Evolutionary-Fragmentary Model of the Routing Problem

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 fr...

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Veröffentlicht in:Cybernetics and systems analysis Jg. 51; H. 3; S. 432 - 437
Hauptverfasser: Kozin, I. V., Kryvtsun, O. V., Pinchuk, V. P.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.05.2015
Springer
Springer Nature B.V
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ISSN:1060-0396, 1573-8337
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Zusammenfassung: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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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-015-9734-9