Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/87427
Title: Discrete-time day-to-day dynamic congestion pricing scheme considering multiple equilibria
Authors: Han, Linghui
Wang, David Zhi Wei
Lo, Hong K.
Zhu, Chengjuan
Cai, Xingju
Keywords: Road Pricing
Traffic Dynamic Control
Issue Date: 2017
Source: Han, L., Wang, D. Z. W., Lo, H. K., Zhu, C., & Cai, X. (2017). Discrete-time day-to-day dynamic congestion pricing scheme considering multiple equilibria. Transportation Research Part B: Methodological, 104, 1-16.
Series/Report no.: Transportation Research Part B: Methodological
Abstract: In this study, we focus on the discrete-time day-to-day dynamic congestion pricing scheme which varies the toll on a day-to-day basis and aims to drive the traffic system to a given objective traffic equilibrium state. As is well known, due to the asymmetric nature of the travel cost functions, multiple equilibria exist. In this case, without external force, the traffic system cannot converge to the traffic equilibrium state as desired by traffic management through a day-to-day adjustment process if the initial traffic state does not fall into its attraction domain (Bie and Lo, 2010). Therefore, it is imperative for traffic management to propose a traffic control measure to ensure the desired traffic state can be achieved regardless of the initial traffic state. Previous studies on the day-to-day dynamic congestion pricing, either worked on continues-time day-to-day pricing scheme, or took the form of discrete-time day-to-day pricing scheme but did not guarantee the convergence to the desired objective traffic state for the cases when multiple traffic equilibria exist. Both are undesirable. This study aims to develop a discrete-time day-to-day pricing scheme so as to direct the traffic evolution to reach the desired equilibrium from any initial traffic state when multiple traffic equilibria exist. Based on the very general formulation of day-to-day traffic dynamics model, we present a general formulation of such day-to-day pricing schemes and propose a method to obtain one specific road pricing scheme. Moreover, we present rigorous proofs and numerical tests to verify the proposed pricing scheme.
URI: https://hdl.handle.net/10356/87427
http://hdl.handle.net/10220/44434
ISSN: 0191-2615
DOI: 10.1016/j.trb.2017.06.006
Rights: © 2017 Elsevier Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by Transportation Research Part B: Methodological, Elsevier Ltd. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.trb.2017.06.006].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:CEE Journal Articles

Files in This Item:
File Description SizeFormat 
Discrete-time day-to-day dynamic congestion pricing scheme considering multiple equilibria.pdf869.36 kBAdobe PDFThumbnail
View/Open

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.