Lapshyn Ye.S., Molchanov R.N., Blyuss B.А., Osadcha N.V. Improving the criteria for choosing the strategies in management by geotechnical systems

Geoteh. meh. 2019, 146, 61-68

https://doi.org/10.1051/e3sconf/201910900048

IMPROVING THE CRITERIA FOR CHOOSING THE STRATEGIES IN MANAGEMENT BY GEOTECHNICAL SYSTEMS

1Lapshyn Ye.S., 2Molchanov R.N., 1Blyuss B.А., 1Osadcha N.V.

1Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, 2 State Institution “Dnipropetrovsk Medical Academy of the Ministry of Health of Ukraine”

UDС 622.2.8:005.21                                          

Language: English

Abstract.

The authors of presented work showed that the need for decision-making based on game theory was determined by a combination of the criteria and the tools effectiveness in the planning of mining operations and the management of technological processes in mining enterprises. The main purpose of the work was to improve the criteria by taking into consideration the influence of possible states of nature (geological disturbances) on the choice of management strategy. The conclusion has been made about the necessity to choose the optimal strategies for management by geotechnical systems, based on the analysis of geological faults, which are the main indicator of the mining and geological conditions that characterize the mineral deposits, as well as on the parameters for the infrastructure development of the underground space. It was shown in the paper that the Wald criterion (the criterion of a guaranteed result, the criterion of pessimism) is one of the most important criteria for reliable decision making. It is also used in a number of composite criteria: Hurwitz, Hodge-Lehman and Germeyer-Hurwitz. When constructing some mathematical model, the authors had determined the scope of Wald's criterion: nothing is known about the probabilities of states of nature; we will not allow risk; only a small number of solutions can be implemented. The methodological peculiarity of solving the problems set is the use of game theory with modified criteria of Wald, maximax and Savage, since the manifestation of specific geological faults is probabilistic in nature. When choosing the optimal strategy, the average linear deviations of gains or risks are taken into account. As a result of the studies, it was found that the disadvantage of the Wald, maximax and Savage criteria is that they do not take into consideration all the states of nature - possible geological faults. In order to avoid this disadvantage, it is proposed, when choosing the optimal strategy, in addition to take into consideration the average linear deviations of gains or risks that characterize the effectiveness of management by geotechnical systems.

Keywords: geological disturbances, game theory, Wald criterion, maximax criterion, Savage criterion.

 

REFERENCES

1. Mineev S.P., Rubinskiy, A.A., Vitushko, O.V. and Radchenko, A.G. (2010). Gornyierabotyivslozhnyihusloviyahnavyibrosoopasnyihugolnyihplastah  Donetsk: shidniy vidavnichiy dim

2. Taha, Hemdi (2005). Vvedenie v issledovanie operacij. Moskva: Izdatel'skij dom “Vil'yams”

3. Shiyan, A.A. (2009). Teorіya іgor: osnovi ta zastosuvannya v ekonomіcі ta menedzhmentі. Vіnnicya: VNTU

4. Petrushenko, M.M. (2012). Economic "games against nature": a model for decision-making in the field of environmental conflict management. Bіznes Іnform, 4, 130-132

5. Shapkin, A.S., Shapkin, V.A. (2005). Teoriya riska i modelirovanie riskovyh situacij. Moskva: Izdatelsko-torgovaya korporaciya «Dashkov & C0»

6. Shubik, М. (2012). The present and future of game theory. Matematicheskaya teoriya igr i ee prilozheniya [Mathematical game theory and its applications], 4, 1, 93-116

7. Kaluski, Ya. (2011). Application of game theory in the planning and management of mining enterprise resources,  Komp'yuting [Computing], 10, 2, 172-178

8. Bulat, A.F., Bun'ko, T.V., Kokoulin, I.Ye., and Yashchenko, I.A. (2017). The criteria for use of a risk matrix for the improvement of production management system and occupational safety and health in coal mines. Geotehnicheskaya mehanika [Geo-technical Mechanics], 133, 228-238

9. Information Services (2011). indeterminacy, available at:  https://ru.wikipedia.org

10. Vil'chek, F. (2016). Krasota fiziki: Postigaya ustroystvo prirody. Moskva: Al'pina non-fikshn

11. Labsberg, L.G., Yanovskai, E.V. (2002). General methodology for constructing criteria for optimal solutions in the conditions of risk and uncertainty, Upravleniye riskom [Risk management], 4, 13-24

12. Labsberg, L.G. (2009). On the indicator of optimism of a person making a decision on the Generalized Hurwitz criterion. Ekonomicheskiye nauki [Economics], 53, 305-312

13. Mikhaelis, V.V. (2016). The application of some criteria for the selection of the optimal strategy in game theory. Informatsionnyye tekhnologii i problemy modelirovaniya slozhnykh system [Information technologies and problems of modeling complex systems]. Irkutsk: IrGUPS, 15, 89-95

About the authors

Lapshin Yevhen Semenovych, Doctor of Technical Sciences (D. Sc.), Senior Researcher, Principal Researcher in the Department of Geodynamic Systems and Vibration Technologies, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine  (IGTM, NAS of Ukraine), Dnipro, Ukraine, Ця електронна адреса захищена від спам-ботів. вам потрібно увімкнути JavaScript, щоб побачити її.

Molchanov Robert Mykolaiovych, Doctor of Medical Sciences, Professor, Professor of the Department of Surgery No. 1, SI "Dnipropetrovsk Medical Academy of the Ministry of Health of Ukraine", Dnipro, Ukraine

Blyuss Borys Oleksandrovych, Doctor of Technical Sciences, Professor, Head of the Department of Geodynamic Systems and Vibration Technologies, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM, NAS of Ukraine), Dnipro, Ukraine, Ця електронна адреса захищена від спам-ботів. вам потрібно увімкнути JavaScript, щоб побачити її.

Osadcha Nataliia Viktorivna, Doctor of Economical Sciences, Senior Researcher in the Department of Geodynamic Systems and Vibration Technologies, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine  (IGTM, NAS of Ukraine), Dnipro, Ukraine