Continuous price and flow dynamics of tradable mobility credits

This study examines the price and flow dynamics under a tradable credit scheme, when the credits can be traded in a free market. A continuous dynamic model in a finite time horizon is proposed to describe the travelers’ learning behavior and the evolution of network flows and credit price, and then the existence and uniqueness of the equilibria are established. The conditions for stability and convergence of the dynamic system as the time horizon extends to infinity and the impact of limited implementation time horizon on the system behavior are investigated.

[1]  W. A. Kirk,et al.  An Introduction to Metric Spaces and Fixed Point Theory , 2001 .

[2]  Anjali Mahendra.  Vehicle Restrictions in Four Latin American Cities: Is Congestion Pricing Possible? , 2008 .

[3]  Hai Yang,et al.  Bisection-based trial-and-error implementation of marginal cost pricing and tradable credit scheme , 2012 .

[4]  Martin L. Hazelton,et al.  Bayesian inference for day-to-day dynamic traffic models , 2013 .

[5]  Henry X. Liu,et al.  Bounded rationality and irreversible network change , 2011 .

[6]  Xiaolei Guo,et al.  A link-based day-to-day traffic assignment model , 2010 .

[7]  P. Lancaster,et al.  The theory of matrices : with applications , 1985 .

[8]  Henry X. Liu,et al.  Modeling the day-to-day traffic evolution process after an unexpected network disruption , 2012 .

[9]  Xiaoning Zhang,et al.  Improving travel efficiency by parking permits distribution and trading , 2011 .

[10]  Giulio Erberto Cantarella,et al.  Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory , 1995, Transp. Sci..

[11]  Terry L. Friesz,et al.  Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems , 1994, Oper. Res..

[12]  Hai Yang,et al.  Managing network mobility with tradable credits , 2011 .

[13]  J. Viegas.  Making urban road pricing acceptable and effective: searching for quality and equity in urban mobility , 2001 .

[14]  Hong Kam Lo,et al.  Stability and attraction domains of traffic equilibria in a day-to-day dynamical system formulation , 2010 .

[15]  Hai Yang,et al.  Efficiency of the plate-number-based traffic rationing in general networks , 2010 .

[16]  Hai Yang,et al.  Traffic Rationing and Short-Term and Long-Term Equilibrium , 2010 .

[17]  Peter Nijkamp,et al.  Tradeable Permits: Their Potential in the Regulation of Road Transport Externalities , 1997 .

[18]  Hai Yang,et al.  Design of more equitable congestion pricing and tradable credit schemes for multimodal transportation networks , 2012 .

[19]  Anna Nagurney,et al.  On the local and global stability of a travel route choice adjustment process , 1996 .

[20]  Hsun-Jung Cho,et al.  Day-to-day vehicular flow dynamics in intelligent transportation network , 2005, Math. Comput. Model..

[21]  Haynes C. Goddard,et al.  Using Tradeable Permits to Achieve Sustainability in the World's Large Cities: Policy Design Issues and Efficiency Conditions for Controlling Vehicle Emissions, Congestion and Urban Decentralization with an Application to Mexico City , 1997 .

[22]  Yafeng Yin,et al.  Managing rush hour travel choices with tradable credit scheme , 2013 .

[23]  Hai Yang,et al.  Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users , 2013 .

[24]  Hai Yang,et al.  Tradable Travel Credits for Congestion Management with Heterogeneous Users , 2012 .

[25]  Giulio Erberto Cantarella,et al.  Day-to-day dynamic models for intelligent transportation systems design and appraisal , 2013 .

[26]  Martin L. Hazelton,et al.  The Dynamics and Equilibria of Day-to-Day Assignment Models , 2003 .

[27]  Yu Nie,et al.  Transaction costs and tradable mobility credits , 2012 .

[28]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[29]  Richard Mounce,et al.  A splitting rate model of traffic re-routeing and traffic control , 2011 .

[30]  J. Horowitz.  The stability of stochastic equilibrium in a two-link transportation network , 1984 .

[31]  D. Watling.  STABILITY OF THE STOCHASTIC EQUILIBRIUM ASSIGNMENT PROBLEM: A DYNAMICAL SYSTEMS APPROACH , 1999 .

[32]  Lanshan Han,et al.  On a link-based day-to-day traffic assignment model , 2012 .

[33]  E. Cascetta.  A stochastic process approach to the analysis of temporal dynamics in transportation networks , 1989 .

[34]  Lucas W. Davis.  The Effect of Driving Restrictions on Air Quality in Mexico City , 2008, Journal of Political Economy.

[35]  Fan Yang,et al.  Day-to-day stationary link flow pattern , 2009 .

[36]  Hai Yang,et al.  Traffic rationing and pricing in a linear monocentric city , 2014 .

[37]  Michael J. Smith,et al.  The Stability of a Dynamic Model of Traffic Assignment - An Application of a Method of Lyapunov , 1984, Transp. Sci..

[38]  Giulio Erberto Cantarella,et al.  Modelling dynamics in transportation networks: State of the art and future developments , 1993, Simul. Pract. Theory.