TY - JOUR
T1 - Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes
AU - Ho, H. W.
AU - Wong, S. C.
AU - Loo, Becky P.Y.
N1 - Funding Information:
The work described in this paper was supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU7134/03E and HKU7126/04E). The second author is a Visiting Scholar of the Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, China. We would like to thank two anonymous referees for their helpful suggestions and critical and constructive comments on an earlier version of the paper.
PY - 2006/9
Y1 - 2006/9
N2 - Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. A user equilibrium condition results when users freely make their choice of facilities and their optimal routes within this continuum based on the criterion of minimizing the total facility and travel cost. A logit-type demand distribution function is specified to model the probabilistic choice behavior of destinations for the multi-class users. Furthermore, facility externality is introduced to capture the effect of congestion and economies of scale, as the usage of the facility varies. A mathematical program is formulated for the above complex problem, and a promising solution algorithm is developed. Finally, a numerical example is given to show the feasibility of the mathematical program and the effectiveness of the solution algorithm.
AB - Consider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. A user equilibrium condition results when users freely make their choice of facilities and their optimal routes within this continuum based on the criterion of minimizing the total facility and travel cost. A logit-type demand distribution function is specified to model the probabilistic choice behavior of destinations for the multi-class users. Furthermore, facility externality is introduced to capture the effect of congestion and economies of scale, as the usage of the facility varies. A mathematical program is formulated for the above complex problem, and a promising solution algorithm is developed. Finally, a numerical example is given to show the feasibility of the mathematical program and the effectiveness of the solution algorithm.
KW - Assignment
KW - Continuum modeling
KW - Distribution
KW - Finite element method
KW - Multiple user classes
UR - https://www.scopus.com/pages/publications/33646695474
U2 - 10.1016/j.trb.2005.09.003
DO - 10.1016/j.trb.2005.09.003
M3 - Article
AN - SCOPUS:33646695474
SN - 0191-2615
VL - 40
SP - 633
EP - 650
JO - Transportation Research Part B: Methodological
JF - Transportation Research Part B: Methodological
IS - 8
ER -
