Software tools for analysis and synthesis of stochastic systems with high availability (XIV)

Paper presents the new multi-memetic modification of the Mind Evolutionary Computation (MEC) algorithm with the incorporated landscape analysis (LA) for solving global optimization in problems complex highly available systems (HAS). The proposed landscape analysis is based on the concept of Lebesgue integral and allows one to divide objective functions into three categories. Each category suggests a usage of specific hyper-heuristics for adaptive meme selection. The new algorithm and its software tools were utilized to solve an optimal control problem for the epidemic’s propagation model, based on the SIER model with pulse vaccination. Results of the numerical experiments demonstrate a significant influence of vaccination’s start time, frequency and intensity on the maximum number of infected individuals. Results of the numerical experiments demonstrate a significant influence of vaccination’s start time, frequency and intensity on the maximum number of infected individuals. The proposed algorithm helped to find and the optimal vaccination schedule in order to minimize the number of infect-ed individuals while also maintaining the volume of the utilized vaccine at the low level.