| 拉格朗日乘子法在水位流量关系拟合中的应用 |
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| 引用本文： | 周世良,尚明芳,李怡,刘小强.拉格朗日乘子法在水位流量关系拟合中的应用[J].水文,2011,31(5):15-17,71. |
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| 作者姓名： | 周世良 尚明芳 李怡 刘小强 |
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| 作者单位： | 重庆交通大学河海学院,重庆,400074 |
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| 基金项目： | 教育部科学技术研究重点项目(210176); 云南省交通运输厅科技项目(702237); 重庆市科委自然科学基金计划资助项目(CSTC2010BB7084) |
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| 摘 要： | 针对传统方法在水位流量关系拟合中线性化后存在的不足以及未考虑拟合函数的显著性水平的局限性,以流量残差平方和最小为目标函数,以显著性水平为约束条件,结合拉格朗日乘子法对水位流量关系进行优化处理。通过算例对比分析了水位流量关系在传统算法、自适应加速遗传算法及本文优化算法下的拟合结果。计算结果表明:提出的优化理论能更精确地模拟实际工程中水位流量关系,其基本思想可为类似的水文分析提供借鉴作用。
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| 关 键 词： | 水位流量关系 拉格朗日乘子法 优化模型 |
Application of Lagrange Multiplier Method in Fitting Stage-Discharge Relation |
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| ZHOU Shiliang,SHANG Mingfang,LI Yi,LIU Xiaoqiang.Application of Lagrange Multiplier Method in Fitting Stage-Discharge Relation[J].Hydrology,2011,31(5):15-17,71. |
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| Authors: | ZHOU Shiliang SHANG Mingfang LI Yi LIU Xiaoqiang |
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| Institution: | ZHOU Shiliang,SHANG Mingfang,LI Yi,LIU Xiaoqiang(College of River and Ocean Engineering,Chongqing Jiaotong University,Chongqing 400074,China) |
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| Abstract: | There are shortages in fitting stage-discharge relation after linearized in traditional method,which does not consider the narrow limitation of the significance level of the fitted function.We optimized the stage-discharge relation by combining Lagrange multiplier method after taking minimum discharge residual sum of squares as objective function,and taking significance level as constraint condition.The fitting results were analyzed by comparing the example of stage-discharge relation among the traditional ... |
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| Keywords: | stage-discharge relation Lagrange multiplier method optimization model |
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