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Models and algorithms for the screen line-based traffic-counting location problems [An article from: Computers and Operations Research]
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Book Details
Author(s)
H. Yang, C. Yang, L. Gan
Publisher
Elsevier
ISBN / ASIN
B000RR7S0Q
ISBN-13
978B000RR7S01
Marketplace
France 🇫🇷
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Description
This digital document is a journal article from Computers and Operations Research, published by Elsevier in . The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
We consider an overlooked, but important, practical problem about the optimal selection of cordon-screen lines for traffic census study in road networks. The problem can be stated as: (1) how to select the optimal locations of a given number of counting stations to separate as many origin-destination (O-D) pairs as possible, (2) how to determine the minimum number of counting stations and their locations required for separating all O-D pairs. Here, an O-D pair is said to be separated if trips between this O-D pair are entirely intercepted by the current traffic-counting stations. The problems of interest are formulated as integer linear-programming models. After exploring the relaxed linear-programming problems and their dual problems, a solution scheme that combines a shortest path-based column generation procedure and a branch-and-bound technique is developed to find an optimal counting location solution. The proposed models and algorithms are illustrated with numerical examples and compared with the genetic algorithm.
Description:
We consider an overlooked, but important, practical problem about the optimal selection of cordon-screen lines for traffic census study in road networks. The problem can be stated as: (1) how to select the optimal locations of a given number of counting stations to separate as many origin-destination (O-D) pairs as possible, (2) how to determine the minimum number of counting stations and their locations required for separating all O-D pairs. Here, an O-D pair is said to be separated if trips between this O-D pair are entirely intercepted by the current traffic-counting stations. The problems of interest are formulated as integer linear-programming models. After exploring the relaxed linear-programming problems and their dual problems, a solution scheme that combines a shortest path-based column generation procedure and a branch-and-bound technique is developed to find an optimal counting location solution. The proposed models and algorithms are illustrated with numerical examples and compared with the genetic algorithm.
