Nadezhda Redinskikh

Bio: Nadezhda Redinskikh is an academic researcher from Saint Petersburg State University. The author has contributed to research in topics: Exponential stability & Stability criterion. The author has an hindex of 4, co-authored 11 publications receiving 98 citations.

The optimization problem of preventive equipment repair planning

Abstract: Any large functioning system consists of equipment that needs to be repaired during its lifetime The methods of mathematical programming are used to formalize the optimization problem of preventive equipment repair planning in this paper The method is used to find the annual optimal plan of preventive equipment repair The goal of such plan is the uniform distribution of repair works by the months It is supposed, that the deviation from the standard plan of repair works can not be more than one month An algorithm to find the optimal plan of repair works is provided A numerical example is given

Quality estimation of the geopolitical actor development strategy

Abstract: A problem of geopolitical actor strategy quality estimation (socio-economic, military-political etc.) with a view to increasing or decreasing the assets market value is formalized and solved in the paper. Aiming to solve this problem the random process of assets market value changes is introduced as random function X(t). The geopolitical actor assets market value changes are represented as a random process and analyzed with the help of this random process's characteristics. Making use of these characteristics the quality of the geopolitical actor strategy is estimated. An illustrative example is given.

Developing industries in cooperative interaction: equilibrium and stability in processes with lag

Abstract: A mathematical model of dynamic interaction between mining and processing industries is formalized and studied in the paper. The process of interaction is described by a system of two delay dierential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when both industries co-work steadily. The problem is reduced to nding stability criterion for quasi-polynomial of second order. Time intervals between deliveries of raw materials which make it possible to preserve stable interaction between the two industries are found.

Model of information multi-stage process in structured system

Abstract: The information process consisting of the stages of collection, processing, storage and protection of information is considered in this paper. The process is formalized in the form of a structurally logical scheme consisting of stages of the information process. It is assumed that the process of collecting, processing and storing information is carried out by special equipment. The analysis of the process under investigation is presented. A numerical example is given.The information process consisting of the stages of collection, processing, storage and protection of information is considered in this paper. The process is formalized in the form of a structurally logical scheme consisting of stages of the information process. It is assumed that the process of collecting, processing and storing information is carried out by special equipment. The analysis of the process under investigation is presented. A numerical example is given.

Solving a dynamic assignment problem in the socio-economic system

Abstract: The deterministic variant of the dynamic assignment problem is considered. The task of finding the path of maximum cost is investigated. Examples of solution the dynamic assignment problem and solving the problem of finding the path of maximum cost are given.

Mathematic model of regional economy development by the final result of labor resources

Abstract: This article presents the mathematic model of regional economy development based on the result of labor resources. The solution of a region development-planning problem is considered for the period of long-lasting planning taking into account the beginning and the end of the planned period. The challenge is to find the distribution of investments in the main and additional branches of the regional economy, which will provide simultaneous transaction of all major sectors of the regional economy from the given condition to the predetermined final state.

A dynamic model of functioning of a bank

Abstract: In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of bank’s work is described in this paper. The problem is then approached using the method of dynamic programming. Dynamic programming makes sure that the solutions obtained are globally optimal and numerically stable. The optimization process is set up as a discrete multi-stage decision process and solved with the help of dynamic programming.