| 输油管线建设费用的数学模型 |
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| 引用本文： | 段克峰.输油管线建设费用的数学模型[J].陇东学院学报(社会科学版),2011(4). |
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| 作者姓名： | 段克峰 |
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| 作者单位： | 陇南师范高等专科学校;兰州大学数学与统计学院; |
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| 摘 要： | 运用平面镜成像原理找到了修建车站的最佳位置,列出了输油管线长度的函数解析式.应用凸函数的一个性质和Newton迭代法找到了此函数的最小值点,从而求出了输油管线长度的最小值,建立了输油管线建设费用最省的一般数学模型.在此数学模型的基础上根据问题2的条件,给出了两套管线布置方案,求出了三家工程咨询公司估算的附加费用的数学期望,进而算出了管线布置方案的相应费用.根据问题3的条件从两套管线布置方案及相应的费用中筛选出了管线最佳布置方案及相应的费用.
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| 关 键 词： | 输油管线 建设费用 数学模型 Newton迭代法 数学期望 |
The Mathematical Model of Oil Pipeline's Construction Cost |
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| DUAN Ke-feng.The Mathematical Model of Oil Pipeline's Construction Cost[J].Journal of Longdong University(Social Science Edition),2011(4). |
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| Authors: | DUAN Ke-feng |
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| Institution: | DUAN Ke-feng (1.Longnan Teacher's College,Chengxian 742500,Gansu,2.College of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,Gansu) |
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| Abstract: | Directed at the problem put forward in this paper,locating the best position of the station by plane mirror imaging principle,an analytic function for the length of oil pipeline has been drawn up.Finding the minimum point of the function by a property of convex function and Newton iteration method,accordingly,evaluating the minimum of the length of oil pipeline,a common mathematical model has been formed for the minimum cost of oil pipeline construction.Based on the mathematical model and the conditions giv... |
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| Keywords: | oil pipeline construction cost mathematical model Newton's Iteration method Mathematical expectation |
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