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Avtomat. i Telemekh., 2006, Issue 7, Pages 27–40 (Mi at1206)  

This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

Discrete optimization by optimal control methods. III. The dynamic traveling salesman problem

S. I. Sergeev

Moscow State University of Economics, Statistics and Informatics

Abstract: For one of the basic variants of the dynamic minisum traveling salesman problem, a decomposition scheme is designed, which in general gives a new approximate solution algorithm. This algorithm is exact if certain conditions are imposed on the distance matrix. The problem is solved with the sufficient optimality conditions known in optimal control theory.

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English version:
Automation and Remote Control, 2006, 67:7, 1039–1050

Bibliographic databases:

Document Type: Article
PACS: 02.30.Yy, 07.05.Dz, 02.10Ox
Presented by the member of Editorial Board: B. T. Polyak

Received: 18.04.2005

Citation: S. I. Sergeev, “Discrete optimization by optimal control methods. III. The dynamic traveling salesman problem”, Avtomat. i Telemekh., 2006, no. 7, 27–40; Autom. Remote Control, 67:7 (2006), 1039–1050

Citation in format AMSBIB
\Bibitem{Ser06}
\by S.~I.~Sergeev
\paper Discrete optimization by optimal control methods. III.~The dynamic traveling salesman problem
\jour Avtomat. i Telemekh.
\yr 2006
\issue 7
\pages 27--40
\mathnet{http://mi.mathnet.ru/at1206}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2252166}
\zmath{https://zbmath.org/?q=an:1194.90076}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 7
\pages 1039--1050
\crossref{https://doi.org/10.1134/S0005117906070034}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746268001}


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    This publication is cited in the following articles:
    1. S. I. Sergeev, “Hybrid control systems and the dynamic traveling salesman problem”, Autom. Remote Control, 69:1 (2008), 42–51  mathnet  crossref  mathscinet  zmath  isi
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