Optimized Security Measure Selection: Leveraging MILP Solvers To Balance Risk And Cost

In this paper, we introduce an innovative opti- mization framework for selecting security measures, based on a granular, attribute-driven approach inspired by the SABSA methodology. Our model distinguishes between four types of measures: independent series, independent parallel, redundant antagonistic, and redundant correlated. The selection problem for security measures is inherently combinatorial and involves nonlinear constraints. To overcome this nonlinearity, we develop tailored linearization techniques, transforming the problem into a mixed-integer linear program- ming (MILP) formulation. The results obtained from practical case studies demonstrate that our method effectively identifies optimal or near-optimal solutions while ensuring that the overall residual risk remains below a specified threshold. Finally, the simulation component of our model is fully automated using Python’s DOcplex library, which optimally implements an MILP solver.

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Publication Details

Published
2025-08-04
DOI
https://doi.org/10.1109/csr64739.2025.11130015
Primary Topic
Systems Engineering Methodologies and Applications
Type
article
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article

Optimized Security Measure Selection: Leveraging MILP Solvers To Balance Risk And Cost

Kamel Adi, Mohamed Mejri, Pierre Saha Fobougong
Systems Engineering Methodologies and Applications
article

Optimized Security Measure Selection: Leveraging MILP Solvers To Balance Risk And Cost

Kamel Adi, Mohamed Mejri, Pierre Saha Fobougong
article en

Abstract

In this paper, we introduce an innovative opti- mization framework for selecting security measures, based on a granular, attribute-driven approach inspired by the SABSA methodology. Our model distinguishes between four types of measures: independent series, independent parallel, redundant antagonistic, and redundant correlated. The selection problem for security measures is inherently combinatorial and involves nonlinear constraints. To overcome this nonlinearity, we develop tailored linearization techniques, transforming the problem into a mixed-integer linear program- ming (MILP) formulation. The results obtained from practical case studies demonstrate that our method effectively identifies optimal or near-optimal solutions while ensuring that the overall residual risk remains below a specified threshold. Finally, the simulation component of our model is fully automated using Python’s DOcplex library, which optimally implements an MILP solver.

X-Fab (Germany) (DE), Université Laval (CA)
Openalex Percentile: Top 73%
Systems Engineering Methodologies and Applications
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Optimized Security Measure Selection: Leveraging MILP Solvers To Balance Risk And Cost — Kamel Adi, Mohamed Mejri, et al. · (2025) | TGRS Research Map | TGRS