Yu.Germeier contributed greatly in the OR theory by his invention and development of
the principle of guaranteed result [9]. He investigated non-antagonistic games where players
have incomplete information on payoff functions of each other. Together with N.Moiseev, he set
the foundation of hierarchical games [10] (also see 3.3, 3.5).
The famous Russian scientist, N.Moiseev made significant contribution to OR through
the development of methods of analysis of Earth’s biosphere and environmental protection. The
estimation of consequences of nuclear war obtained on the basis of his model and under his
leadership was recognized world-wide as the nuclear winter phenomenon [11]. This result can be
considered as one of the most outstanding examples of practical application of the OR theory
(also see 4.6.4, 4.8.7).
The design of complex engineering systems gives rise to multicriterion tasks. Solving
these tasks is a hard mathematical problem. The well-known scientist, P.Krasnoschekov and his
coworkers proposed mathematical methods of effective (Pareto optimal) solution comparison
[12]. The new approach permits to select the most promising options from the set of Pareto
optimal solutions. This was a fundamental contribution to the OR methods. P.Krasnoschekov has
also done a lot for the OR theory with his principles of mathematical modeling [13]. These ideas
were successfully implemented into the aircraft computer aided design systems, financial
markets, semantic search and analysis of national language texts (information technology “Keys
to Texts” [14]), gas and oil field development (also see 2.4).
A new direction of researches emerged under the leadership of A.Petrov in CCAS in
1975. The system analysis of developing economy [15] provides a unique platform for synergy
of methods of mathematical modeling of the complex systems and achievements of the modern
economic theory. These models were similar to computable general equilibrium models, which
became popular in the nineties, and paid more attention to singularities of economic mechanisms
of the system under consideration. The interval logic of seemingly paradoxical economic
processes decame evident thank to these models. These works turned out the “annals” of the
Russian economic reforms in the language of mathematical models [16, 17] (also see 2.4).
The unified model of analysis of efficiency and vitality of multi-commodity networks
was developed in OR department of CCAS recently. OR classical constructions and
methodological approaches (flows in networks, game theory, maxmin principle, and the
principle of guaranteed result) were exploited and developed in the framework of the model for
the first time. Based on this model, selected problems of analysis and synthesis, reliability and
vulnerability of telecommunication and power networks were successfully solved [18]. One of
the more recent developments is application of the OR methodology in power energy sector of
RF [19] (also see 1.3.3, 3.3.6.4, 4.2.4.1, 2.3.8).
For Peer Review
OR models often result in rather complicated and sophisticated problems for which special
numerical methods are required. Many RSORS members specialize in developing such methods
(see e.g. [20, 21]). Germeier’s works in game theory are now developed by N.S. Kukushkin and
his other pupils [22]. The present chair of MSU OR dept P. Krasnoschekov and his collaborators
explore evolutionary models of population behavior and their applications in political science
(social behavior), auction theory for homogeneous goods markets, option theory, tax
enforcement problems, actuarial mathematics, and optimization theory and techniques. Some of
the results obtained are published in the above-mentioned journals and the Conference materials;
also see [23-29], 3.1.15, 4.7.3.
The work of the OR department at Moscow State University is supported by RF
President Grant from the “Program for Support of Leading Scientific Schools”. In addition to
scientific research, the department educates professional specialists for the whole country under
leadership by P.Krasnoschekov. Under the supervision of RSORS members, dozens of PhD
theses were defended and OR science received strong positive impact during the latest 13 years.
RSORS members continue with active investigation in all OR divisions. They are developing
fundamental ideas and approaches proposed by both Russian and foreign scientists, and
contribute to further advance of the contemporary science. The next Moscow International
conference on OR will take place in October, 2010 [30]. It will summarize the new achievements
in OR development in Russia and other countries.
RSORS History