Theory and methods of idempotent algebra, modeling and performance evaluation of stochastic dyscrete event dynamical systems.
Main publications:
Nikolai Krivulin, “Unbiased estimates for gradients of stochastic network performance measures”, Acta Applicandae Mathematicae, 33 (1993), 21–43
N. K. Krivulin, “A recursive equations based representation for the G/G/m queue”, Applied Mathematics Letters, 7:3 (1994), 73–78
N. K. Krivulin, “A max-algebra approach to modeling and simulation of tandem queueing systems”, Mathematical and Computer Modelling, 22:3 (1995), 25–37
N. K. Krivulin, “Solution of generalized linear vector equations in idempotent algebra”, Vestnik St. Petersburg University: Mathematics, 39:1 (2006), 16–26
N. K. Krivulin, Idempotent algebra methods for problems in modelling and analysis of complex systems, St. Petersburg University, St. Petersburg, 2009 (in Russian)