| 多用户弹性需求网络的双准则系统最优交通分配 |
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| 引用本文： | 王昕,黄海军.多用户弹性需求网络的双准则系统最优交通分配[J].系统工程理论与实践,2011(Z1):94-102. |
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| 作者姓名： | 王昕 黄海军 |
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| 作者单位： | 北京航空航天大学经济管理学院;北京信息科技大学理学院; |
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| 基金项目： | 国家自然科学基金委创新研究群体基金(70821061); 2011年度北京市优秀人才资助(2011D005007000005); 北京信息科技大学校科研基金(5026010950) |
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| 摘 要： | 针对存在异质用户的弹性需求交通网络,当用户时间价值呈离散分布时,给出了系统时间最优和系统费用最优的双准则优化模型及其帕累托有效前沿.证明了存在正的匿名路段收费方案.支持除系统时间最优解之外的其他帕累托解与多用户均衡解达到一致,分析了帕累托最优解处的系统性能与各自的单目标最优系统性能之间的偏差.研究表明,该偏差的上界仅依赖于用户的时间价值分布,而与路段流量分布和路段出行时间函数无关.
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| 关 键 词： | 多用户弹性需求网络 双准则系统最优 用户均衡 帕累托最优 |
Bi-criteria system optimum traffic assignment in networks with multi-user class elastic demands |
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| WANG Xin,HUANG Hai-jun.Bi-criteria system optimum traffic assignment in networks with multi-user class elastic demands[J].Systems Engineering —Theory & Practice,2011(Z1):94-102. |
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| Authors: | WANG Xin HUANG Hai-jun |
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| Institution: | WANG Xin~(1,2),HUANG Hai-jun~1 (1.School of Economics and Management,Beihang University,Beijing 100191,China,2.School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China) |
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| Abstract: | For elastic demand transportation networks with heterogeneous users differentiated by value of time,a bi-criteria optimization model aiming at minimizing the total travel time and total travel cost is proposed.The Pareto optimal frontier of the model solution is derived.It is shown that any Pareto optimum,except the time-based one,can be decentralized into a multi-class user equilibrium by a scheme with positive anonymous tolls on all links.The gaps between the system performances given by Pareto optimum an... |
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| Keywords: | multi-user class elastic demand network bi-criteria system optimum user equilibrium Pareto optimum |
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