| 输油管布置的优化模型 |
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| 引用本文： | 潘丽静.输油管布置的优化模型[J].渭南师范学院学报,2011,26(6):18-21. |
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| 作者姓名： | 潘丽静 |
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| 作者单位： | 渭南师范学院数学与信息科学学院，陕西渭南，714000 |
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| 基金项目： | 渭南师范学院科研计划项目(11YKZ021) |
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| 摘 要： | 文章研究了如何布置输油管,使得建立管线费用最省的问题,以管线建设费用最少为目标函数,针对两炼油厂到铁路线的距离和两炼油厂间距离的各种不同情形设计方案,考虑了共用管线与非共用管线每千米建设费用相同的情形.将实际问题转化为在坐标系上找一点使得该点到两厂的距离及其纵坐标之和达到最小,利用费马定理,极值定理,取得公用管道交接点,从而使管道最短,费用最小,进而确定车站建立的位置,并求出输油管布置的最低费用.
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| 关 键 词： | 输油管布置 费马定理 极值定理 最低费用 |
Optimization Model of Pipeline Arranges |
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| PAN Li-jing.Optimization Model of Pipeline Arranges[J].Journal of Weinan Teachers College,2011,26(6):18-21. |
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| Authors: | PAN Li-jing |
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| Institution: | PAN Li-jing(School of Mathematics and information science,Weinan Teachers University,Weinan 714000,China) |
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| Abstract: | In this paper,we have talked about how to put the oil pipe line to save more money.Setting the least construction cost as the objective function,we have designed several different plans,such as the situation concerning distance between two oil refineries;or concerning the distance between two oil refineries and the railway lines.Also we have taken into consider the situation about the same construction cost of each kilometer of the shared pipeline or not sharing pipeline.By doing so,we have transformed the ... |
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| Keywords: | pipeline design Fermat theorem extreme value theorem the least cost |
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