## Prof. V.V. Kalashnikov

Prof. V.V. Kalashnikov (born 1942), Dr. Sci. (Phys. and
Math.), Institute for Systems Studies and Moscow Physics-
Technical Institute. He is a distinguished mathematician in
applied probability theory, mathematical system theory,
simulation. He was awarded State Prize (1986) for research in
modeling an simulation field.
He received fundamental results in
probability theory, queuing and reliability, complex systems
theory.
He suggested a new method (trial function method) for
studying such properties of Markov processes as stability,
convergence rate, passage-times, regularity and boundedness. It
implied prominent results in queuing and reliability theories
leading to new criteria and quantitative estimates. In recent
works he developed coupling method and probability metric
approach. These approaches permitted to receive new effective
estimates in limit theorems, renewal theory, theory of
regenerative processes, in reliability and stability of queues,
in characterization of queues.

Another field of his interests is
a construction of general-purpose simulation system and
organizing of simulation experiments. He suggested a new
formalization for stochastic complex systems and some simulation
experiments having solid mathematical base (earlier such
experiments were impossible at all). He also suggested some
empirico-statistical methods for narrative texts analysis.

Among well-known books written by Prof. V.V. Kalashnikov
are: "Lectures on Complex Systems Theory" (together with N.P.
Buslenko and I.N. Kovalenko), "Qualitative Analysis of Complex
Systems Behaviour by Trial Functions Method", "Mathematical
Methods for Construction of Stochastic Queueing Systems"
(together with S.T. Rachev), "Technology of System Modeling and
Simulation" (together with co-authors), "Semi-Markov Processes"
(together with co-authors), "Reliability of Technical Systems"
(together with co-authors), "Handbook on Queueing Theory"
(together with co-authors). These books were published or
translated in different countries. Besides he wrote several
popular books on the mentioned topics.

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