Mathematical principles of road congestion pricing

dc.contributor.authorPienaar, Wessel J.en_ZA
dc.contributor.authorNel, J. Hannelieen_ZA
dc.identifier.citationPienaar, W. J. & Nel, J. H. 2009. Mathematical principles of road congestion pricing. ORiON, 25(1):45-51, doi:10.5784/25-1-71en_ZA
dc.identifier.issn2224-0004 (online)
dc.identifier.issn0259-191X (print)
dc.descriptionCITATION: Pienaar, W. J. & Nel, J. H. 2009. Mathematical principles of road congestion pricing. ORiON, 25(1):45-51, doi:10.5784/25-1-71.
dc.descriptionThe original publication is available at
dc.description.abstractThis paper briefly considers the objectives of road congestion pricing and identifies prerequisites to the successful application of such a pricing scheme. The paper is divided into two sections. In the first section, a mathematical analysis of the constituents of an optimal road congestion price is offered. The eliminated inefficiency loss achieved by the introduction of a congestion levy is usually evaluated by means of an integral involving marginal trip cost, travel demand and average trip cost in two-dimensional (travel time, traffic flow)-space. In this section we show that this loss may, in fact, be evaluated more easily for a general marginal trip cost function and a linear demand function as the difference between the areas of a rectangle (representing the part of road agency revenue that lies below the original trip cost) and a triangle (representing the loss of consumer surplus of the reduced traffic) in (travel time, traffic flow)-space, eliminating the need to use integration. The next section deals with the application of the illustrated mathematical principles and proofs to a hypothetical case study relating to road congestion pricing in Cape Town.en_ZA
dc.format.extent8 pages ; illustrations
dc.publisherOperations Research Society of South Africa
dc.subjectTraffic congestion -- Costs -- Cape Town (South Africa)en_ZA
dc.subjectTraffic congestion -- Costs -- Statistical methodsen_ZA
dc.titleMathematical principles of road congestion pricingen_ZA
dc.description.versionPublisher's versionen_ZA

Files in this item


This item appears in the following Collection(s)