Agent-based modeling and simulation was applied to investigate a set of problems in the energy context. The paper shows advantages of the agent based modeling approach. The method to define agents-consumers in simulation tool AnyLogic and the approach to simulating investment project risk are suggested.
A majority of the real voting rules are (or may be written as) voting with a quota (i.e. weighted game). But the axioms for the power indices defined on simple games are not directly transferred to the weighted games, because the operations used there are defined incorrectly in this case. Nevertheless, most of the axiomatics can be adapted for the weighted games. The main goal of this article is to answer the question: how to do it?
As a part of managing behavior of an active consumer of electric power in prospective smart grids it is necessary to create a mathematical model that meets his or her economic interests. Existing models either do not take into account all relevant aspects or turn out to be too complicated for the purposes of multi-agent modeling. We suggest a mathematical model of an active consumer and use it to investigate the problem of consumption and local generation regimes optimization. We derive conditions when the consumer’s problem has a pretty simple and efficient solution. The proposed approach is illustrated by optimizing the operating modes of equipment for a single household.
The problem of optimal control for a class of nonlinear objects with uncontrolled bounded disturbances is formulated in the key differential game. For problems with a quadratic quality functional task of searching for the optimal control reduces the need to find solutions to the scalar partial differential equation Hamilton-Jacobi-Isaacs. Finding solutions to this equation in tempo operation of the facility by means of special algorithmic procedures. The results can be used to solve theoretical and practical problems encountered in mathematics, mechanics, physics, biology, chemistry, engineering sciences, management and navigation.
The paper proposes decision rules that allow comparing alternatives by preference for different cases of information regarding criteria importance and growth of preferences along criteria scale. These rules work within the framework of the new model of decision making situation with criteria forming a multi-level structure. This model was previously developed by the authors. The created methodology is free from fundamental drawbacks that cannot be avoided in principle, which are intrinsic to the analytic hierarchy process and all other known methods ofproblem solving with hierarchical structure.
The paper presents a modification of the pattern analysis method that allows allocating separate clusters of objects with similar structure as well as with close values of their parameters. A description of the method and its algorithm realization are given.
The analysis results of information inconsistency within belief function theory (the Dempster–Shafer theory of evidence) are reviewed. This theory has been intensively developing over the past 10–15 years. Part I of the survey considers the measure of external conflict between bodies of evidence. The concepts of conflict and non-conflict bodies of evidence and the basic requirements applied to measures of external conflict are discussed. Different axioms of the measure of external conflict are analyzed. The general forms of measures of external conflict that satisfy the system of axioms are given. Different methods for constructing measures of external conflict (metric, algebraic, and structural approaches; evaluation by combining rules) are presented. The robust estimation of external conflict, the relationship between its measure and the metric on the set of bodies of evidence, and the consistency of combining rules and measures of external conflict are discussed. Many illustrative examples are provided.
This paper surveys some parts of approximation theory for functions of one and several real variables. Approximation of functions by algebraic polynomials is a classical theory. The paper contains some results from this theory. First results on approximation of functions by neural networks and fuzzy systems have appeared as responses on practical requirements. It was necessary to know is it possible to approximate an arbitrary continuous function by such aggregates. Later, these fields were developed like the theory of approximation of functions by algebraic polynomials. In this paper we consider some results on approximation of functions by neural networks and fuzzy systems.
The human immunodeficiency virus infection, that causes Acquired Immune Deficiency Syndrome (AIDS), is a dynamic process that can be modeled via differential equations. The paper introduces
a methodological problem of use of modern mathematical and information methods to boost the response of the immune system by means of drug scheduling. The control purpose is to steer the system
to an equilibrium condition, known as long-term nonprogressor, which corresponds to an infected patient that does not develop AIDS symptoms. To show the feasibility of the control methodology a human
immunodeficiency virus model computer simulations are presented.
A differential game of several players is considered as follows. One player (attacker) penetrates some space, and several other players (pursuers) appear simultaneously to intercept the attacker. Upon detecting the pursuers, the attacker tries to evade them. The dynamics of each player are described by a time-invariant linear system of a general type with scalar control. A quadratic functional is introduced, and the differential game is treated as an optimal control problem. Two subproblems are solved as follows. The first subproblem is to construct a strategy for pursuing the attacker by several players who have complete equal information about the game. The second subproblem is to construct such a strategy under incomplete information about the attacker who is actively opposing the pursuers. The simulation results are presented. The zero-sum differential game solution can be used for studying the final stage of pursuit, in which several pursuers and one evader participate.
In authors' previous paper published in 2011 in «Control Sciences» journal one example of a bi-criterion decision analysis problem demonstrating that the use of Analytic Hierarchy Process (AHP) may lead to a clearly erroneous result is given. However, the author of another paper published in 2012 in the same journal suggested that he found an error in our use of AHP and, consequently, our criticism of AHP is unsubstantiated. In this new paper the authors show that there was no mistake in the use of AHP in their original counter-example, and provide two further counter-examples that support their original conclusion.
The indicators of regional sports development in the Russian Federation are analyzed to find regions with a similar sports development strategy (according to the chosen methodology and measures of closeness) and to identify dynamic groups in a four-year period. Some clustering and pattern analysis methods are described, and their use in the study is validated. The results obtained by classical clustering and ordinal-invariant pattern clustering methods are compared. The main state programs in the field of sports in the Russian Federation are highlighted and analyzed. The key aspects and problems of the state regulation of sports activities in the Russian Federation are indicated. Some ways for improving the existing regulatory and legal acts based on the dynamic analysis of regional patterns are proposed.
Highly complex, ambiguous and turbulent business environment forces the leading multinational companies to search new strategic capabilities, and management innovations (MI) are considered as an imperative for this development. However, among the local companies operating in the Russian market, management innovations do not have sufficient focus from the company top-management. Major objective of this paper is to study the process of management innovations and the key areas of its implementations within domestic and MNCs operating in Russia. The empirical study involved 1,025 employees from 791 companies operating in Moscow and the Moscow Region. The analysis of the collected data shows that the companies operating in the Russian market, primarily focus on employee motivation (20%) and building an effective communication process (18%) as the priority implementation areas of management innovations. Influence of the different type of economic activity, as well as the business size, and the degree of the company internationalization have been studied in the framework of the research, which revealed the number of peculiarities of the implementation areas of management innovations for Russian and multinational companies, operating in the Russian market.