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Avtomatika i Telemekhanika, 2017, Issue 4, Pages 106–125 (Mi at14773)  
This article is cited in 5 scientific papers (total in 5 papers)

System Analysis and Operations Research

Elements of dynamic programming in local improvement constructions for heuristic solutions of routing problems with constraints

A. A. Petunina, A. A. Chentsovb, A. G. Chentsovba, P. A. Chentsovba

a Ural Federal University, Yekaterinburg, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (1841 kB) Citations (5)
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Abstract: We consider methods for solving routing problems with precedence constraints that use iterative modes based on Bellman insertions while recomputing precedence constraints of the original problem; we assume that the dimension of the latter is sufficiently large, which does not let us, due to complexity of computations, immediately apply dynamic programming in the “global” version.
Keywords: dynamic programming, route, precedence constraints.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Ministry of Education and Science of the Russian Federation 02.А03.21.0006
This work was supported by the Program of the Presidium of the Russian Academy of Sciences in Optimal Control “Mathematical Problems of Modern Control Theory”, “Synthesizing Controls with Incomplete Data, the Reachability Problem, and Dynamic Optimization”; Proposition 211 of the Russian Government, contract no. 02.A03.21.0006.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 13.10.2014
English version:
Automation and Remote Control, 2017, Volume 78, Issue 4, Pages 666–681
DOI: https://doi.org/10.1134/S0005117917040087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Petunin, A. A. Chentsov, A. G. Chentsov, P. A. Chentsov, “Elements of dynamic programming in local improvement constructions for heuristic solutions of routing problems with constraints”, Avtomat. i Telemekh., 2017, no. 4, 106–125; Autom. Remote Control, 78:4 (2017), 666–681
Citation in format AMSBIB
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\issue 4
\pages 106--125
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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