[1]李晓伟,陈 红,周继彪,等.基于累积前景理论的城市公交线网灰关联优化[J].西安建筑科技大学学报:自然科学版,2012,44(04):495-502.[doi:10.15986/j.1006-7930.2012.04.008]
　LI Xiao-wei,CHEN Hong,ZHOU Ji-biao,et al.Grey relevancy optimization model of urban public transportation network based on cumulative prospect theory[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2012,44(04):495-502.[doi:10.15986/j.1006-7930.2012.04.008]
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基于累积前景理论的城市公交线网灰关联优化()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
44
期数:
2012年04期
页码:
495-502
栏目:
出版日期:
2012-08-31

文章信息/Info

Title:
Grey relevancy optimization model of urban public transportation network based on cumulative prospect theory
文章编号:
1006-7930(2012)04-0495-08
作者:
李晓伟1; 2; 陈 红3; 周继彪3; 尹毫企3; 李志平4
(1.西安建筑科技大学土木学院,陕西 西安 710055;2. 公路大型结构安全教育部工程中心,陕西 西安 710064; 3.长安大学公路学院,陕西 西安 710064;4. 湖北省襄阳市公路管理局,湖北 襄阳 441003)
Author(s):
LI Xiao-wei1; 2;  CHEN Hong1;  ZHOU Ji-biao3;  YIN Hao-qi3;  LI Zhi-ping4
(1.School of Civil Engineering, Xian Univ. of Arch. & Tech., Xian 710055,China; 2.Highway Large-scale Structure Safety Engineering Center of the Ministry of Education, Xian 710064, China; 3.Highway School, Changan University, Xian 710064, China; 4.Hubei province Xiangyang City Highway Management Bureau, Xiangyang 441003, China)
关键词:
交通工程; 公交线网; 前景理论; 灰色关联; 决策
Keywords:
traffic engineering;  public transportation network;  prospect theory;  grey relevancy;  decision-making
分类号:
U491
DOI:
10.15986/j.1006-7930.2012.04.008
文献标志码:
A
摘要:
在给出公交线网优化的目标函数和约束条件的基础上,考虑决策者风险态度对公交线网优化决策的影响,提出了一种基于累积前景理论的公交线网灰关联优化模型.该模型通过[-1,1]线性变化将决策矩阵标准化,应用TOPSIS法得到正负理想方案作为城市公交线网优化决策的参考点;将正负理想方案和公交优化方案分别作为参考数列和被比较数列,应用关联分析法构建了正负关联系数矩阵,基于累积前景理论及其正负前景价值函数构建了正负前景价值矩阵和方案综合前景值最大化的非线性规划模型,应用极值法求解模型得出最优权向量,最终确定出最优方案.西安市公交线网优化实例表明该方法能够较好地对线网进行优化调整,更加符合人类的思维模式
Abstract:
Considering the risk attitude of decision makers towards the impact of public transportation network optimization decision, public transportation network grey relevancy optimization model is put up on the basis of cumulative Prospect Theory after elaborating objective function and constraints of public transportation network. Firstly, the [-1,1] linear transformation operator is used to standardize the original decision-making information and get the positive and negative ideal schemes which are taken as the reference points of priority by the way of TOPSIS. Secondly, the positive and negative grey relevancy matrixes are established for taking the positive and negative ideal schemes as reference sequence and taking decision-making programs as compared sequence on the base of grey system theory. Thirdly, the positive and negative prospect value matrixes and the nonlinear planning model for the maximum of comprehensive prospect value are putup on the basis of cumulative prospect theory and its prospect value functions, the optimum weight vector is solved, and the best program is derived. Finally, the case of Xi′an shows that the method can help adjust the public transportation network better and the optimization solution is quite reasonable to meet the actual needs.

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备注/Memo

备注/Memo:
收稿日期:2012-02-27 修改稿日期:2012-07-04
基金项目:“十一五 ” 国家科技支撑计划重点资金项目资助(2006BAJ18B06);交通部科技教育司资金项目资助(2008319812020);中央高校基本科研业务费专项资金资助(CHD2011ZY006)和长安大学基础研究支持计划专项基金资助
作者简介:李晓伟(1985-),男,河南信阳人,博士,主要从事交通系统规划、设计
更新日期/Last Update: 2015-09-01