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On the Generalized Directed Rural Postman Problem

Author

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  • Michael Drexl

    (Johannes Gutenberg University Mainz)

Abstract

The generalized directed rural postman problem (GDRPP) is a generic type of arc routing problem. In the present paper, it is described how many types of practically relevant singlevehicle routing problems can be modelled as GDRPPs. This demonstrates the versatility of the GDRPP and its importance as a unified model for postman problems. In addition, a heuristic solution approach, based on a transformation into the generalized asymmetric travelling salesman problem (GATSP), is presented. Computational experiments using a state-of-theart heuristic for the GATSP (developed by Gutin and Karapetyan [27]) are performed, using a large set of realistic instances. The results show excellent solution quality in short computation time and thus demonstrate the practical usefulness of the transformations. Keywords: arc routing; rural postman problems; graph transformations; heuristics; generalized asymmetric travelling salesman problem

Suggested Citation

  • Michael Drexl, 2012. "On the Generalized Directed Rural Postman Problem," Working Papers 1209, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
  • Handle: RePEc:jgu:wpaper:1209
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    File URL: https://download.uni-mainz.de/RePEc/pdf/Discussion_Paper_1209.pdf
    File Function: First version, 2012
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