caa a22 4500 445890711 CHVBK 20180317145615.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11116-011-9346-9 doi (NATIONALLICENCE)springer-10.1007/s11116-011-9346-9 Trial-and-error method for congestion pricing scheme under side-constrained probit-based stochastic user equilibrium conditions [Elektronische Daten] [Qiang Meng, Zhiyuan Liu] A toll pattern that can restrict link flows on the tolled links to some predetermined thresholds is named as effective toll solution, which can be theoretically obtained by solving a side-constraint traffic assignment problem. Considering the practical implementation, this paper investigates availability of an engineering-oriented trial-and-error method for the effective toll pattern of cordon-based congestion pricing scheme, under side-constrained probit-based stochastic user equilibrium (SUE) conditions. The trial-and-error method merely requires the observed traffic counts on each entry of the cordon. A minimization model for the side-constrained probit-based SUE problem with elastic demand is first proposed and it is shown that the effective toll solution equals to the product of value of time and optimal Lagrangian multipliers with respect to the side constraints. Then, employing the Lagrangian dual formulation of the minimization method, this paper has built a convergent trial-and-error method. The trial-and-error method is finally tested by a numerical example developed from the cordon-based congestion pricing scheme in Singapore. Springer Science+Business Media, LLC., 2011 Capacity constraint nationallicence Cordon-based congestion pricing nationallicence Elastic demand nationallicence Stochastic user equilibrium nationallicence Trial-and-error method nationallicence Meng Qiang Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore, Singapore aut Liu Zhiyuan Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore, Singapore aut Transportation Springer US; http://www.springer-ny.com 38/5(2011-09-01), 819-843 0049-4488 38:5<819 2011 38 11116 https://doi.org/10.1007/s11116-011-9346-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11116-011-9346-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Meng Qiang Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore, Singapore aut NATIONALLICENCE 700 1- Liu Zhiyuan Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore, Singapore aut NATIONALLICENCE 773 0- Transportation Springer US; http://www.springer-ny.com 38/5(2011-09-01), 819-843 0049-4488 38:5<819 2011 38 11116 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer