The information controlling model transport system during transient conditions

Pihnastyi, Oleh and Kozhevnikov, Georgii and Bondarenko, Tetiana (2019): The information controlling model transport system during transient conditions. Published in: Processing of IEEE International Scientific-Practical Conference Problems of Infocommunications, Science and Technology (11 October 2019): pp. 197-201.

Abstract

This article is devoted to designing an information management system for the conveyor line of mining enterprises. The analytical design method for the transient mode of the stepped speed control system of the conveyor line was developed. The partial differential equation was used in constructing the conveyor line model. The description of the production system is fulfilled in the single step approximation. A decision was obtained which determines the state of the parameters of the production line for a technological position specified as a function of time. Has been determined the length of the transition period during which the initial condition for the distribution of labour objects along the conveyor affects the parameters of the state of the conveyor line. The method for calculating the current parameters of a conveyor line with the use of partial differential equations allows the design of control systems for production lines of conveyor type for transient modes. The originality of the results obtained is to improve the PDE-models of the conveyor-type production systems used to design highly efficient production control systems operating in transient modes.

• Item Type: MPRA Paper
• Language: English
• Keywords: conveyor; PDE-model; production cycle; mass production; work in progress; balance equations; quasi-static process; stochastic proces
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General; C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C25 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions ; Probabilities; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C44 - Operations Research ; Statistical Decision Theory; D - Microeconomics > D2 - Production and Organizations > D24 - Production ; Cost ; Capital ; Capital, Total Factor, and Multifactor Productivity ; Capacity

References

1. DIN 22101:2002-08. Continous conveyors. Belt conveyors for loose bulk materials. Basics for calculation and dimensioning., Normenausschuss Bergbau (FABERG) im Deutsches Institut fur Normung e.V. Normenausschuss Maschinenbau (NAM) im DIN (2002).

2. SIMINE for conveyors. Siemens. (2017). https://new.siemens.com/global/en/markets/mining-industry/transport/conveyor-systems.html

3. Semenchenko А.К. The impact of uneven loading of a belt conveyor on the loading of drive motors and energy consumption in transportation // А. Semenchenko, M. Stadnik, P. Belitsky, D. Semenchenko, O. Stepanenko, // Eastern-European Journal of Eenterprise Technologies. Kharkiv: Scientific-Production Enterprise "TECHNOLOGICAL CENTER". - 2016. – vol. 4. –№ 1 (82). - P. 17 – 22. https://doi.org/10.15587/1729-4061.2016.75936

4. Kondrakhin, V. P. Statistical Analysis of Mine Belt Conveyor Operating Parameters [Text] / V. Kondrakhin, N. Stadnik, P. Belitsky // Scientific works DonNTU. Electromechanical series. — 2013. — № 2(26). — P. 140–150. http://nbuv.gov.ua/UJRN/Npdntu_gir_2013_2_15

5. Prokuda, V.N. Research and evaluation of cargo flow on the main conveyor transport of the PSP "Shakhta Pavlogradskaya" PJSC DTEK Pavlogradugol / V.N. Prokuda, Y.O. Mishanskiy, S.M. Procenko // Mountain Electromechanics. – 2012. – № 88. – P. 107-111.

6. Zalika, M. (2017). Belt conveyors with regulated speed / M. Zalika, M.Kolek, S. Tytko http://www.bartec.kz/files/mining/for-conveyance.pdf.

7. Pihnastyi O.M. About a new class of dynamic models of production lines of production systems / O.M. Pihnastyi // Scientific bulletins of Belgorod State University. Belgorod: BSU. - 2014. - No. 31/1. - P. 147-157 https://doi.org/10.13140/RG.2.2.30384.05120

8. Lefeber E. Modeling, Validation and Control of Manufacturing Systems. / E.Lefeber, R.A.Berg, J.E. Rooda –– Proceeding of the 2004 American Control Conference, Massachusetts, 2004. – P. 4583 – 4588.

9. Pihnastyi OM. Overview of models of controlled production processes of production line production lines / О.М. Pihnastyi // Scientific bulletins of the Belgorod State University. Belgorod: BSU. - 2015. - No. 34/1. P.137-152.

10. Pihnastyi OM Analysis of Models of Transient Controlled Production Processes / O.M. Pihnastyi / Scientific Bulletins of the Belgorod State University. Belgorod: BSU. - 2015. - No. 35/1. - P. 133-144 (In Russ.) http://repository.kpi.kharkov.ua/handle/KhPI-Press/40275

11. Lefeber E. Aggregate modelling of manufacturing systems. Planning Production and Inventories in the Extended Enterprise: A State of the Art Handbook. International Series in Operations Research and Management Science. / [E.Lefeber, D.Armbruster, eds. K.Kempf P. Keskinocak, R.Uzsoy]. – Springer-Verlag, New York, 2010. – Vol. 151. – P. 509 – 536.

12. Pihnastyi О.M. The model of the production line of the conveyor type at a constant speed moving subjects of labor / Pihnastyi О.M., Khodusov V.D. // Bulletin of V. Karazin Kharkiv National University, – 2016. –Series «Mathematical Modelling. Information Technology. Automated Control Systems», Issue 32. – P. 60-74

13. Pihnastyi O.M. Stochastic description of economic-production systems with mass production / V.P.Demutskiy, V.S.Pihnastyi , O.M.Pihnastyi // Reports of the National Academy of Sciences of Ukraine. - Kyiv: PH “Akademperiodyka” . - 2005. - № 7. - P. 66-71. doi.org/10.13140/RG.2.2.31202.32968

14. Pihnastyi O.M. Statistical theory of control systems of the flow production. / O.M. Pihnastyi LAP LAMBERT Academic Publishing. ¬–2018. – 436 с. –ISBN: 978-613-9-95512-1

15. Pihnastyi O. M. The task of optimal operational control of macroparameters of a production system with mass production / О. М. Pihnastyi // Reports of the National Academy of Sciences of Ukraine. - Kyiv: PH “Akademperiodyka”. - 2006. - №5 - P. 79-85. – http://archive.kpi.kharkov.ua/View/57953/

16. Pihnastyi O. M. Tasks of the program control of the parameters of the current line using overtime work //О. М. Pihnastyi, V. Y. Zaruba // Information Technologies in Management: Proceedings of the 5th Russian Multiconference on Management Problems (ITU-2012), (St. Petersburg, 09-11 oktober 2012). - St. Petersburg: CRI "Electrical appliance". 2012. - P. 107-114.

17. Pihnastyi O. M. Calculation of the production cycle using the statistical theory of production and technical systems / О. М Pihnastyi. V. D. Khodusov // Reports of the National Academy of Sciences of Ukraine. - Kyiv: PH “Akademperiodyka”. -2009. –№12. –P. 38-44. doi.org/10.13140/RG.2.2.36267.54562

18. Ageyev D.V. Information streams modeling in multiservice network NGN for parametrical synthesis problem solving / D.V. Ageyev, A.N. Kopyliev // Radio electronics, informatics, control.-2010. -- №2 - P. 48-52.

19. Norros I. A storage model with self-similar input / I. Norros // Queueing Systems, 16:387--396, 1994. http://citeseer.ist.psu.edu/norros94storage.html

20. Bo Du , Xiuguo Lian and Xiwang Cheng. Partial differential equation modeling with Dirichlet boundary conditions on social networks. Boundary Value Problems 2018(1):50 https://doi.org/10.1186/s13661-018-0964-4