TY - JOUR
T1 - A congestion-pricing problem with a polycentric region and multi-class users
T2 - A continuum modelling approach
AU - Ho, H. W.
AU - Wong, S. C.
AU - Sumalee, A.
N1 - Funding Information:
The work described in this article was supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKU7126/04E, HKU7183/08E and POLYU5261/07E) and post-doctoral fellowship from The Hong Kong Polytechnic University.
PY - 2013/7
Y1 - 2013/7
N2 - Consider a region of arbitrary shape with multiple cities competing for multi-class users that are distributed continuously over the region. Within this region, the road network is represented as a continuum and users patronise in a two-dimensional continuum transportation system to their chosen city. A logit-type distribution function is specified to model the probabilistic destination choices made by the different classes of users. In this article, two different congestion-pricing models for this multi-class and multi-city continuum transportation system are studied. The first model focused on utility maximisation, which determines the optimal toll rates that maximise the total utility of the system, while the second model is a cordon-based congestion-pricing model that offers a sub-optimal but more practical tolling strategy. Both models are solved by finite element method and a promising Newtonian-based solution algorithm. A numerical example is given to show the effectiveness of the mathematical program and solution algorithm.
AB - Consider a region of arbitrary shape with multiple cities competing for multi-class users that are distributed continuously over the region. Within this region, the road network is represented as a continuum and users patronise in a two-dimensional continuum transportation system to their chosen city. A logit-type distribution function is specified to model the probabilistic destination choices made by the different classes of users. In this article, two different congestion-pricing models for this multi-class and multi-city continuum transportation system are studied. The first model focused on utility maximisation, which determines the optimal toll rates that maximise the total utility of the system, while the second model is a cordon-based congestion-pricing model that offers a sub-optimal but more practical tolling strategy. Both models are solved by finite element method and a promising Newtonian-based solution algorithm. A numerical example is given to show the effectiveness of the mathematical program and solution algorithm.
KW - continuum transportation system
KW - finite element method
KW - logit-type distribution function
KW - multiple user classes
KW - national road pricing
KW - traffic equilibrium
UR - http://www.scopus.com/inward/record.url?scp=84880053154&partnerID=8YFLogxK
U2 - 10.1080/18128602.2011.621652
DO - 10.1080/18128602.2011.621652
M3 - Article
AN - SCOPUS:84880053154
SN - 2324-9935
VL - 9
SP - 514
EP - 545
JO - Transportmetrica A: Transport Science
JF - Transportmetrica A: Transport Science
IS - 6
ER -
