USE OF VECTOR ALGEBRA TO ENSURE THE INTEGRITY OF THE COMPONENTS OF THE PROJECT-VECTOR MANAGEMENT MULTISYSTEM OF EDUCATIONAL ENVIRONMENTS
DOI:
https://doi.org/10.37943/AITU.2021.35.85.002Keywords:
project-vector space, educational environments, vector algebra, distance between vectorsAbstract
The article is devoted to the development of a mathematical model of the projectvector space of educational environments. Mathematical formalization of the project-vector space is performed. The main directions of application of vector algebra to ensure the integrity of the components of multisystem of project-vector management of educational environments are proposed. It is shown that in order to build an effective project management system, it is not so much the direction of movement of individual objects that is important, but the same or different vectors of their movement in the project-vector space. The same vectors mean that the movement of objects of different projects is equally conditioned. A model for calculating the distances between vectors and determining the optimal set of project groups (respectively, subsystems of the project management system) is proposed. Mathematical models have been developed for estimating the magnitude of the similarity of vectors over significant time intervals, as well as estimating the magnitude of the proximity of vectors specified by qualitative categories. These models show that the slower the objects of various projects move relative to each other, the more profitable it is to attribute them to one group and manage them on the basis of a single component of a multi-project management system.
References
Cliffort, F.G. (2003). Upravlenie proektami: prakticheskoe rukovodstvo [Project management] / F.G.Clifffort, E.W. Larson. – M.: Business and Service, 528.
Kovalenko, N. V. (2009). Kriterial’nyj podhod k upravleniju kachestvom v mul’tiproektnoj srede proektno-orientirovannyh kompanij. [An indicative approach to quality management in a multiproject environment of project-oriented companies]. Project management and production development, (1 (29)).
Kamenskaya, V. (2009). Strategicheskie napravlenija upravlenija vuzov v uslovijah realizacii innovacionnyh proektov [Strategic directions of university management in the context of the implementation of innovative projects]. Economic Bulletin of the University, 11, 1-11.
Rach, V. A., Kolyada, O. P., & Antonyan, E. A. (2009). Metod invariantnyh pokazatelej opisanija strategij razvitija kak instrument formirovanija portfelja proektov. [The method of invariant indicators for describing development strategies as a tool for forming a portfolio of projects]. Project management and development, (2 (30)).
Teslya, Y.N. (2010). Introduction to informatics of Nature: Monograph. К.: Maklaut, 2010.–255.
Turner, J. (2007). A guide to project-oriented management. Moscow: Dom Grebennikova.
Holod, B.I. (2012). Sovremennyj instrumentarij vybora operacionnyh strategij razvitija VUZov. [Modern tools for choosing operational strategies for the development of universities]. Academy review, 1(36), 5-12.
The Standard for Portfolio management / Project Management Institute, Inc. Four Campus Boulevard Newtown Square, Pennsylvania USA, 2008, 203.
Laszlo, C.A., Levine, M.D., & Milsum, J.H. (1974). A general systems framework for social systems. Behavioral Science, 19(2), 79-92.
Biloshchytskyi, A.A. (2012). Model’ rasshirjajushhejsja vselennoj proektov v upravlenii obrazovatel’nymi sredami. [Model of the expanding universe of projects in the management of educational environments]. Eastern European Journal of Advanced Technologies, 1(11 (55)), 41-43.
Biloshchytskyi, A.A. (2012). Vektornyj metod celepolaganija proektov v proektno-vektornom prostranstve. [Vector method of goal-setting projects in the project-vector space]. Management of Development of Complex Systems, 11, 110-114.
Biloshchytskyi, A.A. (2010). Upravlenie vysshimi uchebnymi zavedenijami s primeneniem metodov upravlenija proektami. [Management of higher educational institutions with the use of project management methods]. Management of Development of Complex Systems, 3, 87-91.
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