A mathematical model of production facilities location

Oleg Malafeyev; Julia Lakhina; Irina Zaitseva; Nadezhda Redinskikh; Tatiana Smirnova; Nikolay Smirnov

doi:10.1088/1742-6596/1172/1/012090

A mathematical model of production facilities location

Oleg Malafeyev, Julia Lakhina, Irina Zaitseva, Nadezhda Redinskikh, Tatiana Smirnova, Nikolay Smirnov

Research output: Contribution to journal › Conference article › peer-review

30 Scopus citations

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 language	English
Article number	012090
Number of pages	8
Journal	Journal of Physics: Conference Series
Volume	1172
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1172/1/012090 https://doi.org/10.1088/1742-6596/1172/1/012090
State	Published - 1 Apr 2019
Event	International Conference on Applied Physics, Power and Material Science 2018, ICAPPM 2018 - Secunderabad, Telangana, India Duration: 5 Dec 2018 → 6 Dec 2018

Scopus subject areas

Physics and Astronomy(all)

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AU - Lakhina, Julia

AU - Zaitseva, Irina

AU - Redinskikh, Nadezhda

AU - Smirnova, Tatiana

AU - Smirnov, Nikolay

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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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VL - 1172

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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A mathematical model of production facilities location

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