• Algebraic methods in analysis of discrete event systems
  Max-Plus algebra and Minimax algebra models of discrete event systems, linear equations and spectral theory of matrices in Max-Plus algebra, polynomials and rational functions in Max-Plus algebra, Max-Plus algebra methods in optimization, idempotent analysis
• Analysis and optimization of queueing systems
  recursive equations based models of queueing systems, performance and performability evaluation, sensitivity analysis, perturbation analysis, stochastic methods in simulation-based optimization of queueing systems
• Computer simulation and Monte Carlo methods
  computer simulation of stochastic systems, parallel simulation algorithms, analysis of simulation output, unbiased estimation, variance reduction techniques
• Parallel and distributed computing
  
• Computer security
  
• Applied and computational statistics
  
• Methods of optimization
  methods of global optimization, combinatorial optimization and integer programming, methods of multiextremal and non-convex optimization, stochastic methods and random search, applications of optimization methods, methods for least median of squares regression

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