n皇后问题的并行模拟退火

R. Shonkwiler, Farzad Ghannadian, C. Alford
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引用次数: 5

摘要

将并行模拟退火方法IIP应用于n皇后问题。通过这种方法,可以独立地并行运行多个相同的单进程算法副本。这种技术提供了超线性的加速,在某些情况下,仅使用8个处理器就可以达到50的量级。即使只有4个处理器,解决方案的收敛性也超过了99.96%。此外,由于所得的齐次马尔可夫链可用于Perron-Frobenius分析,因此将模拟退火与自身的恒温版本进行了比较。这两种算法的执行类似
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Parallel simulated annealing for the n-queen problem
A parallel simulated annealing method, IIP, is applied to the n-queen problem. By this method, identical multiple copies of the single process algorithm are independently run in parallel. This technique gives superlinear speedup, in some cases on the order of 50 using only 8 processors. Convergence to the solution exceeds 99.96% for as few as 4 processors. In addition, simulated annealing was compared with a constant temperature version of itself since the resulting homogeneous Markov chain is amendable to Perron-Frobenius analysis. The two algorithms perform similarly.<>
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