Article ID: | iaor20082694 |
Country: | United Kingdom |
Volume: | 6 |
Issue: | 2 |
Start Page Number: | 239 |
End Page Number: | 257 |
Publication Date: | Jun 2007 |
Journal: | Journal of Mathematical Modelling and Algorithms |
Authors: | Huang Hai-Jun, Wong S.C., Lam William H.K., Li Zhi-Chun |
Keywords: | lagrange multipliers, programming: mathematical |
This paper presents a model for evaluation of transport policies in multimodal networks with road and parking capacity constraints. The proposed model simultaneously considers choices of travelers on route, parking location and mode between auto and transit. In the proposed model, it is assumed that auto drivers make a simultaneous route and parking location choice in a user equilibrium manner, and the modal split between auto and transit follows a multinomial logit formulation. A mathematical programming model with capacity constraints on road link and parking facilities is proposed that generates optimality conditions equivalent to the requirements for multimodal network equilibrium. An augmented Lagrangian dual algorithm embedded by partial linearization approach is developed to solve the proposed model. Numerical results on two example networks are presented to illustrate the proposed methodology. The results show that the service level of transit, parking charges, road link and parking capacities, and addition of a new parking location may bring significant impacts on travelers’ behavior and network performance. In addition, transport policies may result in paradoxical phenomenon.