Рабочие группы: создание и управление

Elena A. Lezhnina; Gennady M. Khitrov; Elizaveta A. Kalinina; Ivan A. Kononov

doi:10.21638/11701/spbu10.2022.414

Authors

Elena A. Lezhnina St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0000-0002-1898-3792
Gennady M. Khitrov St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
Elizaveta A. Kalinina St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0000-0003-0288-3938
Ivan A. Kononov St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation https://orcid.org/0009-0009-3463-8823

DOI:

https://doi.org/10.21638/11701/spbu10.2022.414

Abstract

In modern management, one of the most popular and effective approaches to organizing activities is the creation of temporary working groups. An important indicator is the effectiveness of such groups, which strongly depends on the internal structure of the working group and the relationship between team members. For the effective functioning of the group, it is necessary that the group consists of a leader and subordinates. The artificial appointment of a team leader often proves ineffective. The article solves the problem of dividing the team into working groups, taking into account the relationship between individual personalities. Two algorithms are proposed: the first one divides the team into separate groups of possible leaders and subordinates, the second one makes effective working groups. The effectiveness of the group is calculated based on the ee efficiency function, which takes into account interpersonal relationships. Practical and numerical experiments were carried out to verify the adequacy of the model.

Keywords:

working groups, adjacency matrix, hierarchical clustering algorithm

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References

Литература

Moreno J. L. Foundations of sociometry: anintroduction // Sociometry. 1941. Vol. 4 (1). P. 15-35.

Campion M. A., Medsker G. J., Higgs A. C. Relations between workgroup characteristics and effectiveness: implications for design in effective workgroups // Pers. Psychol. 1993. Vol. 46 (4). P. 823-847.

Gutierrez J. H., Astudillo C. A., Ballesteros-Perez P., Mora-Melia D., Candia-Vejar A. The multiple team formation problem using sociometry// Computers & Operations Research. 2016. Vol. 75. P. 150-162.

Agustin-Blas L. E., Salcedo-Sanz S., Ortiz-Garcia E. G., Portilla-Figueras A., Perez-Bellido A. M., Jimenez-Fernandez S. Team formation based on group technology: a hybrid grouping genetic algorithm approach // ComputOperRes. 2011. Vol. 38 (2). P. 484-495.

Chen R.-C. Grouping optimization based on social relationships // Mathematical Problems in Engineering. 2012. Vol. 2012. Art. ID 170563. P. 1-19.

Chen R.-C., Li J. Y., Ma N. J., Chang Y. T. Application of sociometry and genetic algorithm to selection of classofficers // Information (Japan). 2013. Vol. 16 (2A). P. 1233-1241.

Новиков Д. А. Теория управления организационными системами. 2-е изд. М.: Физматлит, 2007. 584 с.

Ballesteros-Perez P., Gonzalez-Cruz M. C., Fernandez-Diego M. Proposal for a new method using sociometric techniques for optimal workgroups // Proceedings of the 18th International congress on project management and engineering. Alcaniz, 2014. P. 001-002.

Ballesteros-Perez P., Gonzalez-Cruz M. C., Fernandez-Diego M. Human resource allocation management in multiple projects using sociometric techniques // Intern. Journal of Proj. Manag. 2012. Vol. 30 (8). P. 901-913.

Губко М. В., Новиков Д. А. Теория игр в управлении организационными системами. М.: Синтег, 2002. 138 c.

Мишин С. П. Оптимальные иерархии управления в экономических системах. М.: ПМСОФТ, 2004. 190 c.

Васин А. А. Некооперативные игры в природе и обществе. М.: МАКС Пресс, 2005. 412 с.

Fudenberg D., Tirole J. Game theory. Cambridge: MIT Press, 1995. 604 p.

Myerson R. B. Game theory: analysis of conflict. London: Harvard University Press, 1991. 600 p.

Potters J., Sefton M., Heijden E. Hierarchy and opportunism in teams: Discussion paper. Tilburg: Tilburg University. 2005. N 2005-109. 32 p.

Milgrom P., Roberts J. Economics. Organization and management. New York.: Prentice-Hall, 1991. 621 p.

Camerer C. Behavioral game theory. Experiments in strategic interaction. Princeton: Princeton University Press, 2003. 568 p.

Новиков Д. А., Чхартишвили А. Г. Рефлексивные игры. М.: Синтег, 2003. 149 c.

Губко М. В. Математические модели оптимизации иерархических структур. М.: Ленанд, 2006. 264 с.

Новиков Д. А. Механизмы функционирования многоуровневых организационных систем. М.: Фонд <<Проблемы управления>>, 1999. 161 с.

Караваев А. П. Модели и методы управления составом активных систем. М.: ИПУ РАН, 2003. 151 с.

Storer N. W., Crane D. Invisible colleges. Diffusion of knowledge in scientific communities // Medical History. 1977. Vol. 21. P. 221-222.

Van Raan A. F. J. Measurement of central aspects of scientific research: performance, interdisciplinarity, structure // Measurement: interdisciplinary research and perspectives. 2005. Vol. 3 (1). P. 1-19.

Andres A. Measuring academic research. Oxford: Chandos Publ., 2009. 186 p.

Савицкая Д. В. Нормальная форма (0,1)-матриц и алгоритмы ее построения // Вестник Санкт-Петербургского университета. Сер. 10. Прикладная математика. Информатика. Процессы управления. 2008. Вып. 4. С. 85-97.

Кормен Т. Х., Лейзерсон Ч. И., Ривест Р. Л., Штайн К. Алгоритмы: построение и анализ. 2-е изд. / пер. с англ. И. В. Красикова, Н. А. Ореховой, В. Н. Романова; под ред. И. В. Красикова. М.: Изд-во <<Вильямс>>, 2006. 1296 с.

References

Moreno J. L. Foundations of sociometry: anintroduction. Sociometry, 1941, vol. 4 (1), pp. 15-35.

Campion M. A., Medsker G. J., Higgs A. C. Relations between workgroup characteristics and effectiveness: implications for design in effective workgroups. Pers. Psychol., 1993, vol. 46 (4), pp. 823-847.

Gutierrez J. H., Astudillo C. A., Ballesteros-Perez P., Mora-Melia D., Candia-Vejar A. The multiple team formation problem using sociometry. Computers & Operations Research, 2016, vol. 75, pp. 150-162.

Agustin-Blas L. E., Salcedo-Sanz S., Ortiz-Garcia E. G., Portilla-Figueras A., Perez-Bellido A. M., Jimenez-Fernandez S. Team formation based on group technology: a hybrid grouping genetic algorithm approach. ComputOperRes, 2011, vol. 38 (2), pp. 484-495.

Chen R.-C. Grouping optimization based on social relationships. Mathematical Problems in Engineering, 2012, vol. 2012, Art. ID 170563, pp. 1-19.

Chen R.-C., Li J. Y., Ma N. J., Chang Y. T. Application of sociometry and genetic algorithm to selection of classofficers. Information (Japan), 2013, vol. 16 (2A), pp. 1233-1241.

Novikov D. A. Teoriia upravleniia organizatsionnymi sistemami [Theory of management of organizational systems]. 2nd ed. Moscow, Physmathlit Publ., 2007, 584 p. (In Russian)

Ballesteros-Perez P., Gonzalez-Cruz M. C., Fernandez-Diego M. Proposal for a new method using sociometric techniques for optimal workgroups. Proceedings of the 18th International congress on project management and engineering. Alcaniz, 2014, pp. 001-002.

Ballesteros-Perez P., Gonzalez-Cruz M. C., Fernandez-Diego M. Human resource allocation management in multiple projects using sociometric techniques. Intern. Journal of Proj. Manag., 2012, vol. 30 (8), pp. 901-913.

Gubko M. V., Novikov D. A. Teoriia igr v upravlenii organizatsionnymi sistemami [Game theory in the management of organizational systems]. Moscow, Sinteg Publ., 2002, 138 p. (In Russian)

Mishin S. P. Optimal'nye ierarhii upravleniia v ekonomicheskih sistemah [Optimal management hierarchies in economic systems]. Moscow, PMSOFT Publ., 2004, 190 p. (In Russian)

Vasin A. A. Nekooperativnye igry v prirode i obshchestve [Non-cooperative games in nature and society]. Moscow, MAKS Press, 2005, 412 p. (In Russian)

Fudenberg D., Tirole J. Game theory. Cambridge, MIT Press, 1995, 604 p.

Myerson R. B. Game theory: analysis of conflict. London, Harvard University Press, 1991, 600 p.

Potters J., Sefton M., Heijden E. Hierarchy and opportunism in teams. Discussion paper. Tilburg, Tilburg University Press, 2005, no. 2005-109, 32 p.

Milgrom P., Roberts J. Economics. Organization and management. New York, Prentice-Hall Publ., 1991, 621 p.

Camerer C. Behavioral game theory. Experiments in strategic interaction. Princeton, Princeton University Press, 2003, 568 p.

Novikov D. A., Chkhartishvili A. G. Refleksivnye igry [Reflexive games]. Moscow, Sinteg Publ., 2003, 149 p. (In Russian)

Gubko M. V. Matematicheskiie modeli optimizatsii ierarhicheskih struktur [Mathematical models of optimization of hierarchical structures]. Moscow, LENAND Publ., 2006, 264 p. (In Russian)

Novikov D. A. Mehanizmy funktsionirovaniia mnogourovnenyh organizatsionnyh sistem [Mechanisms of functioning of multilevel organizational systems]. Moscow, "Management problems" foundation Publ., 1999, 161 p. (In Russian)

Karavaev A. P. Modeli i metody upravleniia sostavom aktivnyh sistem [Models and methods of active systems composition management]. Moscow, IPU RAS Publ., 2003, 151 p. (In Russian)

Storer N. W., Crane D. Invisible colleges. Diffusion of knowledge in scientific communities. Medical History, 1977, vol. 21, pp. 221-222.

Van Raan A. F. J. Measurement of central aspects of scientific research: performance, interdisciplinarity, structure. Measurement: interdisciplinary research and perspectives, 2005, vol. 3 (1), pp. 1-19.

Andres A. Measuring academic research. Oxford, Chandos Publ., 2009, 186 p.

Savitskaia D. V. Normal'naia forma (0,1)-matrits i algoritmy ee postroeniia [The normal form of (0,1)-matrices and algorithms for its construction]. Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Sciences. Control Processes, 2008, iss. 4, pp. 85-97. (In Russian)

Cormen Th. H., Leiserson Ch. E., Rivest R. L., Stein C. Introduction to algorithms. 2nd ed. Cambridge, Massachusetts, London, England, MIT Press and McGraw-Hill, 2001, 1312 p. (Rus ed.: Cormen Th. H., Leiserson Ch. E., Rivest R. L., Stein C. Algoritmy: postroenie i analiz. Moscow, Viliams Press, 2006, 1296 p.).