一种渐近最优并行装箱算法

N. S. Coleman, Pearl Y. Wang
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引用次数: 3

摘要

作者介绍了一种非常适合在大规模并行SIMD(单指令多数据)或MIMD(多指令多数据)计算系统上实现的装箱启发式算法。当输入数据具有对称分布时,可以预测打包技术的平均情况行为(和方差)。该方法是渐近最优的,可以得到完美的包装,并以高概率获得最佳的平均情况行为。分析结果改进了以前在文献中报道的任何在线算法,并且与迄今为止报道的离线算法的最佳结果相同。
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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.<>
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