| 摘要: |
| 本文介绍了用直接求优法模拟S型曲线的方法,并从微分方程dy/dx=Ey-Fy2出发,给出了三参数取值范围的确定方法。本方法由于直接以Q=∑_(l=1)~n(y_-C/(1+Ae~(BX_1)))2对实际观察值取最小为目标,因此克服了0.618法(即优选法)在对S型曲线进行模拟时的局限性,从而在对S型曲线进行拟合时,将明显地优于0.618法。 |
| 关键词: 线性最小二乘法 观察值 局限性 线性化 曲线模拟 目标函数 微分方程 参数取值范围 优选法 确定方法 |
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| THE OPTIMIZATION METHOD FITTING THE S-MODEL CURVE |
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| Abstract: |
| This paper introduces a method fitting S-MODEL CURVE by seeking optimization directly,and shows a method determining the range in which three parameters exist by solving differential eauation dy/dx=Ey-Fy~2.The method takes the formularQ=sum from i=1 to n(y_i-C/(1+Ae~(-Bx1)))~2 setting minimal value for the real observational value,as the objection fuction,so it overcomes the limitation which appears when S-MODEL CURVE is fitted in the 0.618-METHOD(that is optimum seekingmethod), therefore this method is muc... |
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