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A comparison of two different formulations for arc routing problems on mixed graphs
Authors:Angel Corbern  Enrique Mota  Jos M Sanchis
Affiliation:aDepartament d’Estadística i Investigació Operativa, Facultad de Matemáticas, Universitat de València, Dr. Moliner 50, 46100 Burjassot, Valencia, Spain;bDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, Spain
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.
Keywords:Arc routing  Mixed Chinese postman problem  Mixed rural postman problem  Mixed general routing problem
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