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A Parallel Algorithm for Reliable Nonlinear Global Optimization with Interval Arithmetic

机译:间隔算法可靠非线性全局优化的并行算法

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It has fundamental importance to reliably find numerical solutions for large-scale nonlinear global optimization problems. In this paper, we report an SPMD parallel algorithm that solves global optimization problem with continuous nonlinear objective function and constraints. Interval branch-and-bound algorithms are the basic algorithms in this paper. Our coarse-grained SPMD algorithm has the advantages of less communication overhead, minor modification of sequential program, reduction of total number of computation, and balanced workload. Initial implementations of our parallel algorithm have shown significant reductions of total number of computation and superlinear speedup.
机译:它具有基本重要性,可靠地找到大规模非线性全局优化问题的数值解决方案。在本文中,我们报告了一种SPMD并行算法,解决了连续非线性目标函数和约束的全局优化问题。间隔分支和绑定算法是本文的基本算法。我们的粗粒度SPMD算法具有较低通信开销,次要修改的优势,顺序程序,计算总数减少和平衡工作量。我们并行算法的初始实现显示了计算总数和超线性加速度的显着减少。

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