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On the existence of pricing strategies in the discrete time heterogeneous single bottleneck model

Kien Doan, Satish Ukkusuri and Lanshan Han

Transportation Research Part B: Methodological, 2011, vol. 45, issue 9, 1483-1500

Abstract: In this paper, we study the pricing strategies in the discrete time single bottleneck model with general heterogeneous commuters. We first prove that in the system optimal assignment, the queue time must be zero for all the departures. Based on this result, the system optimal problem is formulated as a linear program. The solution existence and uniqueness are discussed. Applying linear programming duality, we then prove that the optimal dual variable values provide an optimal toll with which the system optimal solution is also an equilibrium solution. Extensive computational results are reported to demonstrate the insights gained from the formulations in this paper. These results confirm that a system optimal equilibrium can be found using the proposed approach.

Keywords: Single bottleneck; User equilibrium; System optimal; Toll strategies; Heterogeneous commuter (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (11)

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DOI: 10.1016/j.trb.2011.05.019

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