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Optimization “In Windows” for Routing Problems with Constraints

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1090))

Abstract

We investigate the problem of sequentially visiting a number of megalopoleis while satisfying precedence constraints where the travel cost functions depend on the set of pending tasks. It is supposed that the dimension of the investigated problem is sufficiently large, therefore, an exact solution is practically impossible; in these circumstances, heuristics are used very widely. We investigate some possibilities for local improvement of results achievable in a class of heuristics. For such improvement of a result, optimizing insertions and finite systems of optimizing insertions are used. We view these systems as multi-insertions. The given approach is combined with the employment of a parallel algorithm implemented for a multiprocessor computing system. The optimizing insertions are designed by means of a broadly understood dynamic programming.

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Notes

  1. 1.

    see http://www.cs.nott.ac.uk/~pszdk/gtsp.html.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Alexander G. Chentsov, Alexey M. Grigoryev & Alexey A. Chentsov

  2. Ural Federal University, Ekaterinburg, Russia

    Alexander G. Chentsov

Authors
  1. Alexander G. Chentsov
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  2. Alexey M. Grigoryev
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  3. Alexey A. Chentsov
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Corresponding author

Correspondence to Alexander G. Chentsov .

Editor information

Editors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Igor Bykadorov

  2. University of Greenwich, London, UK

    Vitaly Strusevich

  3. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

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Chentsov, A.G., Grigoryev, A.M., Chentsov, A.A. (2019). Optimization “In Windows” for Routing Problems with Constraints. In: Bykadorov, I., Strusevich, V., Tchemisova, T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Communications in Computer and Information Science, vol 1090. Springer, Cham. https://doi.org/10.1007/978-3-030-33394-2_36

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  • DOI: https://doi.org/10.1007/978-3-030-33394-2_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33393-5

  • Online ISBN: 978-3-030-33394-2

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