## No 3 (2017)

AN EXAMPLE OF THE IDENTIFICATION ALGORITHM OF THE STATIC CONTROL OBJECT WITH A PRIORI CONSTRAINTS

#### Abstract

The algorithm of identification of a static control object with a priori constraints. This article examines the work of the special identification algorithm that takes into account available information about the parameters of the control object. The algorithm requires the use of a large amount of computational resources. However, in our time, such computational power is available to most users. Is an example of an identification algorithm of the static control object with a priori constraints.

**Applied Mathematics and Control Sciences**. 2017;(3):7-18

Methods of complexity estination of lows of functioning of automatA models of systems

#### Abstract

In paper are presented results of development and analysis of automata models of discrete dynamical systems. Are spend complexity estimations of automata functioning lows on the basis of use of geometrical images of automata mappings and special spectrum of recurrent definition of sequences. Are research complexity estimations of automatons in special classes. Also in paper are constructed automata models by geometrical curves having an applied interpretation with subsequent classification of models by complexity.

**Applied Mathematics and Control Sciences**. 2017;(3):19-29

ON AN EQUATION OF SOBOLEV TYPE OF THIRD ORDER

#### Abstract

We consider a mathematical model of thermoelastic plate vibrations under certain assumptions. The model is based on the nonclassical high-order equation of the mathematical physics, in addition, the equation is an equation of the Sobolev type. As is known, a Cauchy problem for the equation of Sobolev type is not solvable for arbitrary initial values. In this paper we consider the Showalter-Sidorov problem, which is solvable for arbitrary initial values and is more suitable for a Sobolev type equation. In appropriately chosen functional spaces, the considered mathematical model can be reduced to an abstract Sobolev type equation of the third order with relatively ( n , p )-sectorial operator on the right-hand side. The main research approach is the method to construct resolving semigroups.

**Applied Mathematics and Control Sciences**. 2017;(3):30-34

DETERMINING RESOURCE LOADS FOR ESTIMATING MAKESPAN LOWER BOUNDS FOR RESOURCE-CONSTRAINED PROJECT SCHEDULING PROBLEM

#### Abstract

We consider the problem of determining resource loads in search of makespan lower bounds for resource-constrained project scheduling problem (RCPSP). For the case of two resources we propose a geometric approach to solving the problem and present two exact polynomial algorithms with time complexities O ( n 2) and O ( n log n ), where n is the initial number of jobs.

**Applied Mathematics and Control Sciences**. 2017;(3):35-46

ALGORITHM DESIGN COMPILING MANUFACTORY SCHEDULE BASED ON FRACTAL CANTOR

#### Abstract

Article discuss the problem of operational control and technological coordination in the metallurgical industry. Steelmaking has a complex system of connections, presents difficulties for business planning. As part of the operational control of the production has been allocated sub-task scheduling production, monitoring violations of the plan and the establishment of corrective action with respect to the planned state. To effectively solve the problem the authors propose an approach based on multi-agent technology. Еlements of deterministic chaos theory uses аs inter-agent communication action. It is assumed that the method inter-agent communication will allow to solve the optimization problem of means and methods of modeling the complex structure of production flows in order to analyze their applicability for modeling the structure of their industries chaos to increase growth performance.

**Applied Mathematics and Control Sciences**. 2017;(3):49-57

QUEUING SYSTEM WITH ADDITIONAL SERVER TO SIMULATE HIGHWAY WITH REVERSE LINE

#### Abstract

Reverse road traffic organization is a way to solve the current difficult traffic situation in a large city. The paper presents a queuing system for modeling this type of traffic management, as well as the method to selecting the optimal direction of a reverse-line functioning by solving an optimization problem.

**Applied Mathematics and Control Sciences**. 2017;(3):58-68

ON METHOD SEARCH TO PROCESS DATA TO IDENTIFY HIDDEN CHARACTERISTICS OF KEYSTROKE PATTERN

#### Abstract

This article scope is to process statistical data obtained by analyzing the information system user keystroke pattern. The main characteristics of the keystroke pattern are considered. The research gives an overview and comparative analysis of data flow processing methods if the purpose is to reveal hidden dependencies of the keystroke pattern. Solving this problem, it is proposed to use both classical statistical methods, for example, factor analysis, and such artificial intelligence methods as artificial neural networks and immune networks.

**Applied Mathematics and Control Sciences**. 2017;(3):69-78

THE ANALYSIS OF BEHAVIOUR OF PLAYERS IN THE BUSINESS GAME ON DISTRIBUTION OF THE RESOURCE IN THE MODES WITH USE OF SPPR ON THE SET BEHAVIOR MODELS AND WITHOUT THEM

#### Abstract

In this work the analysis of behavior of agents is carried out to situations with use of system of support of decision-making and without her. Players, and also system, are focused on maximizing individual criterion function of profit of each certain agent, the fundamental principles have accepted the principles of fuzzy logic.

**Applied Mathematics and Control Sciences**. 2017;(3):81-89

METHODS OF MANAGING THE RISKS OF IT SERVICE AS THE RESULT OF THEIR INSURANCE AND TRANSFER TO OUTSOURCING

#### Abstract

In the article it is suggested to use outsourcing as a protective measure in case of high probability of realizing the risks of IT services. It is calculated the economic efficiency from the introduction of IT outsourcing in a small enterprise, which proves the feasibility of its implementation. The task of developing a risk insurance system is also given, and the conditions under which it is beneficial to use this protective measure are given.

**Applied Mathematics and Control Sciences**. 2017;(3):90-98

ECONOMIC-MATHEMATICAL MODEL OF OPTIMIZATION THE FINANCIAL CYCLE IN MACHINE-BUILDING ENTERPRISES

#### Abstract

The problem of optimization of inventory in machine-building enterprises is considered. An economic-mathematical model for optimizing the financial cycle is developed, the composition of the optimal criteria is selected, a set of constraints is formed, an algorithm for calculating the order of resources is developed to minimize the cycle time.

**Applied Mathematics and Control Sciences**. 2017;(3):101-108