Open Access
2013 Stochastic Congestion Pricing among Multiple Regions: Competition and Cooperation
Hua Wang, Wei Mao, Hu Shao
J. Appl. Math. 2013(SI24): 1-11 (2013). DOI: 10.1155/2013/696481


Previous studies of road congestion pricing problem assume that transportation networks are managed by a central administrative authority with an objective of improving the performance of the whole network. In practice, a transportation network may be comprised of multiple independent local regions with relative independent objectives. In this paper, we investigate the cooperative and competitive behaviors among multiple regions in congestion pricing considering stochastic conditions; especially demand uncertainty is taken into account in transportation modelling. The corresponding congestion pricing models are formulated as a bilevel programming problem. In the upper level, congestion pricing model either aims to maximize the regional social welfare in competitive schemes or attempts to maximize the total social welfare of multiple regions in cooperative schemes. In the lower level, travellers are assumed to follow a reliability-based stochastic user equilibrium principle considering risks of late arrival under uncertain conditions. Numerical examples are carried out to compare the effects of different pricing schemes and to analyze the impact of travel time reliability. It is found that cooperative pricing strategy performs better than competitive strategy in improving network performance, and the pricing effects of both schemes are quite sensitive to travel time reliability.


Download Citation

Hua Wang. Wei Mao. Hu Shao. "Stochastic Congestion Pricing among Multiple Regions: Competition and Cooperation." J. Appl. Math. 2013 (SI24) 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.90065
MathSciNet: MR3045406
Digital Object Identifier: 10.1155/2013/696481

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI24 • 2013
Back to Top