Priority recovery method for critical components of a mobile-platform-based information system using the decomposition of their contributions to the integral survivability index increment

Abstract

This paper considers the problem of determining the recovery sequence for critical components in a mobile platform-based information system under budget constraints and functional dependencies. The study aims to enhance the justification of priority recovery decisions by accounting for both direct and group recovery effects. A normalized, bounded, and monotonic set function is formulated to represent the increment in the integral survivability index. The aggregate recovery outcome is distributed utilizing the Möbius transform and component contributions derived from cooperative game theory. The proposed methodological improvement involves applying this mathematical framework to a residual increment function, which is recalculated after each completed recovery action. This approach accounts for previously implemented direct and group effects, preventing their redundant attribution. Component priority is determined based on the lower estimate of the residual contribution, along with normalized resource, time, and communication costs. To reduce the computational burden, the decomposition is localized to connected subsets of the active dependency graph by constraining the maximum interaction order and controlling the approximation error. A reproducible simulation experiment was conducted for additive, overlapping, synergistic, and mixed component-interaction scenarios across various available budget levels. The results demonstrate the superiority of utilizing residual component contributions in the presence of pronounced group interactions and confirm a substantial reduction in the number of evaluated subsets due to localization. The study identifies applicability limitations related to the completeness of the dependency graph, the accuracy of the evaluation function, the single-resource nature of the simulation experiment, and the necessity for further validation on a physical mobile platform.