Mathematical Model of Maximizing the Value of the Integral Index of State Border Security

Abstract

Purpose. To develop an optimization mathematical model for maximizing the value of the integral index of state border security.

Method. The model is based on the integral index of state border security (IBS) as an objective function that needs to be maximized. The variables in the model are not the indicators themselves, but the controlling influences or resources aimed at improving these indicators.

Findings. А mathematical model for maximizing the value of the integral security index of the state border was developed and implemented in the Matlab environment.

Theoretical implications. Theoretically, the methodology enriches the field of mathematical modeling in security systems by demonstrating how evaluation indices can be transformed into optimization problems.

Originality/Value. The novelty lies in the integration of the evaluation model and aggregation of the objective function to a specific IIB index with elements of mathematical programming for optimal resource allocation in the context of state border security.

Future research. In the course of further research, it is advisable to process the input data and develop a software product for computer support.

Paper type. Theoretical.

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References

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Published
2025-08-31
How to Cite
Shevchuk, V. (2025). Mathematical Model of Maximizing the Value of the Integral Index of State Border Security. Social Development and Security, 15(4), 29-35. https://doi.org/10.33445/sds.2025.15.4.3
Section
National Security