BUSINESS INFORM №10-2016

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Section: Economic and Mathematical Modeling
UDC 519.86:005.32:65.013
Ryabenko А. Е., Tereschenko E. V.
The 3-Criterion Model of Formation of Task Forces (p. 129 - 134)
The article is concerned with developing mathematical methods for solving the problem of formation of task forces, taking into consideration psychological compatibility. The authors have proposed the mathematical model of formation of task forces, consisting of two members, taking into consideration psychological compatibility in form of the 3-criterion task (MINSUM criterion, MINMAX criterion, and the criterion of minimizing the amount of «bottlenecks») building a perfect matching, using the weighted full graph. Undecidability of a multicriterion task with such a set of criteria while using the algorithm linear convolution of criteria has been proved for the first time. The example, demonstrating the basic stages of the task set using the developed mathematical model, has been considered in detail: building the perfect matching, building the set of Pareto multiple optimal solutions, applying the algorithm of linear convolution of criteria. The developed mathematical model provides an instrument for efficient allocation of options for task forces with the most psychologically compatible participators.
Keywords: task force, psychological compatibility, multicriteriality, Pareto set, perfect matching, algorithm of linear convolution of criteria, computational complexity
Fig.: 2. Formulae: 4. Bibl.: 9.

Ryabenko Аnton Е. – Candidate of Sciences (Physics and Mathematics), Associate Professor, Associate Professor, Department of System Analysis, Zaporizhzhya National Technical University (64 Zhukovskoho Str., Zaporіzhzhya, 69063, Ukraine)
Email: [email protected]
Tereschenko Elina V. – Candidate of Sciences (Physics and Mathematics), Associate Professor, Associate Professor, Department of System Analysis, Zaporizhzhya National Technical University (64 Zhukovskoho Str., Zaporіzhzhya, 69063, Ukraine)
Email: [email protected]

Article is written in Russian
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Reference to this article:
Ryabenko, Аnton Е., and Tereschenko, Elina V. (2016) “The 3-Criterion Model of Formation of Task Forces.” Business Inform 10:129–134.

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