多用户多准则弹性需求随机交通均衡变分模型

徐兵; 朱道立

多用户多准则弹性需求随机交通均衡变分模型

徐兵^1,2,
朱道立^2, ,

基金项目:

国家自然科学重点项目(70432001)

中国博士后基金(20060400584)

赣教技字[2007]10号

江西省自然科学基金资助项目(2007GZS2120)

详细信息

作者简介:
徐兵(1972- ),男,副教授,博士,研究方向为运筹学、交通运输,电话:021-55521353,E-mail:xu_bing99@sina.com

通讯作者:
朱道立(1945- ),男,教授,博士生导师,电话:021-65644781,E-mail:dlzhu@fudan.edu.cn

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- 文章访问数: 1580
- HTML全文浏览量: 73
- PDF下载量: 377
- 被引次数: 0
出版历程
- 收稿日期: 2006-09-18
- 刊出日期: 2008-02-25

Variational Inequality Equilibrium Model for Multiclass and Multicriteria Stochastic Traffic Networks with Elastic Demands

XU Bing^1,2,
ZHU Daoli^{2
, ,}

摘要

摘要: 针对非对称费用函数下准则权重与出行者类别相关的多准则路径选择问题,用变分不等式方法建立了具有弹性需求量的多用户多准则随机交通均衡配流模型.该模型是单用户随机均衡和多用户确定性均衡模型的推广.证明了变分模型中映射的连续性及严格单调性可分别保证均衡流量的存在性和唯一性.某路段广义路段出行费用受出行量和其它相关路段流量的影响,是所有路段流量的函数,并受出行量影响.用对角算法求解该交通均衡的变分问题.算例表明了模型的合理性和算法的可行性.
- 随机交通均衡 /
- 多准则决策 /
- 变分不等式 /
- 路段 /
- 模型 /
- 算法
Abstract: An equilibrium model for multiclass and multicriteria stochastic traffic networks with elastic demands was established using variational inequality method under assumptions that the weights of criteria are dependent of classes of travelers, and that cost functions are unsymmetrical.The model generalizes the equilibrium model for stochastic traffic networks of single class of travelers.It was proved that the continuity and strict monotonicity of mappings in the variational model ensure the existence and uniqueness of equilibrium flows,respectively.Generalized travel cost for a road section is affected by demands and traffic flows on other related road sections,and is a function of flows on all roads.This variational inequality is solved with a diagonal algorithm.An example was presented to show the feasibility of the proposed model and the algorithm.
- stochastic traffic equilibrium /
- multicriteria decision making /
- variational inequality /
- road section /
- model /
- algorithm

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参考文献(1)

CURRENT J,MARSH M.Multiobjective design of transportation networks:axonomy and annotation[J].European Journal of Operational Research,1986,26(2):187-201.[2] CURRENT J,MARSH M.Multiobjective transportation network design and routing problem:taxonomy and annotation[J].European Journal of Operational Research,1993,65 (1):4-19.[3] NAGURNEY A.A muticlass,muticriteria traffic network equilibrium model[J].Mathematical and Computer Modelling,2000,32(3-4):393-411.[4] NAGURNEY A,DONG J.A multiclass,multicriteria traffic network equilibrium model with elastic demand[J].Transportation Research,2002,36 B (5):445-469.[5] 周晶.随机交通均衡配流模型及其等价的变分不等式问题[J].系统科学与数学,2003,23:1 20-1 27.ZHOU Jing.Stochastic user equilibrium and its variational inequality problem[J].Journal of Systems Science and Mathematical Sciences,2003,23 (1):120-127.[6] ROSA A,MACHER M.Stochastic user equilibrium traffic assignment with multiple user classes and elastic demand[C]//Proceedings of the Euro Working Group on Transportation 2002 Conference.Bari,2002,392-397.[7] FLORIAN M,WU Jiahao,HE Shuguang.A multi-class multi-model variable demand network equilibriummodel with hierarchical logit structures[J].Journal of University of Shanghai for Science and Technology,1999,21 (3):191-202.[8] DIAL R B.Bicriterion traffic assignment basic theory and elementary algorithms[J].Transportation Science,1996,30(2):93-111.[9] DIAL R B.Bicriterion traffic assignment efficient algorithms plus examples[J].Transportation Research,1997,31B(5):357-379.[10] CANTARELLA G E,BINETTI M.Stochastic equilibrium traffic assignment with value-of-time distributed among users[J].International Transportations in Operational Research,1998,5(6):541-553.[11] 徐兵,朱道立.多用户多准则固定需求随机交通均衡变分模型[J].公路交通科技,2007,24(4):129-133.XU Bing,ZHU Daoli.A multiclass and multicriteria stochastic traffic network equilibrium variational inequality model with fixed demand[J].Journal of Highway and Transportation Research ad Development,2007,24(4):129-133.[12] NAGURNEY A.Network economics:a variational inequalities approach[M].Dordrecht:Kluwer Academic Publishers,1993.[13] 黄海军.城市交通网络平衡分析——理论与实践[M].北京:人民交通出版社,1994.

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文章访问数: 1580
HTML全文浏览量: 73
PDF下载量: 377
被引次数: 0

多用户多准则弹性需求随机交通均衡变分模型

作者简介: 徐兵(1972- ),男,副教授,博士,研究方向为运筹学、交通运输,电话:021-55521353,E-mail:xu_bing99@sina.com

通讯作者: 朱道立(1945- ),男,教授,博士生导师,电话:021-65644781,E-mail:dlzhu@fudan.edu.cn

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出版历程

Variational Inequality Equilibrium Model for Multiclass and Multicriteria Stochastic Traffic Networks with Elastic Demands

计量

出版历程

目录

作者简介:
徐兵(1972- ),男,副教授,博士,研究方向为运筹学、交通运输,电话:021-55521353,E-mail:xu_bing99@sina.com

通讯作者:
朱道立(1945- ),男,教授,博士生导师,电话:021-65644781,E-mail:dlzhu@fudan.edu.cn