Development of the model of interaction among the project, team of project and project environment in project system

Olexii Kolesnіkov, Viktor Gogunskii, Kateryna Kolesnikova, Dmytro Lukianov, Tetiana Olekh

Abstract


The world experience of solving the problems of project management is generally directed to the use of the best practices. But conditions for the improvement and development of organizational structures in management of organizations and enterprises are not always created. In this study, in the context of project management theory, the structure of communication between the main entities of the process: the team, the project and its environment was generalized. The assignment of these components of the project environment to specific discrete states, in which the project system may be, enables to display the system using a Markov chain with three discrete states. The transition probabilities of the Markov chain for the project environment determine its characteristics which vary in discrete time step by step in the form of a certain set of state probabilities. Cognitive features of the model which was built on the basis of a Markov chain allows to assign specific values to the transition probabilities of the system. In this paper, a new approach for determining the values of the transition probabilities is proposed. The transition probabilities are identified with the relative time of resource cost in each of the discrete states.

Using the cognitive model that was created by the interaction of the main entities of the project, namely, the team, the project and its environment, the trajectory of the projects development in the case of loyal cooperation and in the case of resistance of the project environment was studied. The received results reflect a strong growth trend of the time resource cost for system interaction with the environment of the project, which eventually will delay the implementation of the project.

The obtained results do not contradict the definition of the law of S. D. Bushuev. The structure of the project management in the stage of initiation of the project includes the team, the project and environment of the project. These entities are constantly interacting with each other. The change of the state probabilities of the project fully reflects the progress and impact of the project. This new understanding of the project systems leads us to the development of modern approaches as the basis for new practices in project management.


Keywords


project management; discrete conditions; Markov chains; marked graph; transition probabilities

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References


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GOST Style Citations


Bushuyev, S. D. Convergence of knowledge in project management [Text]: conference / S. D. Bushuyev, D. A. Bushuyev, V. B. Rogozina, O. V. Mikhieieva // 2015 IEEE 8th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS), 2015. – P. 496–500. doi: 10.1109/idaacs.2015.7341355 

Killen, C. Advancing project and portfolio management research: Applying strategic management theories [Text] / C. Killen, K. Jugdev, N. Drouin, Yv. Petit // International Journal of Project Management, Elsevier. – 2012. – Vol. 30, Issue 5. – P. 525–538. doi: 10.1016/j.ijproman.2011.12.004 

Gogunsky, V. D. The basic laws of project management [Text] / V. D. Gogunsky, S. V. Rudenko // Project Management: Status and Prospects, Intern. Conf., 2008. – P. 37–40.

Huemann, M. Excellent research to move project management forward [Text] / M. Huemann // International Journal of Project Management. – 2013. – Vol. 31, Issue 1. – P. 161‑163. doi: 10.1016/j.ijproman.2012.10.002 

Bértholo, J. The Shadow in Project Management. Procedia [Text] / J. Bértholo // Procedia - Social and Behavioral Sciences. – 2013. – Vol. 74. – P. 358–368. doi: 10.1016/j.sbspro.2013.03.007 

Van der Hoorn, B. Playing projects: Identifying flow in the ‘lived experience’ [Text] / B. Van der Hoorn // International Journal of Project Management. – 2015. – Vol. 33, Issue 5. – P. 1108–1021. doi: 10.1016/j.ijproman.2015.01.009 

Tasevska, F. Project planning practices based on enterprise resource planning systems in small and medium enterprises ‑ A case study from the Republic of Macedonia [Text] / F. Tasevska, T. Damij, N. Damij // International Journal of Project Management. – 2014. – Vol. 32, Issue 3. – P. 529–539. doi: 10.1016/j.ijproman.2013.08.001 

Van der Hoorn, B. Signs to dogma: A Heideggerian view of how artefacts distort the project world [Text] / B. Van der Hoorn, S. J. Whitty // International Journal of Project Management. – 2015. – Vol. 33, Issue 6. – P. 1206–1219. doi: 10.1016/j.ijproman.2015.02.011 

Sherstyuk, O. The research on role differentiation as a method of forming the project team [Text] / O. Sherstyuk, Т. Olekh, K. Kolesnikova // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 2, Issue 3 (80). – P. 63–68. doi: doi: 10.15587/1729-4061.2016.65681 

Gogunskii, V. "Lifelong learning" is a new paradigm of personnel training in enterprises [Text] / V. Gogunskii, O. Kolesnіkov, K. Kolesnіkova, D. Lukianov // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 4, Issue 2 (82). – P. 4–10. doi: 10.15587/1729-4061.2016.74905 

Otradskaya, T. Development process models for evaluation of performance of the educational establishments [Text] / T. Otradskaya, V. Gogunskii // Eastern-European Journal of Enterprise Technologies. ‑ 2016. – Vol. 3, Issue 3 (81). – P. 12–22. doi: 10.15587/1729-4061.2016.66562 

Grau, N. Standards and Excellence in Project Management – In Who Do We Trust? [Text] / N. Grau // Procedia ‑ Social and Behavioral Sciences. – 2013. – Vol. 74. – Р. 10–20. doi: 10.1016/j.sbspro.2013.03.005 

Lj, M. Project success analysis framework: A knowledge-based approach in project management [Text] / M. Lj, Todorović, D. Č. Petrović, M. M. Mihić, V. Lj. Obradović, S. D. Bushuyev // International Journal of Project Management. ‑ 2015. – Vol. 33, Issue 4. – P. 772–783. doi: 10.1016/j.ijproman.2014.10.009 

Bushuyev, S. Proactive Program Management for Development National Finance System in Turbulence Environment [Text] / S. Bushuyev, R. Jaroshenko // Procedia ‑ Social and Behavioral Sciences. ‑ 2013. – Vol. 74. ‑ P. 61–70. doi: 10.1016/j.sbspro.2013.03.044 

Waysman, V. A. Design Markov model states of system of design driven organization [Text] / V. A. Waysman // Bulletin of Sumy State University. Series Engineering. – 2011. – Vol. 3. – P. 13‑18.


DOI: https://doi.org/10.15587/1729-4061.2016.80769

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Copyright (c) 2016 Olexii Kolesnikov, Viktor Gogunskii, Kateryna Kolesnikova, Dmytro Lukianov, Tetiana Olekh

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061