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弹性需求下城市公交网络服务的优化
引用本文:刘文驰,张建同,王世进.弹性需求下城市公交网络服务的优化[J].运筹与管理,2012,21(2):44-49.
作者姓名:刘文驰  张建同  王世进
作者单位:同济大学经济与管理学院,上海,200092
基金项目:国家自然科学基金资助项目,上海市科技发展基金软科学研究博士学位论文资助
摘    要:对具有弹性需求的城市公交网络系统进行了票价结构与发车频率组合的优化。考虑到公交定价和发车频率会影响乘客需求以及乘客对路径的选择行为,将这一问题描述为一个双层规划问题,上层是寻求社会福利最大的优化问题;下层考虑了乘客的出行选择行为,为弹性需求下乘客在城市公交网络上流量分布的随机用户平衡分配模型。鉴于双层规划问题的非凸性,运用模拟退火算法对模型进行求解,并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:城市公交服务优化  双层规划  模拟退火算法  票价  发车频率

Optimization of Urban Transit Network Service under Elastic Demand
LIU Wen-chi , ZHANG Jian-tong , WANG Shi-jin.Optimization of Urban Transit Network Service under Elastic Demand[J].Operations Research and Management Science,2012,21(2):44-49.
Authors:LIU Wen-chi  ZHANG Jian-tong  WANG Shi-jin
Institution:(School of Economics and Management,Tongji University,Shanghai 200092,China)
Abstract:Considering the elastic demand,the fare and the frequency in the transit network are simultaneously optimized.The fare structureand frequency have effects on passengers ’ demand and choice of travel routes,which are described as a bi-level programming problem.The upper-level problem is the maximization of social welfare,ard the lower-level problem concerns passengers’ choice behavior.We develop developed as a stochastic user equilibrium assignment model with elastic demand.For the non-convexity of bi-level problem,a simulated annealing algorithm is applied to solve the problem.The model and the algorithm are illustrated in a numerical example.
Keywords:urban transit service optimization  bi-level programming  simulated annealing  fare  frequency
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