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Section: Scientific Foundations

Scientific Foundations

The main mathematical tools and formalisms used in Maestro include:

  • theory of stochastic processes: Markov process, point process, Palm measure, large deviations, branching process, mean-field approximation;

  • theory of dynamical discrete-event systems: queues, fluid approximation;

  • theory of control and scheduling: dynamic programming, Markov decision process, game theory, deterministic and stochastic scheduling, pathwise comparison;

  • theory of singular perturbations;

  • random matrix theory.