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Optimizing toll levels using linear approximation approach
Linköping University, Department of Science and Technology, Communications and Transport Systems. (Trafiksystem)ORCID iD: 0000-0002-1367-6793
Department of Civil and Structural Engineering, Hong Kong Polytechnic University.
2009 (English)In: 4th Kuhmo Nectar Conference, 2009Conference paper, Published paper (Refereed)
Abstract [en]

This paper proposes a heuristic solution algorithm for solving the non-convex toll level problem for fixed demand networks in which the road users are distributed according to a user equilibrium. In the toll level problem we search for continuous toll levels, given a fixed set of tollable links, to minimize the total travel time in the traffic network. The toll level problem is converted by a linearization scheme to approximate the objective function and constraints in the original problem. This approximation gives a mixed integer linear program (MILP) which has the property of global optimum, and gives a lower bound estimation of the original non-linear problem. The user equilibrium condition is represented by the variational inequality (VI) constraints, and the MILP approximation is solved by applying a cutting constraint algorithm (to deal with the VI-constraints) together with a commercial MILP-solver. Numerical results are presented for a small network, and the results are encouraging.

Place, publisher, year, edition, pages
2009.
Keyword [en]
congestion pricing, network design, global optimization, bi-level optimization
National Category
Other Civil Engineering
Identifiers
URN: urn:nbn:se:liu:diva-19766OAI: oai:DiVA.org:liu-19766DiVA: diva2:228483
Available from: 2009-08-03 Created: 2009-08-03 Last updated: 2013-09-12

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Ekström, Joakim

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