A complementary formulation for traffic equilibrium problem with a new nonadditive route cost  

作　　者：XU Meng GAO ZiYou 

机构地区：[1]MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China [2]Institute of Systems Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China

出　　处：《Science China(Technological Sciences)》2011年第9期2525-2530,共6页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.71071014,70771005,70631001);the Fundamental Research Funds for Central Universities of China(Grant No. 2009JBM044)

摘　　要：Improviag transportation system is essential for all people in each city since transport plays a very important role. Using mathematical programming approach transport problem is an effective way to improve transportation system. In this paper, the traffic equilibrium problem （TEP） with a general nonadditive route cost function is studied. We formulate the route cost function for each route as a disutility function, which can evaluate route cost function flexibly and analyze the route toll conveniently. Furthermore, we present the TEP with a nonlinear complementary problem （NCP） formulation. The monotonicity and the existence with the NCP formulation are also given under relative assumptions.

关 键 词：traffic equilibrium problem nonadditive cost nonlinear complementarity problem 

分 类 号：U491[交通运输工程—交通运输规划与管理] O221.2[交通运输工程—道路与铁道工程]