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

Project № КП-06-Н 52/7 from 19.11.2021, Funding from National Science Fund of Bulgaria - Ministry of Education and Science, Project Coordinator Prof. Vassil Guliashki

Work Packages

The project objective will be achieved by carrying out research and activities according to the following work package program:

Work package 1: Overview and analysis of the latest research in the field of mathematical models, methods and algorithms applicable to solving optimization problems to achieve high security in communications, problems to find optimal production schedules, as well as problems for better economic sustainability.
  • Task 1.1: Overview and analysis of mathematical models, methods and algorithms applicable in solving optimization problems to achieve high security in communications. Existing attacks will be reviewed and the main vulnerabilities of field programmable gate arrays (FPGAs) regarding security requirements according to FIPS 140-2 will be identified.
  • Task 1.2: Overview and analysis of mathematical models, methods and algorithms applicable to solving problems for finding optimal production schedules.
  • Task 1.3: Overview and analysis of mathematical models, methods and algorithms applicable in solving problems for better sustainability in the economy. Compile a list of key factors contributing to overcoming crises, pandemics and natural disasters.
  • Task 1.4: Overview and analysis of mathematical models, methods and algorithms applicable in solving optimization problems for micro grids in order to achieve better energy resilience.
Work package leader: Assoc. Prof. Dr. Leoneed Kirilov (IICT-BAS)
Work package 2: Formulation of models and development of methods and algorithms for solving tasks to achieve high security in communications.
  • Task 2.1: Formulation of conceptual models and execution of simulations using MATLAB Simulink.
  • Task 2.2: Implementation of hardware models on FPGA using Xilinx System Generator.
  • Task 2.3: Development of algorithms and methods for solving optimization problems and achieving reliable protection in the transmission of video, audio and text files through high-speed, low-cost and low-power communication systems based on programmable matrices (FPGA).
Work package leader: Assoc. Prof. Dr. Galia Marinova (TU-Sofia)
Work package 3: Formulation of mathematical models, methods and algorithms for determining optimal production schedules.
  • Task 3.1: Formulation of single-criteria and multi-criteria models generating optimal production schedules.
  • Task 3.2: Development of heuristic algorithms for solving large-scale tasks for optimal schedules with minimum time for the execution of all operations (makespan).
  • Task 3.3: Development of heuristic algorithms for solving large-scale problems for optimal schedules with multiple criteria.
Work package leader: Assoc. Prof. Dr. Vassil Guliashki (IICT-BAS)
Work package 4: Formulation of models, methods and algorithms for achieving better economic sustainability.
  • Task 4.1: Formulation of agent-based models to achieve better resilience in the economy based on the theory of dynamical systems and the paradigm of complex adaptive systems.
  • Task 4.2: Research on environmental feedback. Simulation studies of the adaptive responses of agents to shocks and the propagation of production interruptions. Development of adaptive strategies for survival in crisis conditions. Formulation of models for determining the investment policy in enterprises.
  • Task 4.3: Modeling the evolutionary development of a company after a crisis event in order to achieve an evolutionarily stable development strategy corresponding to the Nash equilibrium. Development of optimization methods and algorithms for solving problems to achieve better sustainability in the economy.
Work package leader: Chief Assistant Professor Dr. Ilian Petrov
Work package 5: Formulation of models to support decision-making to achieve better energy efficiency.
  • Task 5.1: Formulation of mathematical model / s for optimizing the use of resources using electricity.
  • Task 5.2: Formulation of mathematical model / s for optimization of the schedule of the energy storage system (charging, discharging the batteries, reporting of extreme situations) in the microgrid.
  • Task 5.3: Formulation of mathematical model / s for evaluation of the results, based on organizational and strategic attributes for better energy efficiency.
Work package leader: Prof. DSc. Daniela Borissova (IICT-BAS)
Work package 6: Project management and dissemination of results.
  • Task 6.1: Project management and coordination.
  • Task 6.2: Development of an informative Web site for the project.
  • Task 6.3: Periodic updating of the results obtained under the project.
Work package leader: Assoc. Prof. Dr. Vassil Guliashki (IICT-BAS)

All members of the team will participate as researchers and will contribute to solving the scientific tasks set.