A trial-and-error congestion pricing scheme for networks with elastic demand and link capacity constraints

Bojian Zhou, Michiel Bliemer, Hai Yang and Jie He

Transportation Research Part B: Methodological, 2015, vol. 72, issue C, 77-92

Abstract: This paper proposes a combination of trial-and-error congestion pricing schemes that have been studied in the literature. It not only considers the minimization of the total system cost but also addresses the capacity constraints. A two-level iteration method is proposed for solving the hybrid problem, in which the approximate subgradient projection method is used for the outer level iteration phase, and the partial linearization method is used for the inner level iteration phase. We prove the convergence of the two-level iteration method, under the condition that the subproblem for the inner level iteration is only solved approximately, which makes the method efficient and practical. A numerical example is presented to illustrate the application of the two-level iteration method to the trial-and-error congestion pricing scheme.

Keywords: Trial-and-error congestion pricing scheme; Static traffic assignment; System optimum; Capacity constraints; Partial linearization method; Approximate subgradient projection method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (15)

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DOI: 10.1016/j.trb.2014.11.009

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