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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 7, Pages 1179–1191
DOI: https://doi.org/10.31857/S0044466921070127 (Mi zvmmf11268) 		 
Computer science

Metric approach for finding approximate solutions of scheduling problems

A. A. Lazarev, D. V. Lemtyuzhnikova, N. A. Pravdivets

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466921070127
Abstract: Metric functions are introduced for various classes of single-machine scheduling problems. It is shown how approximate solutions of NP-hard problems can be found using these functions. The metric value is determined by solving a linear programming problem with constraints being systems of linear inequalities for polynomial or pseudopolynomial solvable instances of the problem under study. In fact, the initial instance is projected onto the subspace of solvable problem instances in the introduced metric.
Key words: scheduling theory, metric, approximation, optimization methods.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00458
20-58-S52006
This work was supported in part by the Russian Foundation for Basic Research, project nos. 18-31-00458, 20-58-S52006.
Received: 26.11.2020
Revised: 26.11.2020
Accepted: 11.03.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 7, Pages 1169–1180
DOI: https://doi.org/10.1134/S0965542521070125
Bibliographic databases:
Document Type: Article
UDC: 519.72
Language: Russian
Citation: A. A. Lazarev, D. V. Lemtyuzhnikova, N. A. Pravdivets, “Metric approach for finding approximate solutions of scheduling problems”, Zh. Vychisl. Mat. Mat. Fiz., 61:7 (2021), 1179–1191; Comput. Math. Math. Phys., 61:7 (2021), 1169–1180
Citation in format AMSBIB
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