Mathematical principles of road congestion pricing
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Operations Research Society of South Africa (ORSSA)
2009-06-01
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| Series: | ORiON |
| Online Access: | http://orion.journals.ac.za/pub/article/view/71 |
| _version_ | 1819229927317176320 |
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| author | WJ Pienaar JH Nel |
| author_facet | WJ Pienaar JH Nel |
| author_sort | WJ Pienaar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T11:20:57Z |
| format | Article |
| id | doaj.art-b70e5f82614d4092801e618e7a52be36 |
| institution | Directory Open Access Journal |
| issn | 2224-0004 |
| language | English |
| last_indexed | 2024-12-23T11:20:57Z |
| publishDate | 2009-06-01 |
| publisher | Operations Research Society of South Africa (ORSSA) |
| record_format | Article |
| series | ORiON |
| spelling | doaj.art-b70e5f82614d4092801e618e7a52be362022-12-21T17:49:05ZengOperations Research Society of South Africa (ORSSA)ORiON2224-00042009-06-0125110.5784/25-1-7171Mathematical principles of road congestion pricingWJ PienaarJH NelThis 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.http://orion.journals.ac.za/pub/article/view/71 |
| spellingShingle | WJ Pienaar JH Nel Mathematical principles of road congestion pricing ORiON |
| title | Mathematical principles of road congestion pricing |
| title_full | Mathematical principles of road congestion pricing |
| title_fullStr | Mathematical principles of road congestion pricing |
| title_full_unstemmed | Mathematical principles of road congestion pricing |
| title_short | Mathematical principles of road congestion pricing |
| title_sort | mathematical principles of road congestion pricing |
| url | http://orion.journals.ac.za/pub/article/view/71 |
| work_keys_str_mv | AT wjpienaar mathematicalprinciplesofroadcongestionpricing AT jhnel mathematicalprinciplesofroadcongestionpricing |