Mathematical Models, Methods and Algorithms for Solving Difficult Optimization Problems for Achieving High Security in Communications and Better Economic Sustainability

In today's world, shaken by pandemics, economic crises and natural disasters, it is necessary to make decisions of different nature and arising at different levels of management, which is associated with the rapid preparing development plans, optimal schedules for the implementation of sequences of activities, exchange of data through secure communications. This requires expert knowledge and formulation of adequate mathematical models, development and use of various well-grounded methods and algorithms for highly effective solution of difficult optimization problems. The essence of the single-criteria models guarantees the obtaining a strictly optimal solution, and the use of multi-criteria models ensures the obtaining the Pareto-optimal solutions. In the case of group decision-making models, the aim is to find a suitable reasonable alternative that gives the best solution to the respective problem. In all these models and algorithms to support the decision-making process, different quantitative and qualitative criteria are taken into account.
The main goal of the project proposal is related to the formulation of mathematical models and algorithms for solving difficult optimization problems for schedules and for achieving high security in communications and better resilience in the economy in overcoming disasters and crises. To achieve this goal it is planned:

• to make an in-depth analysis of the latest research in the field of communications security, scheduling and sustainable economic development in cases of disasters and crises;
• to formulate single criteria models for solving the indicated tasks;
• to formulate multicriteria models for determining Pareto-optimal solutions of the indicated problems;
• to propose models for group decision-making, helping to choose the best alternative.