**:** ..
**:**
**:** 107
**:**
**:** 2024
**:** .. // . 107. .: , 2024. .88-106. DOI: https://doi.org/10.25728/ubs.2024.107.5

** :** , ,

** (.):** complex systems, complex system structure, risk management

**:** - " " " " . . , . , . , . , , . , .

** (.):** Risk management problems are often addressed using game-theoretic models such as the "Defender Attacker" and "Defender Attacker Defender". Players employ sets of acceptable distributions of limited resources as strategies. In the classical problem settings, the Defender is unable to reduce risk by changing the composition or structure of the system to be protected, as most real systems cannot be altered in such ways or cannot be altered at all. However, the question of the influence of the system structure on its overall risk is still relevant when designing one. Therefore, there is a need for methods to compare structures with each other. This article proposes a modification of the classical formulation of the problem of minimizing the integral risk of a complex system. This modification allows one to quantify the influence of the placement of system elements within a given structure on the value of risk. The study provides a solution to the problem for a simple chain, which is the simplest specific case, as well as an algorithm to build a structure minimizing the risk of a complex system. The result obtained can be used in the future to find solutions to this problem in the case of structures of more complex topologies, such as tree-like ones.

PDF
: 164, : 55, : 21.