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基于D.S.C.法求解约束优化问题的进化算法

New evolutionary algorithm based on D.S.C. for constrained optimization problem

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【作者】 刘大莲王丽伟陈晓华

【Author】 LIU Dalian1, WANG Liwei1, CHEN Xiaohua21.Department of Basic Course Teaching, Beijing Union University, Beijing 100101, China 2.Tourism Institute, Beijing Union University, Beijing 100101, China

【机构】 北京联合大学基础部北京联合大学旅游学院

【摘要】 约束优化问题最优解通常分布在可行域边界上或在可行域边界附近,对其求解比较困难。对此类问题提出了一种基于D.S.C(.Davies,Swann,Campey)法的混合进化算法,简记为I.D.S.C。从某个随机解出发,利用改进了停止法则的D.S.C.法进行一维搜索,使得搜索到的解在可行域边界或其附近;采用了新的适应度函数,可以自动选择有潜力的解,无需像类似方法分情况进行选择;同时,为了避免丢掉好的解,算法还启用了保留一定数目可行解的策略。对5个标准的测试函数进行了实验,结果验证了算法的有效性。

【Abstract】 The global solutions of the constrained optimization problems often locate on or are near the boundary of the feasible region, and it is hard to get the global solutions. A novel hybrid evolutionary algorithm based on Davies, Swann and Campey search method(D.S.C.), referred as Improved D.S.C.(I.D.S.C.)is proposed. Starting from a random solution, a solution on or near the boundary of the feasible region is got by D.S.C.search method with the revised stop criterion. Then, a new fitness function is used. It can automatically select potential high quality solutions without discussion of the different situations as the similar fitness did; meanwhile, avoid throwing away potential high quality solutions, the strategy of keeping a certain number of feasible solutions is adopted. At last, the computer simulations are made on 5 benchmark problems and the results demonstrate that the proposed algorithm is effective.

【基金】 北京市教育委员会科技计划项目(No.SQKM201211417011)
  • 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2012年13期
  • 【分类号】TP18
  • 【下载频次】47
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