Abstract

The increase of investigations regarding digital systems for the social structure mapping leads to dynamizing previously rigidly recorded processes or deliberately ignored ones. Such processes include, among others, matters with a social context, which have been difficult to describe in mathematical terms. This investigation is an integral part of explanatory research on the digital representation of an organization. The main purpose of the study is to investigate the literary sources and approaches to find the determinants of a general surrogate model, to identify the required parameters and their mathematical contents as well, as to design a surrogate model construct capable of application to different digital organizational systems, independent of the dominant behavioural and decision-making pattern of the leadership unit. The relevance of this scientific problem decision is that recently, an increasingly vast number of research investigations on the digitization of anthropological systems is being done. The modeling of the leadership surrogate model is a part of our research on the digitization of organizational systems. Investigation of the topic is carried out in the following logical sequence: analysis of scientific publications on the researched subject and model creation. This part consists of successive steps: abstraction of a real system of management units and the delimitation of the indicated topics, definition of constraints for further simplification of the surrogate model, model construction, establishment of model-describing formalism and obtaining the exact surrogate model based on the dataset. Since our surrogate model has a general character, the last step was described only indicatively. Nevertheless, we consider this to be a tremendous potential extension for the following investigations on different scenarios. The research results can be useful for other scientists searching for research on the mathematical representations of the leadership model, the surrogate model for the leadership unit, and practitioners who intend to implement the leadership model in the digital organization system. The additional parameters can complement the created surrogate model; respectively the considered parameters can be calculated or measured by other methods.

Keywords: Digital Organizational Systems, Leadership Model, Surrogate Model, Mathematical Model.

JEL Classification: C690, M120.

Cite as: Skrynnyk, O. (2020). Surrogate Leadership Model for Digital Organizational Systems. Business Ethics and Leadership, 4(4), 140-146. https://doi.org/10.21272/bel.4(4).140-146.2020

This work is licensed under a Creative Commons Attribution 4.0 International License

References

1. Acharya, G. (2010). A Mathematical Model of Organisational Leadership. SSRN, 10. 12. 2010. 1-14. DOI:10.2139/ssrn.1909385. 
2. Adair, J., & Adair, J. E. (1988). The Action Centred Leader. Industrial Society (2nd ed.).
3. Azhmukhamedov, A. I., & Protalinskiy, O. M. (2015 a). Evaluating the efficiency of motivation in human resource management. Vestnik SGTU, 3(80), 107-114. Available at: https://cyberleninka.ru/article/n/otsenka-effektivnosti-motivatsionnyh-komponent-v-upravleniitrudovym-povedeniem-rabotnikov-transnatsionalnoy-korporatsii.
4. Azhmukhamedov, A. I., & Protalinskiy, O. M. (2015 b). Mathematical model the efficiency of the staff depending on the intensity institutional interventions. Uprawlenie w sozial’nych i ekonomitscheskich sistemach, 4, 110-117. Available at: https://cyberleninka.ru/article/n/matematicheskaya-modeleffektivnosti-raboty-personala-v-zavisimosti-ot-intensivnosti-institutsionalnyh-mer-vozdeystviya.  
5. Hersey, P., & Blanchard, K. (1988). Management and organizational behavior: Utilizing human resources (5th ed.). Englewood Cliffs, NJ: Prentice-Hall. 169-201. Available at: https://ess220.files.wordpress.com/2008/02/hersey-blanchard-1988.pdf.
6. Kouzes, J., & Posner, B. (2012). The Leadership Challenges: How to Make Extraordinary Things Happen in Organizations. San Francisco, CA: The Leadership Challenge − A Willy Brand. Available at: https://edisciplinas.usp.br/pluginfile.php/3988308/mod_resource/content/2/LEADERSHIP%20CHALLENGE.pdf.
7. Maksimov, A.A. (2006). Mathematical model of the mechanism of promotion of enterprise employees. Vestnik OGU, 2(2), 144-147. Available at: https://cyberleninka.ru/article/n/matematicheskaya-model-mehanizma-stimulirovaniya-rabotnikov-predpriyatiya.
8. Mejia, J. S., Mejia, S. E., Ramirez, C. M. Z. (2009). Mathematical Model of Leadership for organizational leaders. Scientia et Technica Año 15(43), 106-111. Available at: http://www.utp.edu.co/php/revistas/ScientiaEtTechnica/docsFTP/74927106-111.pdf.
9. Moradinasab, N., Soofifard, R., Asili, G.R. (2016). Developing an effective mathematical model for leadership styles selection by using fuzzy logic: a case on RIPI HR characteristics. International Journal of Productivity and Quality Management (IJPQM), 19(4), 466-484. DOI:10.1504/IJPQM.2016.080153.  
10. Novikov, D.A. (2007). Teoriia upravleniia organizatsionnymi sistemami [Theory of control of the organizational systems]. Moscow, Fizmatlit Publ. 584 p. Available at: http://www.aup.ru/books/m1379/.
11. Novikov, D.A., Gubanov, D.A., Chkhartishvili, A.G. (2010). Sotsial’nye seti: modeli informatsionnogo vliianiia, upravleniia i protivoborstva [Social networks: models of information influence, control and collision]. Moscow, Fizmatlit Publ. 228 p. Available at: https://b-ok.cc/book/779797/d0d3c2.   
12. Skrynnyk, O., & Vasilyeva, T. (2020). Neuro-Genetic Hybrid System for Management of Organizational Development Measures. CEUR Workshop Proceedings 2732, 411-422. Available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-85096109482&origin=resultslist&sort=plf-f&src=s&st1=ICTERI+2020&nlo=&nlr=&nls=&sid=603e61954a7725043acf1fb2d7af3b3e&sot=b&sdt=sisr&sl=17&s=CONF%28ICTERI+2020%29&ref=%28%28Olena%2c+S.%29%29+AND+%28Olena%2c+S.%2c+Tetyana%2c+V.%29&relpos=0&citeCnt=0&searchTerm=Volume:2732. 
13. Stogdill, R.M. (1948). Personal Factors Associated with Leadership: A Survey of the Literature. The Journal of Psychology, 25, 35-71. DOI:10.1080/00223980.1948.9917362.
14. Tannenbaum, R., & Schmidt, W.H. (1958). How to choose a leadership pattern. Harvard Business Review 36(2), 95-101. DOI:10.4324/9781315250601-8.
15. Tannenbaum, R., & Schmidt, W.H. (1973). How to Choose a Leadership Patterns. Harvard Business Review, 51, 162-180. Available at: https://hbr.org/1973/05/how-to-choose-a-leadership-pattern.
16. Vahs, D. (2001). Organisation: Einführung in die Organisationstheorie und – praxis. [Organization: introduction to organizational theory and practice] Praxisnahes Wirtschaftsstudium (3rd ed.). Schäffer-Poeschel, 95-100.