{"title":"一般的非近似性导致分层通信的存在","authors":"R. Giroudeau, J. König","doi":"10.1109/ISPDC.2004.27","DOIUrl":null,"url":null,"abstract":"We investigate the problem of minimizing the makespan (resp. the sum of the completion time) for the multiprocessor scheduling problem in presence of hierarchical communications. We consider a model with two levels of communication: interprocessor and intercluster. The processors are grouped in connected clusters. We propose general non-approximability results for the case where all the tasks of the precedence graph have unit execution times, where the multiprocessor is composed of an unrestricted number of machines with /spl lscr/ /spl ges/ 4 identical processors each.","PeriodicalId":62714,"journal":{"name":"骈文研究","volume":"42 1","pages":"312-319"},"PeriodicalIF":0.0000,"publicationDate":"2004-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"General non-approximability results in presence of hierarchical communications\",\"authors\":\"R. Giroudeau, J. König\",\"doi\":\"10.1109/ISPDC.2004.27\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the problem of minimizing the makespan (resp. the sum of the completion time) for the multiprocessor scheduling problem in presence of hierarchical communications. We consider a model with two levels of communication: interprocessor and intercluster. The processors are grouped in connected clusters. We propose general non-approximability results for the case where all the tasks of the precedence graph have unit execution times, where the multiprocessor is composed of an unrestricted number of machines with /spl lscr/ /spl ges/ 4 identical processors each.\",\"PeriodicalId\":62714,\"journal\":{\"name\":\"骈文研究\",\"volume\":\"42 1\",\"pages\":\"312-319\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"骈文研究\",\"FirstCategoryId\":\"1092\",\"ListUrlMain\":\"https://doi.org/10.1109/ISPDC.2004.27\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"骈文研究","FirstCategoryId":"1092","ListUrlMain":"https://doi.org/10.1109/ISPDC.2004.27","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General non-approximability results in presence of hierarchical communications
We investigate the problem of minimizing the makespan (resp. the sum of the completion time) for the multiprocessor scheduling problem in presence of hierarchical communications. We consider a model with two levels of communication: interprocessor and intercluster. The processors are grouped in connected clusters. We propose general non-approximability results for the case where all the tasks of the precedence graph have unit execution times, where the multiprocessor is composed of an unrestricted number of machines with /spl lscr/ /spl ges/ 4 identical processors each.
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