By using appropriate methods of variational analysis, the necessary conditions optimality are established for new classes constrained optimization problems involving multiple and curvilinear integral functionals. Additionally, two illustrative examples provided to support main results formulated in this paper.

To prevent an exploit, the security analyst must implement a suitable countermeasure. In this paper, we consider cost-sensitive attack graphs (CAGs) for network vulnerability analysis. In these attack graphs, a weight is assigned to each countermeasure to represent the cost of its implementation. There may be multiple countermeasures with different weights for preventing a single exploit. Also,...