The Effect of Packets Length Management Strategies on the Efficiency of the MAC Level Packet in Switched Radio Networks/ Voiter A.P. // Naukovi visti. - 2012. – N 6. – P. 7–12. Fig. 4. Tabl. 3. Refs.: 3 titles.
The paper studies a new method of efficiency enhancement of packet switched radio networks at the radio channel access level. To this end, we consider the known strategies of packet lengths control in such radio networks and reveal incompleteness of a possible set of packet lengths management with channel conditions under carrier sense multiple access (CSMA) protocol. We propose three new strategies to change packet lengths which complete the set. Mathematical simulation is conducted for persistent and nonpersistent CSMA protocols. The quantative data on the average data rate, channel throughput and stability limits are obtained for every new strategy. Furthermore, we compare new and known strategies and system parameters and outline their advantages as compared to the known ones. The proposed packet length management strategies can be used to improve efficiency of existing radio networks with competitive radio channel access as well as to design new ones.
Periodical Structure with Transversal Electric Field/ Naidenko V.I. // Naukovi visti. - 2012. – N 6. – P. 13–22. Fig. 5. Refs.: 7 titles.
In this paper, we solve the problem of electromagnetic wave propagation in a periodic structure with a transverse electric field in the baseband. The period of the structure is divided into two subregions by planes perpendicular to the longitudinal coordinate. We use the method of partial regions. By employing the moments method, the system of functional equations obtained from the boundary conditions and periodicity conditions is reduced to a system of linear algebraic equations (SLAE), whose order is M and N, the number of terms in the fields expansion in the sub-areas. The resulting SLAE is reduced to a linear algebraic equation for the first or the second subregion. SLAE is analyzed for the period of the phase shifts φ = 0 and φ=π. Moreover, the transition to a single-stage structure is made. In the approximation of the main functions of the aperture we find a formula for calculating the dispersion characteristics (DC). Also, we present the calculation results of DC waves in the first six bandwidths for two sizes of the structure. We demonstrate approximate formulas for calculating the frequencies corresponding to φ=0, π/2, π, confirming the accuracy of the obtained dispersion equations. Finally, we analyze the changes in the DC baseband change aperture size and the determinant order.
Thermodynamic Efficiency of the Heat Pump Air Conditioning System/Bezrodny M.K., Dranik T.V. // Naukovi visti. - 2012. – N 6. – P. 23–28. Fig. 7. Refs.: 7 titles.
The purpose of this paper is to analyze and compare thermodynamic efficiency of heat pump air conditioning systems. The paper deals with simplest schemes of the heat pump air conditioning system. Analytically we obtain dependences to calculate these schemes. We also show graphs of the main parameters characterizing the effectiveness of these schemes depending on the ambient temperature. We analyze the effectiveness of the heat pump air conditioning systems. Based on the comparison of energy specific costs, heat pump air conditioning scheme with ventilation is almost equal in their efficiency with the split system scheme. Though it has an advantage – it can provide ventilation where necessary. Therefore, the use of this scheme is justified when room ventilation and air conditioning are required at the same time. If the room such as residential buildings should be air conditioned, we recommend using a split system. In general, the choice of a particular scheme depends on the object’s purpose.
Flow and Water Freezing on Vertical Surfaces by Drops Irrigation Obtained by Blow Spraying/ Pukhovyi I.I., Krivosheev M.O. // Naukovi visti. - 2012. – N 6. – P. 29–35. Fig. 8. Refs.: 5 titles.
The paper under scrutiny studies the hydrodynamic parameters in the flow and wetting of solid metal plates and vertical grids of different materials under isothermal water flow and at its freezing on these surfaces. We conduct the experiments on water ice generation of the vertical galvanized metal and polymer plates with wetting density less than at the known minimum density of water wetting on dry and wet vertical surfaces. Ice formation and water cooling are conducted by water contact with frosty air. Water dispersion is provided by a blow on the horizontal surface of narrow vertical jets of successive water drops flowing from several pipes 1 mm in diameter. The pattern of wetting, water flow and ice formation observed on the vertical plates of different materials and structures have the same character as continuous films in the impact area of droplets to form streams (rivulets). If a grid square is assigned to both sides or to the side area of a continuous plate, the heat transfer coefficient is about 30 W/(m2×K).
Forecasting Volatility of Financial Processes with Alternative Models/ Bidyuk P.I., Trofymchuk O.M., Kozhukhivska O.A. // Naukovi visti. - 2012. – N 6. – P. 36–45. Tabl. 6. Refs.: 9 titles.
An analysis of modern approaches to modeling of conditional variance for nonstationary heteroscedastic processes is performed. A stochastic volatility model structure is proposed for multidimensional case and the methodology is considered for its parameter estimation with the use of Markov chain Monte Carlo technique. The use of this approach provides a possibility for parameter estimation of linear and nonlinear models in conditions of stochastic disturbance influence with various distributions of random variables. For the selected processes of stock price dynamics a set of mathematical models for conditional variance has been constructed with simplified and complex structure. It is shown that the best short term forecasting results could be achieved with the exponential autoregression model with conditional heteroscedasticity and with the stochastic volatility model. It can explained with the fact that both models take into consideration influence of random disturbances with different signs. The results of numerical modeling can be used in computer based decision support systems for financial process control, making decisions regarding stock trading, forming the financial instruments portfolio and so on.
On Optimal Scheduling in the Presence of Defined Limits Based on Graph Theory/ Danilchenko A.О.// Naukovi visti. - 2012. – N 6. – P. 46–53. Fig. 3. Tabl. 3. Refs.: 8 titles.
The purpose of this study is to develop an algorithm for solving the nurse scheduling problem for home patients who receive treatment that will provide a lower computational complexity than the method of exhaustive search and will allow finding a solution that meets the specified limit for the procedures. The proposed new algorithm for solving the application problem of scheduling treatment of patients who receive nursing home as an extended mathematical problem of finding the maximum matching in a bipartite graph with vanishing edges. In contrast to the known ones, the algorithm can take into account the limited compatibility of treatment and has a lower computational complexity than the method of exhaustive search by reducing the number of matches to be analyzed. In addition, we conduct the comparative computational experiment relying on a series of the task random environment obtained from real home patients based on the hourly sampling. It shows that the proposed algorithm provides optimal reduction time scheduling from 4,48 times to 8,87 times compared to exhaustive search method. Time scheduling is directly proportional to the number of vertices of bipartite graphs.
Using the Forecasting Methodology for Rulemaking Backup of the Electronic Parliament/Selin Yu.N. // Naukovi visti. - 2012. – N 6. – P. 54–60. Fig. 3. Refs.: 10 titles.
The international nonprofit organization “e-parliament” promotes the idea of the global world parliament as a combination of parliamentarians from different countries in the single forum of the world’s sole hearings and outlining the single vector of development and legislative activities in many countries of the world, unification of laws of different countries (developing “model” legislation). At present the project is a prototype of creating an informal parliament of the world of one-two member representatives in every continent. At the level of individual countries’ e-parliament involves the introduction of electronic document management, information management activities of the parliament, as well as presenting the results of its operations for voters through portals and other sources. However, analytical backup of “incoming” and “internal” parliaments’ processes is not guaranteed. Today the study of relevant international developments did not identify existing and implemented decisions regarding automated analytical support of parliament (individual parliamentarians and legislative bodies in general). The article shows it is necessary to use forecasting methodologies in the rulemaking activities in the e-parliament. It proposes to use of information platform scenario analysis as a basic tool of technology forecasting. In this paper, we also define the requirements to system information and analytical support of the e-parliament.
Synthesis and Investigation of Electronic Structure of Ca-HAP Modified with Carbon Nanomaterials/Karbivskyy V.L., Kasiyanenko V.Kh., Shpilevskii E.M., Rozhkov N.V. // Naukovi visti. - 2012. – N 6. – P. 61–65. Fig. 2. Tabl. 1. Refs.: 8 titles.
In this paper, we synthesize the series of Ca-HAP–carbon nanomaterials composites. We use various synthesis methods – mechanical mixing and mixing in aqueous suspension with ultrasonication (original calcium hydroxyapatite powder was synthesized by deposition method from basic aqueos solution). We utilize carbon nanotubes, fullerenes (C60) and shungite as modifying materials. By X-ray photoelectron spectroscopy we investigate the electronic structure of samples. We also conduct the infrared spectroscopy examination of samples. We reveal that the interaction between Ca-HAP and carbon nanomaterials leads to insignificant redistribution of electron density between oxygen, phosphorus and calcium atoms. This indicates the increase of covalent component share in the overall chemical bond balance of Ca-HAP modified by carbon nanomaterials. Similarly at these modifications the 
-tetrahedra vibrations symmetry increases and the structure orders. All the obtained results demonstrate that introducing carbon nanomaterials into calcium hydroxyapatite leads to formation of molecular complexes and structure ordering.
The Velocities Field Analysis of Fluid Flow Rotating in a Cylindrical Tank/Kovalev V.A. // Naukovi visti. - 2012. – N 6. – P. 66–70. Fig. 3. Refs.: 6 titles.
The paper presents results of velocity fields experimental measurements of a fluid rotation in a spacecraft cylindrical tank. We propose the analytical expressions for distributions of the azimuthal velocity and the data collection for calculating the fluid power affects on the tank walls. We approximate the results of hot-wire measurements of the velocity vector components and build the structure of semi-empirical relationships when developing the physical model of inner flows. Graphic features of the nonlinear dependence characterize the distribution of the hydrodynamic fields, where there are near-wall, axial and intermediate flow regions interacting with each other to form a spatial picture of the velocity distribution. Taking into account the existing data of theoretical and numerical simulations we can assess results reliability of the results and the adequacy of the proposed model of the circulation of viscous incompressible fluid. The results are relevant for application in design of tools and techniques for effective impact on the internal flow of liquid fuel in the spacecraft cylindrical tanks.
Finite-Element Study of the Bone Anisotropy and Inhomogenity Influence on Stress Distribution in Mandible/Kryshchuk N.G., Malanchuk V.A., Kopchak A.V., Eshchenko V.O. // Naukovi visti. - 2012. – N 6. – P. 71–76. Fig. 6. Tabl. 1. Refs.: 17 titles.
The paper discusses simulation results of mathematical modeling of the stress-strain state of the lower jaw with advanced three-dimensional finite element model. To simplify the study of the structure of the elastic constants of anisotropic inhomogeneous body bone we use a priori data on characteristics of the rigidity of its cortical layer. When studying the effect of anisotropy and heterogeneity of the physical bone model its mechanical properties are considered as linear orthotropic for each discrete piece - uniform model of the mandibular body with three mutually orthogonal planes of symmetry in the Cartesian coordinate system. We determine the values of the elastic constants of anisotropic material in each local volume in the local Cartesian coordinates based on actual test data sample jaw materials jaw the elastic moduli and the coefficient of lateral deformation along the line of cortical bone osteons. Based on the data gnathodynamometry data, we repair strength and direction of the masticatory muscles in the simulation model. Moreover, we study the effect of anisotropy and heterogeneity of the physical model of the bone tissue distribution of stresses and strains in various parts of the lower jaw. The results are compared with field test data and previously proposed computational jaw models. We make recommendations on how to construct adequate simulation models of the stress-strain state of human mandible used in oral and maxillofacial surgery.
Influence of Temperature-Temporal Parameters of Fusion Treatment and Cooling Speed on Structure and Mechanical Properties of Alloys of АМг6л and АМг11/Kylinich А.A. // Naukovi visti. - 2012. – N 6. – P. 77–80. Fig. 2. Refs.: 5 titles.
The paper establishes the influence of temperature-temporal parameters of fusion treatment in the liquid state and cooling speed during crystallization on the structure and mechanical properties of АМг6л and АМг11 casting alloys. Melting is conducted in the resistance stove in graphite crucible. We use the following materials: aluminum of А99 type and such ligatures as Al–Mg, Al–Zr, Al–Be, Al–Ti, Al–Si. Metallic fusions of the explored alloys are kept at various temperatures and self-control time and poured out in different kinds of molds. The speed of fusion cooling is regulated by selecting the material and thickness of mold walls. We determine mechanical properties of the explored alloys using the obtained standard cast molds 10 mm in diameter (rupture strength, yield point, relative lengthening). Furthermore, we define that optimization of temperature and self-control time in the liquid state allows increasing the durability level of fracture of АМг6л and АМг11 alloys by 16 and 21 %. Therefore, values of alloys relative lengthening grow in 1,5–3,0 time. We show that the increase of cooling speed during crystallization from 0,5 to 4,5 °С/с allows decreasing the grain size of aluminum hard alloys for АМг6л alloy by 2 times and for АМг11 alloy by 1,8 times.
Influence of Annealing Conditions on Structure and Magnetic Properties of Nanodimensional Fe50Pt50(15 nm)/ Ag(30 nm)/Fe50Pt50(15 nm)/SiO2(100 nm)/Si(001) Film Composition/ Makogon Iu.M., Pavlova O.P., Verbitska T.I., Vladymyrskyi I.A. // Naukovi visti. - 2012. – N 6. – P. 81–85. Fig. 4. Refs.: 8 titles.
We study the influence of 30-nm-thick Ag intermediate layer and annealing duration in a vacuum at the temperature of 600 °С on formation of chemically ordered L10(FePt) phase in nanodimensional film composition (NFC) of Fe50Pt50(15 nm)/Ag(30 nm) /Fe50Pt50(15 nm) on planar SiO2(100 nm)/Si(001) substrate. NFCs are produced by layer-by-layer magnetron sputtering of 15-nm-thick Fe50Pt50 (99,95 %) alloy layers and 30-nm-thick Ag (99,9 %) layer on the unheated substrate of thermally oxidized (with the 100-nm-thick SiO2 layer) monocrystalline (001)Si. Samples heat treatment is carried out in a high vacuum of ~1,3·10-3 Pa with different duration time of duration at choose temperature: 30 s, 10 min, 30 min, 60 min. We investigate the structure, electrophysical properties and magnetic characteristics of NFCs. We show that phase transformation of А1(FePt)FCC →L10(FePt)FCТ is occurred during annealing duration 30 s. The subsequent increase in annealing duration to 30 min is accompanied with increase in intensities of (001) and (111) structural reflexes of L10(FePt) FCТ phase and appearance of new structural reflexes such as (200) and (002) typical for tetragonal lattice. The ratio of crystal lattice parameters с/а decreases and the amount of grains with (001) texture with respect to grains with (111) texture increases. The parameter of long-range chemical ordering S* grows intensively. The invariable position of (111) reflex from Ag intermediate layer with the increase in annealing duration indicates invariability of its crystal lattice parameters and absence of iron and platinum solubility in it.
Modelling of The Large Strains. The Message 3. About Theoretical Bases of Use of a Logarithmic Measure of Strains of Hencky/Rudakov K.M., Dobronravov O.A. // Naukovi visti. - 2012. – N 6. – P. 86–93. Refs.: 15 titles.
This paper represents the comprehensive data on theoretical foundations of applying logarithmic measure of Hencky deformation for deformation modelling with various types of large deformations: thermal, elastic, plastic and creep. We consider the properties of the logarithmic deformation (Hencky) for the fiber of materials. We use basic measures of stresses and the second law of thermodynamics as auxiliary information. Crucially, we define the law of elastic deformation (for an isotropic material) using Hencky strains – the stress measure corresponding to Hencky strains. We also uncover an equivalent formulation of the energy of internal forces. We show that components of the Hencky strains correspond to concepts of strains measure. As energy conjugating tensor stress components they have main components of Kirchhoff stress (stress of Noll). They are linked with key components of Euler-Cauchy “rotated” stress tensor solely through the scale factor. They allow using Hooke classical law to calculate the stress for unchanged isotropic material (metal).
Features of Detonation Products Equation during Numerical Modeling of a Home-Made Explosive Device/Sydorenko Yu.M., Marynenko Ya.O. // Naukovi visti. - 2012. – N 6. – P. 94–102. Fig. 5. Tabl. 5. Refs.: 23 titles.
The computer simulation method belongs to new methods of forensic analysis of home-made explosive devices. The library of most computer programs well-known around the world, for example, ANSYS/AUTODYN, LS-DYNA, comprises such items as state equations describing the behavior of the detonation products (DP) mainly explosives (HE) of foreign origin. In this case, the amount of explosives, whose numeric parameter constants are known, is limited. In addition, it is unknown what will be the constants values of these equations for home-made explosives. This paper describes L.P. Orlenko mathematical method of the isentrope approximation by JWL isentrope equation. We propose the criterion of finding a minimum as the approximation criterion normalized by the amount of pressure DP area values between the curves of these equations. We test the adequacy of the proposed approximation method by comparing the experimental and theoretical data rate of expansion of the outer surface of the copper tube “cylinder-test” derived by computer “GEFEST” and LS-DYNA. The calculations show that the error does not exceed 10 %.
Creep of Nonlinearly-Viscoelastic Materials under Different Nonstationary Uniaxial Loading Regimes/Fernati P.V., Pavlyuk Ya.V., Ragulina V.S. // Naukovi visti. - 2012. – N 6. – P. 103–109. Fig. 4. Tabl. 2. Refs.: 6 titles.
This paper considers the problem of calculating creep strains of nonlinearly-viscoelastic material under different modes of nonstationary uniaxial loading. These modes involve stepped loading and unloading. Specifically, we solve the problem based on the hypothesis of the unified deformation diagram created from similarity of isochronous creep diagrams and a stress-strain diagram. A generalized reological model is constructed. Relying on this generalized model, we construct the unidimentional creep constitutive equations of nonlinear viscoelastic materilas. In addition, we choose the hereditary kernel as Rabotnov’s exponentional-fractional function. We determine model parameters through the base experiment under stationary uniaxial creep. The nonstationary loading modes are assigned by the Hevyside’s function. Through experiments conducted, we test calculation results on the problems of nonstationary creep strains forecast of polyvinylchloride elastron. Moreover, calculation results are consistent with the experimental data.
Corrosion of Steel Gas Chromoaluminized 12Х18Н10T/Khizhnyak V.G., Arshuk M.V., Khizhnyak О.V., Loskutova T.V. // Naukovi visti. - 2012. – N 6. – P. 110–114. Fig. 2. Tabl. 1. Refs.: 12 titles.
This paper presents the research results of chrome-calorizing of the steel 12X18Н10T. We show how to obtain chromo-calorizing coatings on the surface of the steel 12X18H10T with titanium nitride. We coat the surface by combining two processes: physical 12X18H10T vapor deposition of titanium nitride and diffusion chromo-calorizing conducted by powder in containers with fusible closure under reduced pressure at a temperature of 1050 °C for 3 hours. We determine the phase and chemical composition, thickness and microhardness of coatings before and after the heat resistance test. In addition, we define barrier properties of titanium nitride layer reducing diffuse infiltration of oxygen, chromium and aluminum in the base at oxidation and the base elements in the coating at high temperatures. We detect the effect of the barrier layer of titanium nitride TiN on the coating composition and structure before and after the heat resistance test. Chromo-calorizing of the coating on the surface of the steel 12Х18Н10T contributes to the heat resistance. The coatings are promising for use in friction and wear, high temperatures and corrosive environments.
Development of Quality Criterion of Spot Welding by Results of Acoustic Emission Monitoring/Galagan R.M., Lutsenko N.F., Klischar F.S., Zapara V.I. // Naukovi visti. - 2012. – N 6. – P. 115–120. Fig. 6. Refs.: 9 titles.
This article discusses the design of algorithm for processing of acoustic emission signals. It will allow elaborating the criteria for assessing the quality of resistance spot connection. The problem can be solved by using the convolution method, which can detect the exemplary temporal process in the analyzed signal. We synthesize two processing algorithms of acoustic emission signals by using linear and nonlinear transformations. Firstly, as a sample we propose to use the frequency characteristic of acoustic emission signals generated during the crystallization of molten core and characterize the qualitative point connection. Through experiments conducted, we create the training sample of acoustic emission signals. The application of the proposed algorithm allows evaluating the connection quality at emergence of high-level signal at the output of convolution unit in the analyzed time domain. The appearance of such peak indicates a significant degree of the temporal process of statistical association corresponding to the exemplary pattern of quality connection and acoustic emission signal at the experimentally proven current resistance spot welding.
Methodology and Device for Monitoring and Control of Polarization Changes Behavior of Stratosphere Ozone Layer-Reflected Solar Radiation/Geraimchuk M.D., Кurenoyov Yu.P., Nevodovskiy P.V., Morojenko O.V., Sergunin V.B. // Naukovi visti. - 2012. – N 6. – P. 121–126. Fig. 5. Refs.: 13 titles.
The purpose of this paper is to choose the method and to create the device to control the condition of radiation polarization reflected from an ozone layer of the Earth stratosphere from a microsatellite board. We consider the research-related issues, as well as the algorithm and the organization of the space experiment. We conclude that it is possible to use the ultraviolet Stokes-polarimetry as the method for space Earth’s ozone layer monitoring. It allows accessing the data on the solar radiation scattered by the stratosphere. The efficient automatic data accessing simplifies the signal processing and its transfer from the board of the artificial Earth satellite to various users (notably its transfer to the Earth). The research conducted demonstrates that the Stokes method provides the automatic access to the polarization parameters of the solar radiation scattered by the stratosphere much easier than classical ellipsometry methods do.
Performance Evaluation for Multichannel Optoelectronic Surveillance Systems (MOESS) with Image Fusion/ Kolobrodov V.G., Mykytenko V.I., Mamuta M.S.// Naukovi visti. - 2012. – N 6. – P. 127–131. Fig. 4. Tabl. 3. Refs.: 12 titles.
The article proposes the methodology for performance evaluation of MOESS with image fusion. This methodology combines probability of detection, recognition and identification with image fusion quality metric – targeting task performance. This metric takes into account the image formation process in single channel of MOESS, image fusion and human visual perception. Simulation results are well correlated with subjective tests. The proposed methodology allows matching the best image fusion method for current operating conditions. Shift invariant wavelet transform, discrete wavelet transform and Laplacian pyramid yield the best results among the analyzed methods. Simulation results show that nominal static range of MOESS can be raised to 10 % using the image fusion in good atmospheric conditions.
Creation of Control Base Model in Information Technology of the Complex Technical Object Design/ Konotop D.I., Zinchenko V.P.// Naukovi visti. - 2012. – N 6. – P. 132–137. Fig. 5. Refs.: 12 titles.
The article reveals the parametric design of the complex technical facility as an aircraft model using the concept of implementing the basic model in the control design process. It increases the efficiency of a geometrical aircraft model at all design stages and allows ensuring the optimal control of main aircraft parameters relying on such modern computer technologies as CAD/CAM/CAE-systems. The article analyzes the existing main stages of design of the complex technical facility and focuses on the role of the control base model in this process and its significance in further design and manufacture of the complex technical facility as an example of the aircraft. The article gives the example of a control base model design of the aircraft part and use of this model to create 3D-models in subsequent stages of aircraft design utilizing CAD/CAM/CAE- system by the example of using CATIA program.
The Quality Control System Installation Glued-Welded Joint on the Trunk Gas Pipeline Under the High Pressure/ Tymchik G.S., Podolian A.A.// Naukovi visti. - 2012. – N 6. – P. 138–144. Fig. 10. Refs.: 8 titles.
In this paper, we propose the structure of the quality control system of installation glued-welded joint on the trunk gas pipeline under the high pressure. It contains meter information parameters, the computer of optimal values of these parameters and the analyzer evaluating the discrepancy of the measured values and gives the best offer for the existing management system to address this discrepancy. We consider the influence of parameters of the under-coupling layer material and processing parameters of the under-coupling forming layer on the efficiency of penstock pipe dimensions and coupling design strength. We show that the efficiency of amplification control line should be done given the self-hardening material shrinkage during curing, measurements of the pressure values in the pipeline and under-coupling space or from measurements of a ring of mechanical stresses in the sleeve walls and the pipe outside the coupling installation. We propose a system of interconnected expressions to calculate the optimal values of the considered system controlled parameters. Furthermore, we develop the control method to achieve maximum efficiency of amplification using the pipeline to fill the molten metal under-coupling space.
Deactivation of Catalyst in System “Consecutive Reaction Α1 → α2Α2 → α3Α3 + Catalyst + Mixing Continuous Reactor”/ Lucheyko I.D.// Naukovi visti. - 2012. – N 6. – P. 145–151. Fig. 1. Refs.: 11 titles.
In this paper, we obtain the analytic solution of the problem describing the non-stationary functioning mode of the system caused by deactivation of the solid catalyst. This mode is expressed in consecutive reaction Α1 → α2Α2 → α3Α3 + catalyst + mixing continuous reactor. We calculate the rational (maximum profitable) operation time τmax of the industrial catalyst. Hence we solve the problem based on the system of differential equations for instantaneous balance of concentrations. The formal kinetics of the reaction is described by the power dependence, while the kinetics of weak catalyst deactivation is described by the linear dependence. The system of equations for arbitrary orders ηi of reactionary stages was linearized under the condition of small relative deviations of concentrations from nominal (initial) values. We also obtain the formulas for calculating relative deviations εs2 of selectivity s2 as well as εη2 of yield η2 from nominal for main product A2. Values εs2 and εη2 depend on stages orders, the simplex of constants of the catalyst deactivation speeds, the simplex of nominal degree of A1 reagent transformation as well as its final concentration and the simplex of selectivity of reactionary stages. We prove there are effects of the mode self-regulation in relation to selectivity (εs2=0) or yield (εη2=0) of A2 product. In case of the first-order ηi=1 reaction, we calculate the nomogram for determining the rational term of operation τ max >> 1 of the industrial catalyst by the “maximum-admissible” value of ε допs2 max << 1.