Optimal Control for Congestion Pricing: Theory, Simulation, and Evaluation
Document Type
Article
Publication Date
1-1-2016
Publication Title
IEEE Transactions on Intelligent Transportation Systems
Volume
PP
Issue
99
Abstract
This paper presents a mathematical framework for dynamic congestion pricing. The objective is to calculate an optimal toll using the optimal control theory. The problem consists of tolled lanes or routes and alternate non-tolled lanes or routes. The model is developed using a traffic conservation law, the queuing theory, and fundamental macroscopic relationships. A logit model is used for establishing the relationship between the price and the driver's choice behavior. We design a cost function and then use Hamilton-Jacobi-Bellman equation to derive an optimal control law that uses real-time information to determine an optimal tolling price. Simulations are performed to demonstrate the performance of this optimal control congestion-pricing algorithm. © 2016 IEEE.
Keywords
chattering; congestion pricing; logit; Optimal control; saturation function
Language
English
Repository Citation
Kachroo, P.,
Gupta, S.,
Agarwal, S.,
Ozbay, K.
(2016).
Optimal Control for Congestion Pricing: Theory, Simulation, and Evaluation.
IEEE Transactions on Intelligent Transportation Systems, PP(99),
http://dx.doi.org/10.1109/TITS.2016.2601245