DOI: https://doi.org/10.15587/1729-4061.2017.112076

Development of the model of minimax adaptive management of innovative processes at an enterprise with consideration of risks

Vitalina Babenko, Yuri Romanenkov, Larysa Yakymova, Aleksandr Nakisko

Abstract


The authors consider a discrete dynamic system, containing an object – the innovative process (IP). Its dynamics is described by the vector linear discrete recurrent ratio and is influenced by controlled parameters (controls) and an uncontrolled parameter (the vector of risk or obstacle). In this case, risks in the system of IP management at an enterprise will imply the factors that influence negatively or disastrously the results processes, considered in it.

To solve the set problem, a general model of IP management for organization of minimax adaptive management in the selected class of permissible strategies of adaptive management was formalized. It was proposed to use a deterministic approach for modeling and solution of the original problem in the form of dynamic problem of minimax IP management (optimization of the guaranteed result) at a given moment of time, with consideration of risks. To solve the problem of minimax IP management in the face of risks, the authors propose the method that is reduced to implementation of solutions of a finite number of problems of linear and convex mathematical programming, as well as a discrete optimization problem. Solution of the set problem of minimax IP management allows obtaining the optimal guaranteed (minimax) outcome.

For effective implementation of the resulting mathematical apparatus in practice of work of enterprises, the detailed model of multicriteria optimization of IP management at an enterprise in the face of risks was developed, which describes dynamics of the studied process to the full. Generated optimization criteria and the system of phase constraints of the model take into consideration possibilities of production capacities, as well as meet the requirements for IP.

The proposed method makes it possible to develop effective numerical procedures that enable us to implement computer modeling of dynamics of the considered problem, to formulate adaptive minimax IP management at an enterprise and to obtain the optimum guaranteed results.

The presented results could be used for economic-mathematical modeling and solution of other problems of optimization of processes of data forecasting and management under conditions of information deficit and existence of risks. In addition, the developed tools of modeling can be the basis for development of appropriate software and hardware complexes for supporting effective managerial decision making in practice.

Keywords


innovative process; modeling; risks; optimization; minimax adaptive management; guaranteed outcome

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References


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Babenko, V. A. (2013). Formirovanie detalizirovannoy ekonomiko-matematicheskoy modeli dinamiki upravleniya innovacionnymi processami predpriyatiy APK pri nalichii riskov. Izvestiya Ural. gos. ekon. un-ta, 6, 31–38.

Johnson, M. W. (2010). Seizing the white space. Business Model Innovation for growth and renewal. Harvard Business Press, 240.

Babenko, V., Pasmor, M., Pankova, J., Sidorov, M. (2017). The place and perspectives of Ukraine in international integration space. Problems and Perspectives in Management, 15 (1), 80–92. doi: 10.21511/ppm.15(1).2017.08

Pushkar, O., Garkin, V. (2012). Model and quality criteria of the structural subsystems of information systems. Scientific enquiry in the contemporary world: theoretical basics and innovative approach. L&L Publishing Tittusville, FL, USA Copyright, 6, 66–71.

Hryhoruk, P. M., Paraska, S. H. (2014). Analiz ekonomiko-matematychnykh modelei innovatsiynoi diyalnosti pidpryiemstva. Naukovyi visnyk Khersonskoho derzhavnoho universytetu, 7, 162–165.

Hrytsiuk, P. M. (2014). Modeliuvannia vplyvu infliatsyi na ekonomichne zrostannia Ukrainy. Naukovi zapysky Natsionalnoho universytetu "Ostrozka akademiya". Seriya: Ekonomika, 27, 144–149.

Cherniak, O. I., Zakharchenko, P. V. (2013). Suchasni kontseptsyi prohnozuvannia rozvytku skladnykh sotsialno-ekonomichnykh system. Berdiansk: Vydavets Tkachuk O. V., 556.


GOST Style Citations


Vasylieva, N. K. Economic and mathematical evaluation of Ukrainian agrarian market by branches [Text] / N. K. Vasylieva, I. I. Vinichenko, L. I. Katan // Economic Annals-XXI. – 2015. – Issue 9-10. – Р. 41–44.

Vasylieva, N. Cluster models of households’ agrarian production development [Text] / N. Vasylieva // Economic Annals-ХХI. – 2016. – Vol. 158, Issue 3-4 (2). – P. 13–16. doi: 10.21003/ea.v158-03 

Babenko, V. A. Formirovanie ekonomiko-matematicheskoy modeli dinamiki processa upravleniya innovacionnymi tekhnologiyami na predpriyatiyah APK [Text] / V. A. Babenko // Aktualni problemy ekonomiky. – 2013. – Issue 1 (139). – P. 182–186.

Dilenko, V. A. Ekonomiko-matematicheskoe modelirovanie innovacionnyh processov [Text]: monogr. / V. A. Dilenko. – 2-e izd., izmen. i dop. – Odessa: Fenіks, 2013. – 348 p.

Rafalski, R. A new concept of evaluation of the production assets [Text] / R. Rafalski // Foundations of Management. – 2012. – Vol. 4, Issue 1. – P. 75–104. doi: 10.2478/fman-2013-0005 

The Business Model Innovation Factory: How to Stay Relevant When The World is Changing [Text] / S. Kaplan (Ed.). – Wiley, 2012. doi: 10.1002/9781119205234 

Rosegger, G. The Economics of Production and Innovation. An Industrial Perspective [Text] / G. Rosegger. – Oxford, Pergamon Press, 2010. – 236 p.

Sosna, M. Business Model Innovation through Trial-and-Error Learning [Text] / M. Sosna, R. N. Trevinyo-Rodríguez, S. R. Velamuri // Long Range Planning. – 2010. – Vol. 43, Issue 2-3. – P. 383–407. doi: 10.1016/j.lrp.2010.02.003 

Teece, D. J. Business Models, Business Strategy and Innovation [Text] / D. J. Teece // Long Range Planning. – 2010. – Vol. 43, Issue 2-3. – P. 172–194. doi: 10.1016/j.lrp.2009.07.003 

Shorikov, A. F. Algoritm resheniya zadachi optimal'nogo terminal'nogo upravleniya v lineynyh diskretnyh dinamicheskih sistemah [Text] / A. F. Shorikov // Informacionnye tekhnologii v ekonomike: teoriya, modeli i metody. – Ekaterinburg: Izd-vo Ural. gos. ekon. un-ta, 2005. – P. 119–138.

Shorikov, A. F. Optimizaciya garantirovannogo rezul'tata v dinamicheskoy modeli upravleniya innovacionnym processom na predpriyatii [Text] / A. F. Shorikov, V. A. Babenko // Ekonomika regiona. – 2014. – Issue 1. – P. 196–202.

Babenko, V. O. Upravlinnia innovatsiynymy protsesamy pererobnykh pidpryiemstv APK (matematychne modeliuvannia ta informatsiyni tekhnolohyi) [Text]: monohr. / V. O. Babenko; Khark. nats. ahrar. un-t im. V. V. Dokuchaieva. – Kharkiv: KhNAU, Kh. – Machulyn, 2014. – 380 p.

Babenko, V. О. Modeling of factors influencing innovation activities of agricultural enterprises of Ukraine [Text] / V. О. Babenko // Scientific Bulletin of Polissia. – 2017. – Vol. 2, Issue 1 (9). – P. 115–121. doi: 10.25140/2410-9576-2017-2-1(9)-115-121 

Lotov, A. V. Vvedenie v ekonomiko-matematicheskoe modelirovanie [Text] / A. V. Lotov. – Moscow: Nauka, Glavnaya redakciya fiziko-matematicheskoy literatury, 1984. – 332 p.

Propoy, A. I. Elementy teorii optimal'nyh diskretnyh processov [Text] / A. I. Propoy. – Moscow: Nauka, Glavnaya redakciya fiziko-matematicheskoy literatury, 1973. – 368 p.

Ter-Krikorov, A. M. Optimal'noe upravlenie i matematicheskaya ekonomika [Text] / A. M. Ter-Krikorov. – Moscow: Nauka, 1977. – 216 p.

Babenko, V. A. Formirovanie detalizirovannoy ekonomiko-matematicheskoy modeli dinamiki upravleniya innovacionnymi processami predpriyatiy APK pri nalichii riskov [Text] / V. A. Babenko // Izvestiya Ural. gos. ekon. un-ta. – 2013. – Issue 6. – P. 31–38.

Johnson, M. W. Seizing the white space. Business Model Innovation for growth and renewal [Text] / M. W. Johnson. – Harvard Business Press, 2010. – 240 p.

Babenko, V. The place and perspectives of Ukraine in international integration space [Text] / V. Babenko, M. Pasmor, J. Pankova, M. Sidorov // Problems and Perspectives in Management. – 2017. – Vol. 15, Issue 1. – P. 80–92. doi: 10.21511/ppm.15(1).2017.08 

Pushkar, O. Model and quality criteria of the structural subsystems of information systems [Text] / O. Pushkar, V. Garkin // Scientific enquiry in the contemporary world: theoretical basics and innovative approach. – L&L Publishing Tittusville, FL, USA Copyright, 2012. – Vol. 6. – Р. 66–71.

Hryhoruk, P. M. Analiz ekonomiko-matematychnykh modelei innovatsiynoi diyalnosti pidpryiemstva [Text] / P. M. Hryhoruk, S. H. Paraska // Naukovyi visnyk Khersonskoho derzhavnoho universytetu. – 2014. – Issue 7. – P. 162–165.

Hrytsiuk, P. M. Modeliuvannia vplyvu infliatsyi na ekonomichne zrostannia Ukrainy [Text] / P. M. Hrytsiuk // Naukovi zapysky Natsionalnoho universytetu "Ostrozka akademiya". Seriya: Ekonomika. – 2014. – Issue 27. – P. 144–149.

Cherniak, O. I. Suchasni kontseptsyi prohnozuvannia rozvytku skladnykh sotsialno-ekonomichnykh system [Text]: monohr. / O. I. Cherniak, P. V. Zakharchenko. – Berdiansk: Vydavets Tkachuk O. V., 2013. – 556 p.



 

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Copyright (c) 2017 Vitalina Babenko, Yuri Romanenkov, Larysa Yakymova, Aleksandr Nakisko

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