A comparison of two different formulations for arc routing problems on mixed graphs

A comparison of two different formulations for arc routing problems on mixed graphs

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Article ID: iaor20072326
Country: United Kingdom
Volume: 33
Issue: 12
Start Page Number: 3384
End Page Number: 3402
Publication Date: Dec 2006
Journal: Computers and Operations Research
Authors: , ,
Keywords: programming: integer, networks: flow
Abstract:

Arc routing problems on mixed graphs have been modelled in the literature either using just one variable per edge or associating to each edge two variables, each one representing its traversal in the corresponding direction. In this paper, and using the mixed general routing problem as an example, we compare theoretical and computationally both formulations as well as the lower bounds obtained from them using Linear Programming based methods. Extensive computational experiments, including some big and newly generated random instances, are presented.

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