人工鱼群算法在生产函数参数估计中的应用
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1.青岛滨海学院 基础理科部,山东 青岛 266555;
2.广西民族大学 数学与计算机科学学院,广西 南宁 530006

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Artificial Fish School Algorithm for Estimating Parameters in Production Function
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Affiliation:

1.Basic Science Department of Qingdao Binhai University,Qingdao 266555;
2.College of Mathematics and Computer Science Guangxi University for Nationalities,Nanning 530006,China

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    摘要:

    生产函数在生活中有着举足轻重的作用,合理地选择估计生产函数参数的方法尤为重要。常用的C-D生产函数为多元非线性函数﹐用传统方法进行参数估计存在一定的局限性。基于人工鱼群算法能够克服局部极值、鲁棒性强等特点,给出了一种生产函数中参数估计的通用新方法,该方法首先将生产函数模型中的参数构造成人工鱼模型,利用残差平方和设计食物浓度函数,然后通过人工鱼的随机、觅食、聚群、追尾等行为,对生产函数中的参数进行估计。以美国马萨诸塞州1820-1926年的产值、资金投入和劳动力投入数据做仿真实验,结果表明,该算法在生产函数参数估计中具有寻优速度快的特点﹐且可得到最小的回归残差平方和。

    Abstract:

    Production function is very important in the life, so choosing the reasonable mothed for estimationg parameters of production function is very necessary. Usually, Cobb-Douglas production function is multivariable nonlinear function, and most of traditional methods have some limitations in estimating parameters. A new method for estimating parameters is proposed due to the characteristics of artificial fish school algorithm such as overcoming the local optimal value and robustness. Firstly, the parameters of production function are constructed into the artificial fish and residual sum of squares is designed into the function of food consistence, secondly, the parameters of production function are estimated by the random behavior, preying behavior, swarming behavior and following behavior. The simulation studies are carried out for getting the accurate parameters of the production function. The simulation results show that this algorithm has fast optimization speed and which possesses minimum regression residual sum of squares.

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李哲,王冬冬,梁丽,周永权.人工鱼群算法在生产函数参数估计中的应用[J].重庆师范大学学报自然科学版,2009,(2):84-86

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