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弹性需求下公交网络系统票价结构的优化
引用本文:周晶,盛昭瀚,何建敏.弹性需求下公交网络系统票价结构的优化[J].自动化学报,2001,27(5):637-643.
作者姓名:周晶  盛昭瀚  何建敏
作者单位:1.南京大学管理科学与工程研究院,南京;
基金项目:国家“九五”重点攻关项目 ( 96-A1 5 -0 2 -0 3)基金资助
摘    要:对具有弹性需求的城市公交网络系统票价的合理设定问题进行了研究分析.考虑到公 交收费结构的变化会影响乘客的出行需求量和乘客对路径选择行为,将这一问题描述为一个两 级数学规划问题.上一级问题是寻求收益最大的优化问题,下一级问题是估计乘客在网络上的 流量分布的具有弹性需求的随机用户平衡分配模型.鉴于两级规划问题的非凸性,提出基于灵 敏度分析的启发式算法.最后,给出一个仿真算例说明提出的模型和算法的合理性.

关 键 词:公交网络    弹性需求    票价    两级规划模型
收稿时间:1999-7-19
修稿时间:1999年7月19日

Optimal Fare Design for Public Transport Networks with Elastic Demand
ZHOU Jing,SHENG Zhao-Han,HE Jian-Ming.Optimal Fare Design for Public Transport Networks with Elastic Demand[J].Acta Automatica Sinica,2001,27(5):637-643.
Authors:ZHOU Jing  SHENG Zhao-Han  HE Jian-Ming
Affiliation:1.Graduate School of Management Science&Engineering,Nanjing University,Nanjing;School of Management&Economics,Southeast University,Nanjing
Abstract:The optimial fare structure for public transport networks with elastic demand is discussed with the assumption of fixed transit service frequency.Because the transit fare structure has significant effects on the passengers' demand and route choice behavior,a bilevel programming method is developed to determine the optimal fare structure for the transit operator with taking into account the passengers' response.The upper level problem seeks to maximize the operator's revenue,while the lower level problem is a stochastic user equilibrium transit assignment model with elastic demand.Since the bilevel problem is nonconvex,a heuristic solution algorithm based on sensitivity analysis is proposed.Finally,a numerical example is given to illustrate the proposed model and algorithm.
Keywords:Public transport network  elastic demand  fare  bilevel programming problem  
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