NDLI: Mathematical principles of road congestion pricing

Content Provider	African Journals Online (AJOL)
Author	WJ Pienaar JH Nel
Abstract	This paper briefly considers the objectives of road congestion pricing and identies prereq-uisites to the successful application of such a pricing scheme. The paper is divided into two sections. In the rst section, a mathematical analysis of the constituents of an optimal road congestion price is oered. 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 dierence between the areas of a rect-angle (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.
File Format	PDF
ISSN	0259191X
e-ISSN	22240004
Journal	ORiON
Issue Number	1
Volume Number	25
Language	English
Publisher Date	2009-06-02
Access Restriction	Open
Subject Keyword	Chemistry Mathematics Physics Average cost congestion pricing demand function marginal cost marginal cost pricing road congestion traffic flow.
Content Type	Text
Resource Type	Article
Subject	Chemistry

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