The purpose of this paper is three fold: First, it demonstrates the non-convergence of the bisection method proposed in the literature for the trial-and-error implementation of the marginal-cost pricing in the absence of a demand function. Second, it provides a modified version of the bisection...

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...

This paper examines the efficiency of a tradable travel credit scheme for managing bottleneck congestion and modal split in a competitive highway/transit network with continuous heterogeneity in the individuals’ value of time. Each user is initially endowed with a certain amount of travel...