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| 基于随机理论的Nash汇流模型初探 | |
| 引用本文： | 孙颖娜,付强,李相丽.基于随机理论的Nash汇流模型初探[J].水文,2009,29(4). |
| 作者姓名： | 孙颖娜 付强 李相丽 |
| 作者单位： | 1. 东北农业大学,黑龙江,哈尔滨,150030;黑龙江大学水利电力学院,黑龙江,哈尔滨,150086 2. 东北农业大学,黑龙江,哈尔滨,150030 3. 黑龙江农垦勘测设计研究院,黑龙江,哈尔滨,150090 |
| 基金项目： | 黑龙江省教育厅科技项目，黑龙江大学博士基金，黑龙江省水利厅项目 |
| 摘 要： | 在Nash模型中引入随机微分方程理论,分别假定模型具有随机输入和随机参数的情况,对汇流过程的随机性进行了分析和探讨,并将随机汇流模型应用到沿渡河流域,取得了满意的效果.在Nash模型中引入随机理论,不仅可以给出汇流系统输出的数学期望,而且可以同时给出输出的均方差.这样就能够正确地反映出随机性因素对汇流过程的影响. |
| 关 键 词： | 随机输入 随机参数 Nash模型 |
Study on Nash Model Based on Stochastic Theory |
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| SUN Ying-na,FU Qiang,LI Xiang-li.Study on Nash Model Based on Stochastic Theory[J].Hydrology,2009,29(4). | |
| Authors: | SUN Ying-na FU Qiang LI Xiang-li |
| Institution: | SUN Ying-na1,2,FU Qiang1,LI Xiang-li3 (1. Northeast Agricultural University,Harbin 150030,China,2. College of Hydraulic and Electric Power,Heilongjiang University,Harbin 150080,3. Helongjiang Land Reclamation Survey and Design Institute,Harbin 150090,China) |
| Abstract: | Nash model was introduced in stochastic differential equations theory. Assumed random input and random parameters, the randomness of flow concentration process was analyzed and discussed, which achieved satisfactory results by using the random flow concentration model for the river basin. Introducing the stochastic theory to Nash model can not only give out the mathematical expectation of the flow concentration system output, but also offer the output variance. This can correctly reflect the confluence of r... |
| Keywords: | random input random parameter equation Nash model |
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