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Computer modeling of sustainability and support of enterprises in organizational networks

Sergey Vikharev
Journal Paper Applied Mathematical Sciences, Vol. 8, 2014, no. 25, 1239-1246

Abstract

The concept of the networking support and sustainability of enterprises in the structure of organizational network is researched in this article. On the basis of a series of computer experiments the analysis of resources redirection process in the network structure of a large holding company has been carried out, the regularities of the coefficients of sustainability and networking support of enterprises have been detected and dependences of the coefficients of sustainability and networking support from different groups of factors have been shown. The practically applied conditions of feasibility of introducing the enterprise in the structure of a holding company are formulated.

Verification of the functional safety index in technical part of transport infrastructure. Railways example.

Sergey Vikharev, Dmitry Brusyanin
Journal Paper Contemporary Engineering Sciences, Vol. 7, 2014, no. 6, 293-298.

Abstract

This paper deals with the verification of the functional safety index. Testing just only technical part. Used the data taken from Russian Railways company. Made generalization for the case of a variety of factors capable lead to failure. Proved practical applicability of the technical part of the functional safety index for railway transport infrastructure.

The basic approach in designing of the functional safety index for transport infrastructure.

Sergey Vikharev, Dmitry Brusyanin
Journal Paper Contemporary Engineering Sciences, Vol. 7, 2014, no. 6, 287-292.

Abstract

In this paper we discuss the basic approach to the functional safety assessment. The construction is done for any of the transport system, wherein one can clearly distinguish the functional elements of the infrastructure. Assumes a system allowing tests to assess the status of each item. Used to build the index automata theory. Explanation of the model are made by the example of the railway infrastructure. Nevertheless, similar approaches can be applied to other transport systems not only road, but also, for example, the gas tube transportation system.

The interaction stabilization criterion. II. N-dimensional interaction between enterprises in the organizational network structure.

Sergey Vikharev
Journal Paper Contemporary Engineering Sciences, Vol. 7, 2014, no. 6, 281-286.

Abstract

Previously discussed interaction stabilization criterion for an arbitrary pair of enterprises. The conditions leading to dynamic stabilization of N-dimensional interaction in the organizational networks and their mathematical formalizations are studied in this article. Equilibrium state means parity situations for not the couple of selected enterprises but the economic entity arbitrary network.

Justification of vehicles on the route network of regular road and rail passenger transport.

Sergey Vikharev, D. A. Brusyanin, V. M. Say
Journal Paper Herald of USURT. 2013. No 1. P. 50–64. ISSN 2079-0392.

Abstract

For the effective use of transport system, all types of transport operated in the region are considered as a single system of common route network.

To justify the purpose of different types of vehicles and their quantity the concept of «conventional vehicle» is proposed. Initially, the number of conventional vehicles required to meet the passenger traffic needs is determined, which are later replaced with electric trains or buses.

The proposed approach to meeting the passenger traffic needs enables to: determine the required number of vehicles of each type to serve the route, assign the number of vehicles on a route, fully satisfying the need of passengers transportation along the entire route; consider a temporary change in traffic needs and optimizes destination per route with breakdown by time intervals (time of day, rush hours, etc.).

The approach can be easily used in those cases where only a portion of the route can be served by rail, and there are interconnection points with road transport on the route.

Economic-mathematical model of traffic flow forecasting for long-range prediction

Sergey Vikharev, E.V. Sinitsin, D.A. Brusyanin
Journal Paper Ural Transport. – 2013. – N 3 (38). – PP. 89–94.

Abstract

In this paper the authors investigate the approaches to the prediction of passenger traffic on annual basis, with a time horizon of up to five years. Research factors that may be used to construct a regression model are discussed. Exception of dependent factors is made. The choice is made in favor of the factors which are predicted by the authorities.

Масштабно-инвариантные свойства двухфазной зоны при затвердевании бинарных систем

Sergey Vikharev, Д.В. Александров, А.А. Иванов, И.Г. Низовцева, А.П. Малыгин, И.О. Стародумов.
Conference Papers XII Всероссийская школа - конференция молодых ученых и студентов (2 - 5 октября 2013 г., Пермь), Тезисы докладов. 978 - 5 - 94506 - 318 – 1

Математи- ческое моделирование фрактальных свойств двухфазной зоны при затвердевании бинарных расплавов

Sergey Vikharev, Александров Д. В., Иванов А. А., Низовцева И. Г., Малыгин А. П., Стародумов И. О.
Conference Papers Всероссийская конференция по математике и механике (2 - 4 октября 2013 г., Томск), тезисы докладов с. 195. 978 - 5 - 91701 - 084 – 7

Abstract

Большое число физических, механических и химических процессов, связанных с фазовыми или химическими превращениями, традиционно описываются на основе классической фронтальной модели Стефана. Примерами могут служить: испарение жидкостей, рост новой фазы в метастабильной среде, фронтальное горение или фронтальные химические реакции, фильтрационное вытеснение вязких жидкостей в пористых веществах, рост изолированных дендритов и другие. Во многих случаях локально-плоская форма фронта, разделяющего две фазы, нарушается с образованием переходной области, содержащей элементы обеих фаз.

Конвективно-кинетическая динамика кристаллизации с областью фазового перехода

Sergey Vikharev, Александров Д.В., А. В. Бритоусова, А.А. Иванов, А.П. Малыгин, И.Г, Низовцева, И.О. Стародумов
Journal Paper Вестник Удмуртского государственного университета, серия физика и химия. Вып. 2 — С. 60—67. 2013 1810 – 5505

Abstract

Проведено исследование и обобщение полуэмпирических подходов и моделей описания структурно-фазовых переходов в процессах затвердевания с двухфазной зоной на различные законы конвективного тепломассопереноса в жидкой фазе системы при разных переохлаждениях и кинетических механизмах роста твердого вещества.

Mathematical model of the local stability of the enterprise to its vendors

Sergey Vikharev
Journal Paper Applied Mathematical Sciences, Vol. 7, 2013, no. 112, 5553-5558

Abstract

The paper presents an elementary model of interaction between the enterprise with suppliers. Ranked dependence of business continuity of supply disruptions. Is an amendment to the inherent stability of the enterprise.

Verification of mathematical model of development cooperation programs between natural monopoly and regional authorities.

Sergey Vikharev
Journal Paper Applied Mathematical Sciences, Vol. 7, 2013, no. 110, 5463-5468

Abstract

As it is shown in the [1], the interaction between the natural monopoly (next NM) and the region is expedient to be carried out on the basis of a joint development railway transport program in this region. The project configuration is an investment structure into ongoing project by stakeholders and, hence, this is a structure of incomes as consequences of project implementation. In this paper we tested a method agreement of cooperation programs. Target parameters are effectiveness ratio of the regional authorities and the NM.

Mathematical modeling of development and reconciling cooperation programs between natural monopoly and regional authorities.

Sergey Vikharev
Journal Paper Applied Mathematical Sciences, Vol. 7, 2013, no. 110, 5457-5462.

Abstract

As it is shown in the [1], the interaction between the natural monopoly (next NM) and the region is expedient to be carried out on the basis of a joint development railway transport program in this region. The project configuration is an investment structure into ongoing project by stakeholders and, hence, this is a structure of incomes as consequences of project implementation. In this paper we tested a method agreement of cooperation programs. Target parameters are effectiveness ratio of the regional authorities and the NM.

Comparative vendor score.

Sergey Vikharev
Journal Paper Applied Mathematical Sciences, Vol. 7, 2013, no. 100, 4949-4952.

Abstract

As it is shown in the [1], the interaction between the natural monopoly (next NM) and the region is expedient to be carried out on the basis of a joint development railway transport program in this region. The project configuration is an investment structure into ongoing project by stakeholders and, hence, this is a structure of incomes as consequences of project implementation. In this paper we tested a method agreement of cooperation programs. Target parameters are effectiveness ratio of the regional authorities and the NM.

Wave model of forming of the martensite crystal in the heterogeneity medium.

Sergey Vikharev, Kashchenko M.P.
Journal Paper Advanced Studies in Theoretical Physics, Vol. 7, 2013, no. 16, 779–786.

Abstract

In the current work considering the wave model of the crystal growth control, an influence of heterogeneity of the medium on the forming martensite crystal s profile was examined. The considering of the heterogeneity is provided with the help of putting into operations the space-depending effective attenuation of the waves. The description of the heterogeneity was fulfilled in three different ways: exponential, quadratic and inverse-quadratic. It was shown, that dependently of the heterogeneity of the medium various martensite crystal s profile can be implemented, considering the shape of its butts as well. In particular the plate-like and the wedge-like of the crystal shapes are feasible.

Dynamic model of the formation of twinned martensite crystals: II. Pretransition states and relationships between the volumes of the twin components.

Sergey Vikharev, Kashchenko M.P., Chashchina V.G.
Journal Paper The Physics of Metals and Metallography. October 2010, Volume 110, Issue 4, pp 305-317.

Abstract

Dynamic models of the pretransition state of austenite that are compatible with the supersonic formation of internally twinned martensite crystals due to the concerted action of short-wavelength and long-wavelength displacements have been considered. The preference has been given to the model of a single starting dynamic cell capable of being periodically replicated in the region of the front of a control wave process. For the level of threshold deformations, an algorithm of determining fractions of the main and additional (twin) components has been put forward.

Dynamic model of the formation of twinned martensite crystals: I. Control wave process and the removal of degeneracy in twin-boundary orientation.

Sergey Vikharev, Kashchenko M.P., Chashchina V.G.
Journal Paper The Physics of Metals and Metallography. September 2010, Volume 110, Issue 3, pp 200-209.

Abstract

In terms of the concept of the control wave process, it is proposed to consider the formation of internally twinned martensite crystals as a result of a consistent action of quasi-longitudinal waves, which determine the orientation of the habit plane, and of shorter longitudinal waves, which make the major contribution to the control of the growth of the main component of the twin structure. A simple set of equations corresponding to the propagation of a threshold deformation that leads to the formation of platelike regions is given. It is shown that the removal of the degeneracy with respect to the orientations of the expected twin boundaries is due to the existence of feedbacks upon the initiation of the Bain-deformation mechanism. It is noted also that the twin structure can be formed through the excitation of short-wavelength cells in the inter-phase region at the stage of the martensite-crystal growth.

Comparison of martensite crystal profiles, calculated in a growth wave model and observed by experiment.

Sergey Vikharev, Kashchenko M.P., Chashchina V.G.
Journal Paper Metal Science and Heat Treatment 01/2010; 52(7): 357-361. December 2010, Volume 52, Issue 7-8, pp 357-361.

Abstract

A number of typical martensite crystal profiles observed by experiment are compared with the results of profile calculations obtained within the framework of a model of a controlling wave process in an inhomogeneous material. The satisfactory conformity obtained makes it possible, in principle, to reconstruct the nature of an inhomogeneous material according to profile shape.

Crystallodynamic model for selecting the orientation of twin structure boundaries during formation of a martensitic crystal

Sergey Vikharev, Kashchenko M.P., Chaschina V.G.
Journal Paper Russian Physics Journal. August 2009, Volume 52, Issue 8, pp 875-877

Component ratio in a layered structure formed by the controlling wave process in a metastable austenite

Sergey Vikharev, Kashchenko M.P., Chaschina V.G.
Journal Paper Russian Physics Journal. September 2009, Volume 52, Issue 9, pp 997-999.

Organization of maintenance of transport infrastructure in networks with shared interests with the use of the mathematical automata theory.

Sergey Vikharev, V. M. Say, S. V. Siziy, K. A. Varankina
Journal Paper Herald of USURT. 2011. No 3. P. 42–53. ISSN 2079-0392.

Abstract

For the effective use of transport system, all types of transport operated in the region are considered as a single system of common route network.

To justify the purpose of different types of vehicles and their quantity the concept of «conventional vehicle» is proposed. Initially, the number of conventional vehicles required to meet the passenger traffic needs is determined, which are later replaced with electric trains or buses.

The proposed approach to meeting the passenger traffic needs enables to: determine the required number of vehicles of each type to serve the route, assign the number of vehicles on a route, fully satisfying the need of passengers transportation along the entire route; consider a temporary change in traffic needs and optimizes destination per route with breakdown by time intervals (time of day, rush hours, etc.).

The approach can be easily used in those cases where only a portion of the route can be served by rail, and there are interconnection points with road transport on the route.

Organizational processes in networks with shared interests: relevance, problem statement, research plan.

Sergey Vikharev, S. V. Siziy, V. A. Schichko
Journal Paper Herald of USURT. 2009. No 1-2. P. 34–42. ISSN 2079-0392.

Abstract

Предложенная в настоящей статье обобщенная (постановочная) модель формализации организационных процессов в сетях будет способствовать дальнейшей строгой математической формализации взаимодействия, разработке имитационной модели, позволяющей учитывать интересы сторон и вырабатывать наилучшие варианты взаимодействия с учетом интересов сторон.