Geodesic
Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2023), pp. 57-69
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper studies the problem of target allocation in the aerospace defense system. For a more adequate assessment of the effectiveness of means of destruction, a fuzzy (possibilistic) representation of the interception probability is introduced, which makes it possible to take into account their mutual position. A mathematical model of the problem under consideration is developed. The model is reduced to an integer linear programming problem, taking into account the echeloned nature of the aerospace defense system. The proposed approach ensures optimal resource allocation when the means of destruction work together.
Keywords: the weapon-target assignment problem, hybrid uncertainty, fuzzy probabilistic value, possibilistic optimization, equivalent deterministic counterpart, integer linear programming, resource allocation. 
@article{VTPMK_2023_4_a3,
     author = {N. M. Sedakov and A. V. Yazenin},
     title = {Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {57--69},
     year = {2023},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a3/}
}
TY  - JOUR
AU  - N. M. Sedakov
AU  - A. V. Yazenin
TI  - Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2023
SP  - 57
EP  - 69
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a3/
LA  - ru
ID  - VTPMK_2023_4_a3
ER  - 
%0 Journal Article
%A N. M. Sedakov
%A A. V. Yazenin
%T Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2023
%P 57-69
%N 4
%U http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a3/
%G ru
%F VTPMK_2023_4_a3
N. M. Sedakov; A. V. Yazenin. Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2023), pp. 57-69. http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a3/

[1] Yazenin A. V., Basic concepts of the theory of possibilities. Mathematical decision-making apparatus in a hybrid uncertainty, Fizmatlit Publ., Moscow, 2016, 144 pp. (in Russian)

[2] Nahmias S., “Fuzzy variables”, Fuzzy Sets and Systems, 1:2 (1978), 97–110 | DOI | MR | Zbl

[3] Khokhlov M. Yu., Yazenin A. V., “Calculation of numerical characteristics of fuzzy random variables”, Herald of Tver State University. Series: Applied Mathematics, 2003, no. 1, 39–43 (in Russian) | MR

[4] Yazenin A. V., “On the problem of possibilistic optimization”, Fuzzy Sets and Systems, 81 (1996), 133–140 | DOI | MR | Zbl

[5] Yazenin A., Wagenknecht M., Possibilistic Optimization. A Measure-Based Approach, Brandenburgische Technische Universitat, Cottbus, Germany, 1996, 133 pp.

[6] Ahuja R. K., Kumar A., Jha K. C., Orlin J. B., “Exact and heuristic algorithms for the weapon-target assignment problem”, Operations Research, 55:6 (2007), 1136–1146 | DOI | MR | Zbl

[7] Shin M. -K., Lee D., Choi H. -L., Weapon-Target Assignment Problem with Interference Constraints using Mixed-Integer Linear Programming, 2019 | DOI

[8] Wu Y., Lei Y., Z Z., Yang X., Li Q., “Dynamic Multitarget Assignment Based on Deep Reinforcement Learning”, IEEE Access, 10 (2022), 75998–76007 | DOI | MR