NONLINEAR DYNAMICS MODEL FOR THE ANALYSIS OF THE OF THE KNOWLEDGE MANAGEMENT SYSTEM INFLUENCE ON HIGH-TECHNOLOGICAL PROJECTS IMPLEMENTATION

Василь Михайлович Вартанян, Дар'я Олександрівна Штейнбрехер

Abstract


The article determines that at the present stage of the project management development in information-oriented society, the decision-making process on the efficiency of the knowledge management system assessment is complicated, due to the lack of approaches that determine the impact of the system on the project implementation. The article presents the main results of the analysis of the current state of the problem of modeling the knowledge management system of high-tech projects, which helped to establish that one of the factors of the introduction of an effective system of knowledge preservation is the ability to assess the impact of the system on the project environment.

In order to solve the problem, the mathematical model of nonlinear dynamics for the analysis of the influence of knowledge management system on the project based on the Bulirsch–Stoer method was proposed, it is possible to evaluate the influence of elements of the knowledge management system on the projected stages of the project implementation and to calculate the duration of the project taking into account their influence. The mathematical model of nonlinear dynamics for the analysis of the influence of the knowledge management system on the Bulirsch–Stoer method is given to evaluate the influence of elements of the knowledge management system on the projected implementation stages and to calculate the duration of the project, taking into account their impact. Bulirsch–Stoer algorithm is a method for the numerical solution of ordinary differential equations which combines three powerful ideas: Richardson extrapolation, the use of rational function extrapolation in Richardson-type applications, and the modified midpoint method, to obtain numerical solutions to ordinary differential equations (ODEs) with high accuracy and comparatively little computational effort. The step-by-step tracking of the knowledge management system impact on the project development will allow the project manager to predict both its successful completion and the risks of deviation from the scheduled time due to the loss of critical knowledge, which largely stems from the successful implementation of the project.

Further research will be aimed at developing a model that allows us to assess the profitability of the system in the design environment, based on the results of the proposed mathematical model.

Keywords


knowledge management; model; nonlinear dynamics; investment; development

References


Kryvovyazyuk, I. V., Kulyk, Y. M. Zabezpechennya innovatsiynoyi aktyvnosti aviatsiynykh pidpryyemstv u konteksti yikh lohistychnoyi diyal'nosti [Supply of innovative activity of aviation enterprises in the context of their logistics activity]. Problemy systemnoho pidkhodu v ekonomitsi. Zbirnyk naukovykh prats' – Problems systematic approach in economics, 2017, vol. 6(62), part 1, pp. 7-13.

Shedyakov, V. Ye. Dosyahnennya y utrymannya konkurentospromozhnosti v umovakh posylennya roli ekonomiky znan' [Achieving and maintaining competitiveness in conditions of strengthening the role of the knowledge economy]. Formuvannya rynkovykh vidnosyn v Ukrayini – The formation of market relations in Ukraine, 2015, no. 4(167), pp. 22-29.

Hislop, D., Bosua, R., Helms, R. Knowledge management in organizations: A critical introduction. Oxford University Press Publ., 2018. 344 р.

Nikolaeva, Ju. R., Shubina E. A., Tajdaev, R. M. Upravlenie intellektual'nym kapitalom v uslovijah innovacionnoj jekonomiki [Management of the intellectual capital in the conditions of innovative economy] Social'no-jekonomicheskie javlenija i processy – Social and Economic Phenomena and Processes, 2015, vol. 10, iss. 10, pp. 93-97. DOI: 10.20310/1819-8813-2015-10-10-93-97.

Belous-Sergeeva, S. O. Otsinka intelektual'noho kapitala promyslovoho pidpryyemstva [Estimation of the intellectual capital of an industrial enterprise]. Teoretychni i praktychni aspekty ekonomiky ta intelektual'noyi vlasnosti – Theoretical and practical aspects of economy and intellectual property, 2011, vol. 1, pp. 208-213.

Illyashenko, S. M., Shypulina, Yu. S., Illyashenko, N. S., Komarnyts'ka, H. O. Upravlinnya znannyamy v systemi innovatsiynoho rozvytku orhanizatsiyi [Knowledge management in the system of innovative development of the organization]. Marketynh i menedzhment innovatsiy – Marketing and management of innovations, 2017, no. 1, pp. 231-241.

Massingham, P. R. Measuring the impact of knowledge loss: a longitudinal study. Journal of Knowledge Management, 2018, vol. 22, iss. 4, pp. 721-758. DOI: 10.1108/JKM-08-2016-0338.

Smokvina, H. A. Pidkhody ta instrumenty otsinyuvannya intelektual'noho kapitalu yak chynnyka zabezpechennya ekonomichnoyi bezpeky pidpry-yemstva [Approaches and tools for evaluating intellectual capital as a factor for providing enterprise economic security]. EKONOMIKA: realiyi chasu – ECONOMICS: realities of time, 2016, vol. 28, iss. 6, pp. 114-126.

Hussinki, H., Ritala, P., Vanhala, M., Kianto, A. Intellectual capital, knowledge management practices and firm performance. Journal of Intellectual Capital, 2017, vol. 18, iss. 4, pp. 904-922. DOI: 10.1108/JIC-11-2016-0116.

Chulichkov, A. I. Matematicheskie modeli nelinejnoj dinamiki [Mathematical models of nonlinear dynamics]. Moscow, Fizmatgiz Publ., 2003. 296 p.

. Sharkovskij, A. N., Majstrenko, Ju. A., Romanenko, Ju. E. Raznostnye uravnenija i ih prilo-zhenija [Difference equations and their applications]. Kiev, Naukova Dumka Publ., 1986. 280 p.

Ofitsiyna storinka Naukovo-vyrobnychoho pidpryyemstva «Radiy» [Official page of the Scientific-Production Enterprise "Radiy"]. Available at: http://www.radiy.com/ (Аccessed 12.03.2019).




DOI: https://doi.org/10.32620/aktt.2019.3.09