Mathematical principles of road congestion pricing
| dc.contributor.author | Pienaar, Wessel J. | en_ZA |
| dc.contributor.author | Nel, J. Hannelie | en_ZA |
| dc.date.accessioned | 2012-07-16T09:40:26Z | |
| dc.date.available | 2012-07-16T09:40:26Z | |
| dc.date.issued | 2009 | |
| dc.description | CITATION: 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.description | The original publication is available at http://orion.journals.ac.za | |
| dc.description.abstract | This 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.description.uri | http://orion.journals.ac.za/pub/article/view/71 | |
| dc.description.version | Publisher's version | en_ZA |
| dc.format.extent | 8 pages ; illustrations | |
| dc.identifier.citation | Pienaar, W. J. & Nel, J. H. 2009. Mathematical principles of road congestion pricing. ORiON, 25(1):45-51, doi:10.5784/25-1-71 | en_ZA |
| dc.identifier.issn | 2224-0004 (online) | |
| dc.identifier.issn | 0259-191X (print) | |
| dc.identifier.other | doi:10.5784/25-1-71 | |
| dc.identifier.uri | http://hdl.handle.net/10019.1/21709 | |
| dc.language.iso | en_ZA | en_ZA |
| dc.publisher | Operations Research Society of South Africa | |
| dc.rights.holder | ORiON | |
| dc.subject | Traffic congestion -- Costs -- Cape Town (South Africa) | en_ZA |
| dc.subject | Traffic congestion -- Costs -- Statistical methods | en_ZA |
| dc.title | Mathematical principles of road congestion pricing | en_ZA |
| dc.type | Article | en_ZA |