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...

Full description

Saved in:
Bibliographic Details
Published in:Cybernetics and systems analysis Vol. 51; no. 3; pp. 432 - 437
Main Authors: Kozin, I. V., Kryvtsun, O. V., Pinchuk, V. P.
Format: Journal Article
Language:English
Published: New York Springer US 01.05.2015
Springer
Springer Nature B.V
Subjects:
Artificial Intelligence
Combinatorial analysis
Combinatorics
Control
Cybernetics
Density
Feasibility
Lattices
Lower bounds
Mathematical analysis
Mathematics
Mathematics and Statistics
Optimization
Optimization algorithms
Processor Architectures
Routing
Software Engineering/Programming and Operating Systems
Studies
Systems Theory
combinatorial optimization
routing density
routing problem
fragmentary structure
evolutionary model
ISSN:1060-0396, 1573-8337
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-015-9734-9