Multi-class time reliability-based congestion pricing model based on a degradable transportation network

Abstract

Please cite this article as: Bing-quan Liu, Chong-chao Huang, Multi-class time reliability-based congestion pricing model on degradable transportation network, Applied Mathematical Modelling (2015), Highlights• We propose a traffic assignment model according to day-to-day capacity degradations.• Robust effective path travel time is employed to capture travelers' path choice behaviors.• Contractive safety margin is adopted to approximate the actual margin along the path.• A time reliability-based congestion pricing model is formulated.• The pricing model reflects the robustness of travelers' economic benefit. AbstractThis paper presents a multi-class time reliability-based user equilibrium model with elastic demand on the degradable transportation network. Due to the uncertainties of path travel time induced by random capacity degradation, the model captures travelers' path choice behaviors in form of robust effective path travel time and is no need of known travel time probability distribution. Involving travelers' heterogeneous degrees of risk-aversion, the equilibrium model can be transformed into an equivalent variational inequality (VI) problem. Then a heuristic solution algorithm is proposed to solve the VI problem. Taking the VI model as a constraint, a multi-class time reliability-based congestion pricing model is formulated as a mathematical programming with equilibrium constraints (MPEC) problem, which can be solved by the sensitivity analysis-based conjugate sub-gradient projection method. Two numerical examples are provided to illustrate the applications of the presented models and efficiencies of the solution algorithms.

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