A trial-and-error congestion pricing scheme for networks with elastic demand and link capacity constraints

Zhou, Bojian; Bliemer, Michiel C.J.; Yang, Hai; He, Jie

doi:10.1016/j.trb.2014.11.009

Cited by 39 publications

(21 citation statements)

References 17 publications

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“…Alternatively, in this study, the mathematical complexity of the CTAP is overcome by adopting an intuitive interpretation of capacity; that is, the Lagrange multipliers of the capacity constraints are interpreted as additional delay imposed on the oversaturated roads to make them saturated. Such an interpretation has also been employed in the congestion pricing, namely the ''trial-and-error'' methods [18,[61][62][63][64].…”

Section: A Heuristic Methods To Update the Initial-betamentioning

confidence: 99%

A modern congestion pricing policy for urban traffic: subsidy plus toll

Bagloee

Sarvi

2017

J. Mod. Transport.

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Congestion pricing is seen as an effective policy to address traffic congestion. In such policies where money, people and authorities are involved, the success generally hinges upon two factors: equity (being fair) and acceptability (to both people and authorities). The primary concern is the equity, for which ''tradable credit scheme (TCS)'' has been introduced and extensively studied in the literature. Nevertheless, due to the complexity of the trading schemes, the TCS has yet to find any foot in the real world. To this end, a novel idea of rewarding has substituted the trading component to be known as toll-and-subsidy scheme (TSS). The idea is to charge the drivers on some roads (toll) while rewarding them to use other alternative-and perhaps underutilizedroads (subsidy). The research of the TSS is in its infancy stage. The problem to be tackled in this study is as follows: Given a set of roads constituting a cordon line around the central business district (CBD) or across a screen line, how much toll or subsidy should be assigned to each road? The problem is first transformed into a capacitated traffic assignment problem. We employ a solution method based on augmenting the travel time of roads up to the level at which the traffic volumes do not exceed some target rates. A real dataset from the city of Winnipeg, Canada, is used as a pilot study. We then discuss policy-related applications of the TSS. It is proved in the literature that one can obtain optimal TSSs for various objectives and considerations. To this end, the non-negativity of the toll values is relaxed which results in a valid toll set. Nevertheless, the computational time is found to be of highest significance. Our method differs in the fact that the traffic volumes are bounded from the above and it is quite affordable. The main contribution is first to highlight the concept of subsidy along with traditional thought of merely toll. Second is to interpret the Lagrangian values of the capacity constraints as the values of the toll/subsidy.

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Section: A Heuristic Methods To Update the Initial-betamentioning

confidence: 99%

A modern congestion pricing policy for urban traffic: subsidy plus toll

Bagloee

Sarvi

2017

J. Mod. Transport.

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“…In the context of general SUE, Meng and Liu [12] built a trial-and-error method based on the gradient projection algorithm, where the convergence can be guaranteed under mild conditions. Zhou et al [33] developed a new trial-anderror method for the first-best congestion pricing solution with restriction to link capacity constraints. Recently, Xu et al [34] have developed a trial-and-error method for the trafficrestraint congestion pricing scheme in a network with dayto-day flow dynamics.…”

Section: Literature Reviewmentioning

confidence: 99%

A Trial-and-Error Method with Autonomous Vehicle-to-Infrastructure Traffic Counts for Cordon-Based Congestion Pricing

Liu

Zhang

Wang

et al. 2017

Journal of Advanced Transportation

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This study proposes a practical trial-and-error method to solve the optimal toll design problem of cordon-based pricing, where only the traffic counts autonomously collected on the entry links of the pricing cordon are needed. With the fast development and adoption of vehicle-to-infrastructure (V2I) facilities, it is very convenient to autonomously collect these data. Two practical properties of the cordon-based pricing are further considered in this article: the toll charge on each entry of one pricing cordon is identical; the total inbound flow to one cordon should be restricted in order to maintain the traffic conditions within the cordon area. Then, the stochastic user equilibrium (SUE) with asymmetric link travel time functions is used to assess each feasible toll pattern. Based on a variational inequality (VI) model for the optimal toll pattern, this study proposes a theoretically convergent trial-and-error method for the addressed problem, where only traffic counts data are needed. Finally, the proposed method is verified based on a numerical network example.

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“…To the best of our knowledge, none of the mentioned studies propose a piece-wise constant scheme for setting congestion taxes in repeated routing games to achieve a socially optimal flow. In the transportation literature, when the demand and/or the cost functions are unknown, trial-and-error methods have been used for setting the congestion charges (Yang et al, 2010;Zhao and Kockelman, 2006;Wang and Yang, 2012;Zhou et al, 2015;Han and Yang, 2009). For instance, a trial-and-error implementation of marginal-cost pricing on road networks when the demand functions are unknown was introduced in .…”

Section: Previous Studiesmentioning

confidence: 99%

“…A modified bisection method for the trial-and-error implementation of tradable credit scheme (to achieve a revenue-neutral congestion pricing system) was proposed in Wang and Yang (2012). A combination of trial-and-error congestion pricing schemes was studied in Zhou et al (2015) to both consider the minimization of the total system cost and address the capacity constraints. Although extremely powerful in setting and adapting the congestion taxes with minimal knowledge of the demand and based on recent changes in the transportation network, these studies do not consider the day-to-day traffic assignment aspect of the problem.…”

Section: Previous Studiesmentioning

confidence: 99%