Optimal Tradable Credits Scheme and Congestion Pricing with the Efficiency Analysis to Congestion

We allow for three traffic scenarios: the tradable credits scheme, congestion pricing, and no traffic measure. The utility functions of different modes (car, bus, and bicycle) are developed by considering the income's impact on travelers' behaviors. Their purpose is to analyze the demand distribution of different modes. A social optimization model is built aiming at maximizing the social welfare. The optimal tradable credits scheme (distribution of credits, credits charging, and the credit price), congestion pricing fees, bus frequency, and bus fare are obtained by solving the model. Mode choice behavior under the tradable credits scheme is also studied. Numerical examples are presented to demonstrate the model's availability and explore the effects of the three schemes on traffic system's performance. Results show congestion pricing would earn more social welfare than the other traffic measures. However, tradable credits scheme will give travelers more consumer surplus than congestion pricing. Travelers' consumer surplus with congestion pricing is the minimum, which injures the travelers' benefits. Tradable credits scheme is considered the best scenario by comparing the three scenarios' efficiency.