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自动均衡负载的并行区间分析全局优化计算模型

A Parallel Interval Computation Model for Global Optimization with Automatic Load Balancing

  • 摘要: 本文提出了一个使用区间分析进行全局优化的分布式并行计算模型。该模型可适应任意数目的处理器并利用交替消息传递在所有处理器之间自动均匀分布工作负荷。各处理器接收问题后根据当前处理器问题的本地占优性对问题进行处理,从而避免了不必要的区间计算。此外,初始优化问题被处理为一个单个问题从而避免了对问题的初始分解。数值计算实验表明,该模型工作性能良好,可稳定地适应任意数目的处理器并实现了各处理器之间的负荷自动均匀分配,提供了显著的并行加速性能,尤其是当处理特别费时解决的问题时。

     

    Abstract: In this paper, we propose a decentralized parallel computation model for global optimization using interval analysis. The model is adaptive to any number of processors and the workload is automatically and evenly distributed among all processors by alternative message passing. The problems received by each processor are processed based on their local dominance properties, which avoids unnecessary interval evaluations. Further, the problem is treated as a whole at the beginning of computation so that no initial decomposition scheme is required. Numerical experiments indicate that the model works well and is stable with different number of parallel processors, distributes the load evenly among the processors, and provides an impressive speedup, especially when the problem is time-consuming to solve.

     

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