| 多用户多准则固定需求随机交通均衡变分模型 |
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| 引用本文： | 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. |
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| 作者姓名： | 徐兵 朱道立 |
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| 作者单位： | 1. 南昌大学,管理科学与工程系,江西,南昌,330047;复旦大学,管理学院,上海,200433
2. 复旦大学,管理学院,上海,200433 |
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| 基金项目： | 国家自然科学基金重点资助项目（70432001）;中国博士后基金资助项目（20060400584） |
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| 摘 要： | 运用变分不等式理论,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,建立了具有固定需求量的多用户多准则随机交通均衡配流模型,分析了均衡流量的存在性和唯一性条件,由于广义路段出行成本受到路段之间流量的相互影响,可将相继平均法进行推广来求解该交通均衡的变分问题。给出了相继平均法的执行步骤和计算实例。
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| 关 键 词： | 交通工程 随机交通均衡 多准则决策 变分不等式 算法 |
| 文章编号： | 1002-0268(2007)04-0129-05 |
| 修稿时间： | 2005-11-02 |
A Multiclass and Multicriteria Stochastic Traffic Network Equilibrium Variational Inequality Model with Fixed Demand |
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| XU Bing,ZHU Dao-li.A Multiclass and Multicriteria Stochastic Traffic Network Equilibrium Variational Inequality Model with Fixed Demand[J].Journal of Highway and Transportation Research and Development,2007,24(4):129-133. |
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| Authors: | XU Bing ZHU Dao-li |
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| Institution: | 1. Management Science and Engineering Department, Nanehang University, Nanehang Jiangxi 330047, China; 2. Management School, Fudan University, Shanghai 200433, China |
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| Abstract: | Based on variational inequality theory,a multiclass,multicriteria stochastic traffic network equilibrium model with fixed demand is obtained,under the assumption that the criteria weights are class-dependent and the cost functions are unsymmetrical.The qualitative analysis,such as existence and uniqueness,is studied.Since generalized road-transit-cost is affected each other by road-flow,MSA(Method of Successive Averages) algorithm can be extended to solve the variational inequality problem of this traffic network equilibrium.The process of this algorithm and an example are put forward. |
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| Keywords: | traffic engineering stochastic traffic equilibrium multicriteria decision variational inequality algorithm |
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