|
|
 Âûïóñê 61
- Bocharov P., Goryashko A. On analysis of partition games
The paper examines disjoint subsets of strategies for the Lotto games in order to provide a criteria of their “relative strength”, i.e. to define which strategies are more likely to win. The proposed methods are based both on the results of simulation and analytical techniques from combinatorial search theory. We showed that analysis of disjoint subsets of the set of (n,m)-partitions allows one to choose strategies with high “winning ability”. Our focus is on the simulation of tournaments performed to check these assumptions. Actors in these elimination tournaments are the partitions and the payoffs are identical to that for the Lotto game. The simulation demonstrated that a contestant using the strategies from specially designed disjoint subsets wins with frequency near 0.9 in the elimination tournament if other contestants play the Nash equilibrium for the given (n,m)partitions.
- Myachin A. Pattern analysis: ordinal-invariant pattern-clustering
New algorithms of patterns analysis based on methods of ordinal-fixed and ordinal-invariant pattern clustering are developed. The definition of the proposed methods as well as the evaluation of the computational complexity is given. We provide some examples that demonstrate features of these clustering procedures and explain their operation. We also formulate and prove the theorem on the interconnection of clusters obtained by the use of ordinal-invariant pattern-clustering with complete weighted digraphs. These results allow to apply graph theory for the study of properties of obtained clusters.
- Emelianov M. Passivity based stabilization of nonlinear differential repetitive processes with application to iterative learning control
Repetitive processes propagate information in two independent directions. They arise in the modeling of industrial systems such as metal rolling and can be used as a setting for control law design. The latter area has seen experimental verification for designs based on linear dynamic models. This paper addresses stabilization and disturbance attenuation for differential nonlinear repetitive processes where vector Lyapunov functions are used to characterize a physically relevant stability property and the disturbance attenuation is expressed in terms of an H? norm. An extension to processes with failures modeled by a finite state Markov chain is also developed and applied to iterative learning control design in the presence of model uncertainty and information channel failures. An illustrative example is also given.
- Shulepov A., Sagadeeva M. Optimal control of states for a nonstationary model in the relatively radial case
In this paper we prove the existence of a unique optimal and hard control over solutions of Showalter–Sidorov problem for the nonstationary model, which is described by Sobolev type equations. In this case, one of the operators in the equation is multiplied by a scalar function of the time-variable, besides stationary equation has a strong continuous degenerate resolving semigroup of operators.
- Gutova S., Kazakevitch I. Tuning parameters proportional-integral controller using the method of simplex planning
The article addresses the problem of finding the optimal parameters of a proportional-integral controller using the two-dimensional simplex approach. When building a closed control system of oscillatory dynamic objects different regulatory criteria are used. In conclusion we provide the comparative analysis of the controller parameters found under different regulatory criteria.
- Mazalov V., Pechnikov A., Trukhina L., Tsynguev B. Ranking of russian academic web
We propose to apply the methods of the graph theory and the cooperative game theory for determining nodes centrality in weighted graphs. In this method a graph considers like electric circuit, where the centrality measure is the total sum of electric current flow through this node. The computing of betweeness centrality is based on the inverse Kirchhoff’s matrix. This method has low computational complexity. The results of numerical experiments of electric centrality are presented for graph of web sites of Russian academic organizations. We compare our results with the popular Page Rank method.
- Akinfiev V. Simulation of investment strategies of firms under uncertainty
This paper examines the problem of investment strategies choice of firms under demand uncertainty and competition in the market. A mathematical model describing the investment behavior of firms in a Duopoly Market is proposed. We study the impact of Investment Strategy of Firms on its financial performance and the efficiency of investment under demand uncertainty and competition in the market. Solution is reduced to the analysis of a bimatrix game, wherein the payoff matrix is formed by numerical simulation. We present an illustrative example of the proposed approach.
- Kiselev V. To the rationale multirisque regional program of crop insurance
We describe the specific features of agricultural insurance. A mathematical model for the multi-risk insurance is developed. An agricultural firm mathematical model is developed and the effect of insurance is investigated depending on the degree of government participation. We also discuss the procedure of negotiation between participants of the insurance operation: agricultural firms, insurance companies and the government.
- Klochkov V., Selezneva I. A stochastic model of bilateral oligopoly and price control of high-tech products’ market competition
We consider the problem of competition strategic management in the markets of high-tech industry. It is considered that rigid pricing policy in the long term may lead to the withdrawal of suppliers from the market, to reduction of its competitiveness and growth in purchase prices. To optimize customers’ pricing policy taking into account this effect, a model of bilateral oligopoly as a closed queuing system is proposed.
- Alexeev V., Saraev P., Domashnev P., Nazarkin O. Organizing the storage of neuro-fuzzy model in relational databases
The paper considers the organization of the storage of ANFIS neuro-fuzzy models in relational databases. Two storage schemes were developed: the universal schema based on the ANFIS model representation as a function of several variables in a computation tree and the specific schema, which reflects layered model structure. Algorithms for computing ANFIS model output for two variants of the storage are described. The possibility of computing ANFIS model output by standard means of SQL is substantiated.
|
|
