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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023 Issue 4, Pages 57–69 (Mi vtpmk698)

System Analysis, Control and Data Processing

Optimization of target allocation in the aerospace defense based on a possibilistic-probabilistic approach

N. M. Sedakova, A. V. Yazeninab

a Tver State University, Tver
b JSC NPP Ergocenter, Tver

Abstract: 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.

UDC: 519.95

Received: 27.11.2023
Revised: 14.12.2023

DOI: 10.26456/vtpmk698



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© Steklov Math. Inst. of RAS, 2025