[1]赵礼峰,刘艳清. 定流值比例的最小双费用流算法研究[J].计算机技术与发展,2017,27(04):94-97.
　ZHAO Li-feng,LIU Yan-qing. Investigation on Minimum Double Cost Flow Algorithm with Constant Value Ratio[J].,2017,27(04):94-97.
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 定流值比例的最小双费用流算法研究()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
27
期数:
2017年04期
页码:
94-97
栏目:
智能、算法、系统工程
出版日期:
2017-04-10

文章信息/Info

Title:
 Investigation on Minimum Double Cost Flow Algorithm with Constant Value Ratio
文章编号:
1673-629X（2017)04-0094-04
作者:
 赵礼峰; 刘艳清
 南京邮电大学 理学院
Author(s):
 ZHAO Li-feng; LIU Yan-qing
关键词:
 ; 最小双费用流算法; 余网络; 邻接矩阵; Ford算法; 费用差
Keywords:
 ; minimum double cost flow algorithm; over network; adjacency matrix; Ford algorithm; cost difference
分类号:
TP301.6
文献标志码:
A
摘要:
 现有最小双费用流算法只能求解网络的最大双流问题,并不能得到定流值比例.为此,提出了一种定流值比例的最小双费用流新算法,在求解最小双流和最小费用的基础上,在调整双流值保证定流值比例的同时得到最小费用流.所提出的新算法定义了余网络和费用差,以邻接矩阵为网络数据存储结构,使用Ford算法分别得到两费用的最短增广链,选择费用最小的增广链增广并求出其对应的费用差,从费用差最小的开始调整流值就得到定流值比例下的最小费用.应用该新算法构建定流值比例的最小双费用流算法的运输网络模型,就可以获得最优运输方案.逻辑推理和仿真实验结果均表明,所提出的算法可行、有效,能较好地解决稀疏网络以及复杂网络中定流值比例的最小双费用流问题.
Abstract:
 The minimum double cost flow algorithm can only get the maximum double flow of the network,but it cannot get the required flow value ratio.So,a new algorithm of the minimum double cost flow with constant value ratio is put forward.It adjusts the double value to get the constant value ratio and make the cost least based on the maximal double value and minimal cost has gotten.The algorithm defines the over network and cost difference in it,with adjacency matrix as the network data storage structure,and it uses Ford algorithm to obtain shortest augmenting chain for two expenses and chooses the minimum cost augmented links to get the cost difference of augmented chain.It adjusts the double flow ratio based on the size of the cost difference.The algorithm is used to build the transportation network model of minimum double cost flow of constant flow ratio to get the optimal transportation scheme about the model.The logical reasoning and simulation results show that the algorithm proposed is completely feasible and effective,and it can effectively solve the problem of minimum double cost flow in sparse network and complex network.

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更新日期/Last Update: 2017-06-19