{"title":"fpga可达性分析的数学模型","authors":"D. Bhatia, Amit Chowdhary, S. Tragoudas","doi":"10.1109/GLSV.1994.289992","DOIUrl":null,"url":null,"abstract":"We have developed a mathematical model for estimating the probability of routing on an electrically programmable logic cell array (LGA). Using the model the variation of the routability or the probability of routing with the average span of the nets, and flexibility of programming resources is determined. The results obtained from the model have been verified experimentally. As expected, the routability also increases when the number of programming elements is increased. We also show a three dimensional relationship between routability, placement, and programming flexibility. Our results show a strong relationship between module placement and the routability for an LCA.<<ETX>>","PeriodicalId":330584,"journal":{"name":"Proceedings of 4th Great Lakes Symposium on VLSI","volume":"88 12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematical model for routability analysis of FPGAs\",\"authors\":\"D. Bhatia, Amit Chowdhary, S. Tragoudas\",\"doi\":\"10.1109/GLSV.1994.289992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We have developed a mathematical model for estimating the probability of routing on an electrically programmable logic cell array (LGA). Using the model the variation of the routability or the probability of routing with the average span of the nets, and flexibility of programming resources is determined. The results obtained from the model have been verified experimentally. As expected, the routability also increases when the number of programming elements is increased. We also show a three dimensional relationship between routability, placement, and programming flexibility. Our results show a strong relationship between module placement and the routability for an LCA.<<ETX>>\",\"PeriodicalId\":330584,\"journal\":{\"name\":\"Proceedings of 4th Great Lakes Symposium on VLSI\",\"volume\":\"88 12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 4th Great Lakes Symposium on VLSI\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GLSV.1994.289992\",\"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 of 4th Great Lakes Symposium on VLSI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GLSV.1994.289992","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical model for routability analysis of FPGAs
We have developed a mathematical model for estimating the probability of routing on an electrically programmable logic cell array (LGA). Using the model the variation of the routability or the probability of routing with the average span of the nets, and flexibility of programming resources is determined. The results obtained from the model have been verified experimentally. As expected, the routability also increases when the number of programming elements is increased. We also show a three dimensional relationship between routability, placement, and programming flexibility. Our results show a strong relationship between module placement and the routability for an LCA.<>
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