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Evolutionary-Fragmentary Model of the Routing Problem

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Cybernetics and Systems Analysis Aims and scope

Abstract

One of the variants of the routing problem on a plane integer lattice is considered. It is shown that this problem can be represented as a problem of searching for words with certain properties over a finite alphabet. In turn, the problem of finding optimal words can be considered as a problem of fragmentary structure. A combinatorial estimate for the set of feasible words is derived and the lower bound of the density is established for the problem of finding optimal line density. An evolutionary-fragmentary model of the routing problem is constructed. Optimal and near-optimal solutions are obtained for this problem for small dimensions.

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Authors and Affiliations

  1. Zaporizhzhya National University, Zaporizhzhya, Ukraine

    I. V. Kozin, O. V. Kryvtsun & V. P. Pinchuk

Authors
  1. I. V. Kozin
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  2. O. V. Kryvtsun
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  3. V. P. Pinchuk
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Correspondence to I. V. Kozin.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2015, pp. 125–131.

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Kozin, I.V., Kryvtsun, O.V. & Pinchuk, V.P. Evolutionary-Fragmentary Model of the Routing Problem. Cybern Syst Anal 51, 432–437 (2015). https://doi.org/10.1007/s10559-015-9734-9

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  • DOI: https://doi.org/10.1007/s10559-015-9734-9

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