| MSM法优化材积方程的研究 |
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| 引用本文： | 何宗明,洪伟.MSM法优化材积方程的研究[J].林业科学,1993,29(6):558-562. |
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| 作者姓名： | 何宗明 洪伟 |
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| 作者单位： | 福建林学院杉木研究所，福建林学院杉木研究所 南平 353001，南平 353001 |
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| 摘 要： | 一元材积表是根据胸径(D)与材积(V)的数学模型编制的林业用表。V=aD~b是编制一元材积表最常用的方程。由于上式是非线性的,过去常采用的方法是将该方程转化为线性拟合问题,但这里存在一个问题,非线性方程取对数转化为线性方程后,通过最小二乘法求得的参数对线性方程来说是最优的,而对原非线性方程而言,则误差较大,有进一步优化的必要。本文试图应用改进单纯形法,进一步优化V=aD~b方程的参数a、b,从而提高一元材积表的精度。
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| 关 键 词： | 木材 材积方程 教学模型 |
A STUDY ON OPTIMUM FITTING ONE-WAY VOLUME EQUATION BY MODIFIED SIMPLEX METHOD |
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| He Zongming Hong Wei.A STUDY ON OPTIMUM FITTING ONE-WAY VOLUME EQUATION BY MODIFIED SIMPLEX METHOD[J].Scientia Silvae Sinicae,1993,29(6):558-562. |
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| Authors: | He Zongming Hong Wei |
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| Abstract: | Whan an one-way volume table is worked out by equation V=aD~b,ausual method for fitting this equation is to lineariz it firstly, then calculatethe parameters of a and b by Least-squares method. However, the method usedabove is not optimum. It is suggested that the precision of one-way volumetable will be increased by application of Modified Simplex Method to furtheroptimizing the parameter a and b of the equation V=aD~b. |
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| Keywords: | Modified simplex method Optimum fitting one-way volume eqution |
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