{"title":"优先约束和任务:有多少个任务排序?","authors":"J. M. Miller, G. Stockman","doi":"10.1109/ICSYSE.1990.203183","DOIUrl":null,"url":null,"abstract":"An improved algorithm for determining the number of task orderings for a set of tasks and precedence constraints is presented. Precedence graphs are used to represent the tasks and constraints. A subgraph replacement strategy acts as an oracle in determining the exact number of task orderings for a class of NX-fold graphs. For non-NX-fold graphs the oracle computes, in low-order polynomial time, bounds on the number of orders","PeriodicalId":259801,"journal":{"name":"1990 IEEE International Conference on Systems Engineering","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Precedence constraints and tasks: how many task orderings?\",\"authors\":\"J. M. Miller, G. Stockman\",\"doi\":\"10.1109/ICSYSE.1990.203183\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An improved algorithm for determining the number of task orderings for a set of tasks and precedence constraints is presented. Precedence graphs are used to represent the tasks and constraints. A subgraph replacement strategy acts as an oracle in determining the exact number of task orderings for a class of NX-fold graphs. For non-NX-fold graphs the oracle computes, in low-order polynomial time, bounds on the number of orders\",\"PeriodicalId\":259801,\"journal\":{\"name\":\"1990 IEEE International Conference on Systems Engineering\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1990 IEEE International Conference on Systems Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSYSE.1990.203183\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 IEEE International Conference on Systems Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSYSE.1990.203183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Precedence constraints and tasks: how many task orderings?
An improved algorithm for determining the number of task orderings for a set of tasks and precedence constraints is presented. Precedence graphs are used to represent the tasks and constraints. A subgraph replacement strategy acts as an oracle in determining the exact number of task orderings for a class of NX-fold graphs. For non-NX-fold graphs the oracle computes, in low-order polynomial time, bounds on the number of orders