Abstract

A mathematical model of the industrial enterprises location in the region is formalized and studied in this paper. It is necessary to locate objects polluting the environment in such way as to maximize the total income of the players. The total income is calculated as income from the activities of enterprises, minus the funds that are spent on the recover damage to the environment. This problem is formalized as a non-cooperative game with n players that exploit common sources - natural objects.

Original languageEnglish
Article number012090
Number of pages8
JournalJournal of Physics: Conference Series
Volume1172
Issue number1
DOIs
StatePublished - 1 Apr 2019
EventInternational Conference on Applied Physics, Power and Material Science 2018, ICAPPM 2018 - Secunderabad, Telangana, India
Duration: 5 Dec 20186 Dec 2018

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

@article{c04fb6ed80264249bd2a4aa83363bb30,
title = "A mathematical model of production facilities location",
abstract = "A mathematical model of the industrial enterprises location in the region is formalized and studied in this paper. It is necessary to locate objects polluting the environment in such way as to maximize the total income of the players. The total income is calculated as income from the activities of enterprises, minus the funds that are spent on the recover damage to the environment. This problem is formalized as a non-cooperative game with n players that exploit common sources - natural objects.",
author = "Oleg Malafeyev and Julia Lakhina and Irina Zaitseva and Nadezhda Redinskikh and Tatiana Smirnova and Nikolay Smirnov",
year = "2019",
month = "4",
day = "1",
doi = "10.1088/1742-6596/1172/1/012090",
language = "English",
volume = "1172",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
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}

A mathematical model of production facilities location. / Malafeyev, Oleg; Lakhina, Julia; Zaitseva, Irina; Redinskikh, Nadezhda; Smirnova, Tatiana; Smirnov, Nikolay.

In: Journal of Physics: Conference Series, Vol. 1172, No. 1, 012090, 01.04.2019.

Research output: Contribution to journalConference articleResearchpeer-review

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AU - Malafeyev, Oleg

AU - Lakhina, Julia

AU - Zaitseva, Irina

AU - Redinskikh, Nadezhda

AU - Smirnova, Tatiana

AU - Smirnov, Nikolay

PY - 2019/4/1

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N2 - A mathematical model of the industrial enterprises location in the region is formalized and studied in this paper. It is necessary to locate objects polluting the environment in such way as to maximize the total income of the players. The total income is calculated as income from the activities of enterprises, minus the funds that are spent on the recover damage to the environment. This problem is formalized as a non-cooperative game with n players that exploit common sources - natural objects.

AB - A mathematical model of the industrial enterprises location in the region is formalized and studied in this paper. It is necessary to locate objects polluting the environment in such way as to maximize the total income of the players. The total income is calculated as income from the activities of enterprises, minus the funds that are spent on the recover damage to the environment. This problem is formalized as a non-cooperative game with n players that exploit common sources - natural objects.

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DO - 10.1088/1742-6596/1172/1/012090

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JO - Journal of Physics: Conference Series

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