuits, for the event graph to be live. A sequence of feasible infinite firing epochs exists for each transition. We present a linear programming model for finding a stable firing schedule. We also characterize the minimal cycle time as a revised critical circuit ratio and the range of the feasible cycle times.