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Hypergraph partitioning with fixed vertices [VLSI CAD]

机译:具有固定顶点的超图分割[VLSI CAD]

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We empirically assess the implications of fixed terminals for hypergraph partitioning heuristics. Our experimental testbed incorporates a leading-edge multilevel hypergraph partitioner and IBM-internal circuits that have recently been released as part of the ISPD-98 Benchmark Suite. We find that the presence of fixed terminals can make a partitioning instance considerably easier (possibly to the point of being "trivial"); much less effort is needed to stably reach solution qualities that are near best-achievable. Toward development of partitioning heuristics specific to the fixed-terminals regime, we study the pass statistics of flat FM-based partitioning heuristics. Our data suggest that more fixed terminals implies that the improvements within a pass will more likely occur near the beginning of the pass. Restricting the length of passes-which degrades solution quality in the classic (free-hypergraph) context-is relatively safe for the fixed-terminals regime and considerably reduces the run times of our FM-based heuristic implementations. The distinct nature of partitioning in the fixed-terminals regime has deep implications: (1) for the design and use of partitioners in top-down placement; (2) for the context in which VLSI hypergraph partitioning research is pursued; and (3) for the development of new benchmark instances for the research community.
机译:我们根据经验评估固定终端对超图分区启发式方法的影响。我们的实验测试台结合了最新的多级超图分区程序和IBM内部电路,这些电路最近已作为ISPD-98 Benchmark Suite的一部分发布。我们发现固定终端的存在可以使分区实例变得更加容易(可能达到“琐碎”的程度)。要稳定地达到接近最佳质量的解决方案质量,所需的工作量要少得多。为了发展特定于固定终端的分区启发式算法,我们研究了基于平面FM的分区启发式算法的通过统计。我们的数据表明,固定终端越多,则通行证内的改进更有可能在通行证开始时发生。限制通过的长度(这会降低经典(免费的超图)环境中的解决方案质量)对于固定终端体制而言是相对安全的,并且大大减少了基于FM的启发式实现的运行时间。固定终端系统中分区的独特性质具有深远的意义:(1)自上而下放置分区的设计和使用; (2)针对进行VLSI超图分割研究的背景; (3)为研究界开发新的基准实例。

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