运筹与管理Issue(4)：206-212,7.
多方式弹性需求下公交定价双层规划模型
Bi-level Programming Pricing Model under Multimodal Transportation Network with Elastic Demand
摘要
Abstract
To describe the interaction and influence of urban transit pricing and travel choice behavior under traffic network , travel mode choice and route choice were integrated in the same network and a bi-level program-ming model of urban transit pricing uas established .There were three objectives in the upper programming mod-el, enterprise profit maximization , passenger travel cost minimization and the maximization of social welfare .The lower model uas a stochastic user equilibrium assignment model under multimodal urban transportation network with elastic demand .An improved genetic algorithm uas used to solve the whole model , and an iterative algo-rithm based on diagonalization and MSA uas provided to solve the lower model .Finally a simple numeral example use given .The results indicate that the government , enterprises and passengers can get higher earnings with bus transit price determined by using bi-level programming model than traditional static price .And the upper model to maximize social welfare as the objective function can represent most people ’ s interest in social groups , whose optimization effect is the most ideal .关键词
交通工程/定价模型/双层规划/公共交通/多方式城市交通网络Key words
traffic engineering/pricing model/bi-level planning/urban transit/multimodal urban transportation network分类
管理科学引用本文复制引用
陈坚,邵毅明,马庆禄..多方式弹性需求下公交定价双层规划模型[J].运筹与管理,2014,(4):206-212,7.基金项目
国家自然科学基金项目（51308569）；重庆市教委科学技术研究项目（ KJ130424）；科技部863计划项目子课题（2011AA11306）；（重庆交通大学）开放基金项目 （）
