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Avtomatika i Telemekhanika, 2021, Issue 8, Pages 159–168
DOI: https://doi.org/10.31857/S0005231021080080
(Mi at15600)
 

This article is cited in 6 scientific papers (total in 6 papers)

Optimization, System Analysis, and Operations Research

Combining solutions of the axial assignment problem

L. G. Afraimovich, M. D. Emelin

Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603950 Russia
Full-text PDF (298 kB) Citations (6)
References:
Abstract: We consider the NP-hard integer three-index axial assignment problem. The task of optimal combination of the pairs of feasible solutions of the problem is posed, and a linear complexity algorithm for its solution is constructed. This algorithm can be used as a supplement to heuristic or approximate algorithms for the three-index assignment problem for post-processing the obtained approximate solutions of the problem. The results of computational experiments, which demonstrate the promising nature of our approach, are presented.
Keywords: axial assignment problem, multiindex problems, approximate algorithms.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 05.11.2020
Revised: 11.01.2021
Accepted: 16.03.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 8, Pages 1418–1425
DOI: https://doi.org/10.1134/S0005117921080087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Afraimovich, M. D. Emelin, “Combining solutions of the axial assignment problem”, Avtomat. i Telemekh., 2021, no. 8, 159–168; Autom. Remote Control, 82:8 (2021), 1418–1425
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at15600
  • https://www.mathnet.ru/eng/at/y2021/i8/p159
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Full-text PDF :13
    References:22
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