杜蓬娟,张哲,孙建刚,谭素杰.凝聚函数法求解斜拉桥成桥后误差调整问题研究[J].,2009,(4):536-539 |
凝聚函数法求解斜拉桥成桥后误差调整问题研究 |
Analysis of error adjustment for cable-stayed bridges in finished state via aggregate function approach |
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DOI:10.7511/dllgxb200904012 |
中文关键词: 斜拉桥 凝聚函数 误差调整 非线性规划 |
英文关键词: cable-stayed bridges aggregate function error adjustment non-linear programming |
基金项目:辽宁省教育厅科学研究计划资助项目05L061. |
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中文摘要: |
针对斜拉桥成桥后的误差调整问题,建立多目标、多约束的优化模型;利用一种带参数的综合凝聚函数法,将多个目标和多个约束分别凝聚为一个替代目标 A(x)和B(x),使各个目标和各个约束在A(x)和B(x) 中具有不同的权重.通过凝聚函数法,将多目标、多约束的非线性规划问题转化为光滑、可微的单目标、单约束优化问题.数值算例表明该方法可以应用于大规模的非线性规划问题中. |
英文摘要: |
The optimization model of error adjustment with multi-objective and multi-constraint is established by using the integrated aggregate function with parameters. The multi-objective and the multi-constraint are respectively aggregated to A(x) and B(x) with different weight in the substitute. The question of multi-objective and multi-constraint is converted into an optimization with single objective and constraint, which is smooth and differentiable. Numerical example indicates that the method can be used in the large scale non-linear programming. |
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