{"title":"具有任意发布日期和模糊到期日的单机抢占调度问题","authors":"Xie Yuan, L. Ou","doi":"10.1109/CCCM.2009.5267472","DOIUrl":null,"url":null,"abstract":"Preemptive scheduling problem of a single machine subject to arbitrary release dates under uncertain situation is discussed. The release dates of jobs are independence and different with each other. Uncertainty means due dates are not accurate, which can be described by fuzzy set. The memberships of fuzzy due dates denote grade of satisfaction of completion times of corresponding jobs. The objective of the problem is to find an optimal schedule which maximizes the minimal grade of satisfaction of jobs completion times with respect to fuzzy due dates. By extending the method of corresponding problem with accurate due dates into fuzzy situation for the problem, an O(n2) algorithm is presented.","PeriodicalId":268670,"journal":{"name":"2009 ISECS International Colloquium on Computing, Communication, Control, and Management","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A single machine preemptive scheduling problem with arbitrary release dates and fuzzy due dates\",\"authors\":\"Xie Yuan, L. Ou\",\"doi\":\"10.1109/CCCM.2009.5267472\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Preemptive scheduling problem of a single machine subject to arbitrary release dates under uncertain situation is discussed. The release dates of jobs are independence and different with each other. Uncertainty means due dates are not accurate, which can be described by fuzzy set. The memberships of fuzzy due dates denote grade of satisfaction of completion times of corresponding jobs. The objective of the problem is to find an optimal schedule which maximizes the minimal grade of satisfaction of jobs completion times with respect to fuzzy due dates. By extending the method of corresponding problem with accurate due dates into fuzzy situation for the problem, an O(n2) algorithm is presented.\",\"PeriodicalId\":268670,\"journal\":{\"name\":\"2009 ISECS International Colloquium on Computing, Communication, Control, and Management\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 ISECS International Colloquium on Computing, Communication, Control, and Management\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCCM.2009.5267472\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 ISECS International Colloquium on Computing, Communication, Control, and Management","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCCM.2009.5267472","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A single machine preemptive scheduling problem with arbitrary release dates and fuzzy due dates
Preemptive scheduling problem of a single machine subject to arbitrary release dates under uncertain situation is discussed. The release dates of jobs are independence and different with each other. Uncertainty means due dates are not accurate, which can be described by fuzzy set. The memberships of fuzzy due dates denote grade of satisfaction of completion times of corresponding jobs. The objective of the problem is to find an optimal schedule which maximizes the minimal grade of satisfaction of jobs completion times with respect to fuzzy due dates. By extending the method of corresponding problem with accurate due dates into fuzzy situation for the problem, an O(n2) algorithm is presented.