基于Nash均衡的交通流平衡条件研究  

Research on Traffic Flow Equilibrium Condition Based on Nash Equilibrium

作　　者：牛清春 刘澜[1] 李新[1] 

机构地区：[1]西南交通大学,交通运输与物流学院,成都610031

出　　处：《交通运输工程与信息学报》2017年第2期52-57,共6页Journal of Transportation Engineering and Information

摘　　要：交通流平衡条件主要有用户最优平衡和系统最优平衡两种表达方式,单纯研究一种最优平衡条件下的交通配流问题无法解决整体的路网优化问题。本文基于Nash均衡的博弈论思想,将用户最优与系统最优建立数学上的联系,然后经过理论推导,论证等价转换的正确性,最后构建一个简单路网,对理论分析进行验证,得到在实现用户最优的同时,达到系统的最优,并表明这种基于NASH均衡的交通流平衡条件研究提高了路网的实际通行能力,同时也节约了出行者的出行时间。There are two main theories of traffic flow equilibrium conditions： user equilibrium（UE） and system optimum（SO）. But only studying the traffic flow with an optimal equilibrium condition can not solve the whole road network optimization problem. Base on Nasb Equilibrium Game, combining UE and SO in mathematical theory, through theoretical derivation, the accuracy of the equivalent conversion was proved. Then, asimple road network was used to verify the theoretical analysis. The obtained results achieved the optimal user while achieving an optimal system. All the aboved shows that the traffic flow study under Nash equilibrium conditions not only improves the actual capacity of the road network, and also saves travelers＇ travel time.

关 键 词：NASH均衡 用户最优 系统最优 路网优化 

分 类 号：U491.1[交通运输工程—交通运输规划与管理]