Compromise solution in the problem of change state control for the material body exposed to the external medium

O. A. Malafeyev, N. D. Redinskikh

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

5 Citations (Scopus)

Abstract

The problem of finding optimal temperature control of the material body state under the unknown in advance parameters of the external medium is formalized and studied in this paper. The problems of this type arise frequently in the real life. An optimal thermal regime is necessary to apply at the soil thawing or freezing, drying the building materials, heating the concrete to obtain the required strength, and so on. Problems of such type one can analyze making use the apparatus and methods of game theory. For describing the influence of external medium on the characteristics of different materials we make use the many-step two person zero-sum game in this paper. The compromise solution is taken as the optimality principle. The numerical example is given.

Original languageEnglish
Title of host publicationEIGHTH POLYAKHOV'S READING
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics
Number of pages4
Volume1959
ISBN (Electronic)9780735416604
DOIs
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading - Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1959
ISSN (Print)0094-243X

Conference

ConferenceInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg
Period29/01/182/02/18

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Malafeyev, O. A., & Redinskikh, N. D. (2018). Compromise solution in the problem of change state control for the material body exposed to the external medium. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics (Vol. 1959). [080017] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034734
Malafeyev, O. A. ; Redinskikh, N. D. / Compromise solution in the problem of change state control for the material body exposed to the external medium. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).
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abstract = "The problem of finding optimal temperature control of the material body state under the unknown in advance parameters of the external medium is formalized and studied in this paper. The problems of this type arise frequently in the real life. An optimal thermal regime is necessary to apply at the soil thawing or freezing, drying the building materials, heating the concrete to obtain the required strength, and so on. Problems of such type one can analyze making use the apparatus and methods of game theory. For describing the influence of external medium on the characteristics of different materials we make use the many-step two person zero-sum game in this paper. The compromise solution is taken as the optimality principle. The numerical example is given.",
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Malafeyev, OA & Redinskikh, ND 2018, Compromise solution in the problem of change state control for the material body exposed to the external medium. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. vol. 1959, 080017, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics: 8th Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034734

Compromise solution in the problem of change state control for the material body exposed to the external medium. / Malafeyev, O. A.; Redinskikh, N. D.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 080017 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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Malafeyev OA, Redinskikh ND. Compromise solution in the problem of change state control for the material body exposed to the external medium. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Vol. 1959. American Institute of Physics. 2018. 080017. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034734