| 钢管定购与运输问题的数学模型与求解的新方法 |
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| 引用本文： | 何莉敏,石琳,侯玉双,李德荣,田红晓,刘丽. 钢管定购与运输问题的数学模型与求解的新方法[J]. 内蒙古大学学报(自然科学版), 2010, 41(2) |
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| 作者姓名： | 何莉敏 石琳 侯玉双 李德荣 田红晓 刘丽 |
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| 作者单位： | 内蒙古科技大学数理与生物工程学院应用数学系,内蒙古,包头,014010 |
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| 基金项目： | 内蒙古教育厅高等学校科研项目(NJzy08075);;内蒙古科技大学教学(教改)研究项目(JY2009017) |
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| 摘 要： | 根据西气东输二线工程的交通网络,结合其可行性分析,制定出钢管订购和运输的管道网络图,利用最短路Floyd算法简化了距离网络,求出最小购运费用矩阵.在此基础之上建立了钢管订购和运输问题的整数非线性规划模型,利用Lingo软件编程求解得出最优的西气东输钢管订购和运输方案,为西气东输二线工程的顺利进行提供了理论依据.
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| 关 键 词： | 钢管订购和运输问题 数学建模 整数非线性规划 |
A New Method of Mathematical Model and Solution of the Steel Pipe's Order and Transportation Problem |
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| HE Li-min,SHI Lin,HOU Yu-shuang,LI De-rong,TIAN Hong-xiao,LIU Li. A New Method of Mathematical Model and Solution of the Steel Pipe's Order and Transportation Problem[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(2) |
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| Authors: | HE Li-min SHI Lin HOU Yu-shuang LI De-rong TIAN Hong-xiao LIU Li |
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| Affiliation: | Department of Applied Mathematics/a>;School of Mathematics/a>;Physics and Biological Engineering/a>;Inner Mongolia Universityof Science and Technology/a>;Baotou 014010/a>;China |
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| Abstract: | Firstly,a pipeline network graph of the steel pipe's order and transportation is obtained according to the transportation network and combining analysis of feasibility;secondly,the distance network is simplified by using the shortest path Floyd algorithm and the minimum order-transportation cost matrix is given.Based on these,an integer nonlinear programming model on the problem is built.Then,the satisfactory plan of the steel pipe's order and transportation problem is obtained by using Lingo software.The t... |
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| Keywords: | steel pipe's order and transportation problem mathematical modeling integer nonlinear programming |
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