TY - GEN
T1 - Existence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system
AU - Ho, H. W.
N1 - Funding Information:
The authors would like to thank the anonymous referees for their constructive and useful comments on an earlier draft of this paper. The work described in this paper was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No.: RGC HKU 7126/04E).
PY - 2005
Y1 - 2005
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. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.
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. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.
UR - https://www.scopus.com/pages/publications/84894597721
M3 - Conference contribution
AN - SCOPUS:84894597721
SN - 9889884712
SN - 9789889884710
T3 - Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005
SP - 338
EP - 347
BT - Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005
T2 - 10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005
Y2 - 10 December 2005 through 10 December 2005
ER -