The effect of the asymmetry of road transportation networks on the traveling salesman problem

The routing of vehicles on road transportation networks is an area of great importance to transportation planners within scientific literature. This field includes well known and studied problems like traveling salesman problems or TSP or the more realistic asymmetric variant or ATSP, whose applicat...

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Veröffentlicht in:Computers & operations research 2012-07, Vol.39 (7), p.1566-1576
Hauptverfasser: Rodríguez, Alejandro, Ruiz, Rubén
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Ruiz, Rubén
description The routing of vehicles on road transportation networks is an area of great importance to transportation planners within scientific literature. This field includes well known and studied problems like traveling salesman problems or TSP or the more realistic asymmetric variant or ATSP, whose applications extend to other areas of transport and operations research. This work studies the effect that the asymmetry of road transportation networks, geographical location and territory have over TSP and ATSP methods. We conduct comprehensive experiments in order to assess the effects that these factors have on some of the best known algorithms for the TSP/ATSP. We demonstrate that all these factors have a significant influence in solution time and quality. Furthermore, we show that the solutions obtained with Euclidean matrices and those obtained with real distance matrices differ significantly.
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source Elsevier ScienceDirect Journals Complete
subjects Algorithms
Asymmetric traveling salesman problem
Asymmetry
Geographic information systems
Mathematical analysis
Mathematical models
Matrices
Networks
Operations research
Optimization algorithms
Road transportation
Road transportation networks
Routing
Studies
Transportation problem (Operations research)
Traveling salesman problem
title The effect of the asymmetry of road transportation networks on the traveling salesman problem
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