C-logit stochastic user equilibrium model with elastic demand

被引:27
作者
Xu, Xiangdong [1 ,2 ]
Chen, Anthony [1 ]
机构
[1] Utah State Univ, Dept Civil & Environm Engn, Logan, UT 84322 USA
[2] Southeast Univ, Sch Transportat, Nanjing, Jiangsu, Peoples R China
关键词
C-logit; stochastic user equilibrium; elastic demand; partial linearization; ROUTE CHOICE MODELS; TRAFFIC ASSIGNMENT; ALGORITHM;
D O I
10.1080/03081060.2013.818275
中图分类号
U [交通运输];
学科分类号
08 ; 0823 ;
摘要
Modeling the elasticity of travel demand in network equilibrium analysis has several important transportation applications. In this paper, we provide a mathematical programming formulation for the C-logit stochastic user equilibrium problem with elastic demand (CL-SUE-ED) in the route domain. The proposed model is capable of explicitly modeling the elasticity of travel demand and the effect of route overlapping on travel choice and route choice simultaneously. Some qualitative properties of the model, including the equivalency and uniqueness of the solution, are also rigorously proved. To solve the CL-SUE-ED model, a partial linearization method is developed to handle the elastic demand and route overlapping considerations. In addition, a self-regulated averaging stepsize scheme is adopted to smartly determine the stepsize while avoiding evaluating the complex objective function. Numerical examples are also provided to demonstrate the features of the proposed model and solution algorithm.
引用
收藏
页码:463 / 478
页数:16
相关论文
共 25 条
[1]  
[Anonymous], P INT S TRANSP TRAFF
[2]  
[Anonymous], 2005, Mathematical and Economic Theory of Road Pricing
[4]   Effects of choice set size and route choice models on path-based traffic assignment [J].
Bekhor, Shlomo ;
Toledo, Tomer ;
Prashker, Joseph N. .
TRANSPORTMETRICA, 2008, 4 (02) :117-133
[5]   GOLDSTEIN-LEVITIN-POLYAK GRADIENT PROJECTION METHOD [J].
BERTSEKAS, DP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (02) :174-183
[6]   MULTIDIMENSIONAL STOCHASTIC APPROXIMATION METHODS [J].
BLUM, JR .
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (04) :737-744
[7]   Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models [J].
Chen, Anthony ;
Pravinvongvuth, Surachet ;
Xu, Xiangdong ;
Ryu, Seungkyu ;
Chootinan, Piya .
TRANSPORTATION RESEARCH PART A-POLICY AND PRACTICE, 2012, 46 (08) :1343-1358
[8]   An algorithm for the stochastic user equilibrium problem [J].
Damberg, O ;
Lundgren, JT ;
Patriksson, M .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1996, 30 (02) :115-131
[10]  
LeBlanc L., 1973, MATH PROGRAMMING ALG