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可行域计算的仿射-区间方法

DOI: 10.13190/j.jbupt.2015.02.012, PP. 69-73

Keywords: 可行域,仿射算法,区间算法,分支定界法

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Abstract:

提出了一种复杂函数的可行域计算的仿射-区间方法.首先利用仿射-区间方法对设计域内函数的界限进行分析,并利用分支定界法将该区域分类为可行域、不可行域和不确定域;然后将不确定区域进行细分,并对每个细分后的子区域再进行函数界限分析和分类,直至子区域半径达到设计要求;最后对所有可行域的面(体)积进行统计求和,获得函数的总可行域.该方法可对非凸函数甚至可行域不连续函数的可行域进行估计.算例演示了该方法的计算过程,并验证了该方法的有效性.

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