{"title":"一种渐近最优并行装箱算法","authors":"N. S. Coleman, Pearl Y. Wang","doi":"10.1109/FMPC.1992.234866","DOIUrl":null,"url":null,"abstract":"The authors introduce a bin-packing heuristic that is well-suited for implementation on massively parallel SIMD (single-instruction multiple-data) or MIMD (multiple-instruction multiple-data) computing systems. The average-case behavior (and the variance) of the packing technique can be predicted when the input data have a symmetric distribution. The method is asymptotically optimal, yields perfect packings, and achieves the best possible average case behavior with high probability. The analytical result improves upon any online algorithms previously reported in the literature and is identical to the best results reported so far for offline algorithms.<<ETX>>","PeriodicalId":117789,"journal":{"name":"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"An asymptotically optimal parallel bin-packing algorithm\",\"authors\":\"N. S. Coleman, Pearl Y. Wang\",\"doi\":\"10.1109/FMPC.1992.234866\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors introduce a bin-packing heuristic that is well-suited for implementation on massively parallel SIMD (single-instruction multiple-data) or MIMD (multiple-instruction multiple-data) computing systems. The average-case behavior (and the variance) of the packing technique can be predicted when the input data have a symmetric distribution. The method is asymptotically optimal, yields perfect packings, and achieves the best possible average case behavior with high probability. The analytical result improves upon any online algorithms previously reported in the literature and is identical to the best results reported so far for offline algorithms.<<ETX>>\",\"PeriodicalId\":117789,\"journal\":{\"name\":\"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FMPC.1992.234866\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMPC.1992.234866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An asymptotically optimal parallel bin-packing algorithm
The authors introduce a bin-packing heuristic that is well-suited for implementation on massively parallel SIMD (single-instruction multiple-data) or MIMD (multiple-instruction multiple-data) computing systems. The average-case behavior (and the variance) of the packing technique can be predicted when the input data have a symmetric distribution. The method is asymptotically optimal, yields perfect packings, and achieves the best possible average case behavior with high probability. The analytical result improves upon any online algorithms previously reported in the literature and is identical to the best results reported so far for offline algorithms.<>