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Calculation of discrete states probability of the system with four units of harvesting machines

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EN
The model example is considered. In particular, the system composed of four units of harvesting techniques is considered. The states of the corresponding system are being analyzed. The probability of state i is the probability of the fact that the system will be in the state Si in the instant t. The state probabilities can be found as time functions. For this the system of differential equations with unknown functions is obtained. The intensities of events flow appear in the system. They cause the rejection of unit i of harvesting machines and the intensities of events flow after “finishing of repairing” of unit i of harvesting techniques. The intensities of rejections as time function are considered. The system is solved using numerical methods. The probabilities of finding the system in the discrete states are calculated. The tabulated solution functions and their graphs are given. It is shown how the probabilities of states depending on time change.
Twórcy
autor
  • Lviv National Agrarian University
autor
  • Lviv National Agrarian University
Bibliografia
  • 1. Sydorchuk O. 2001. A simulation model of a combine harverster during the season / O. Sydorchuk, V. Tymochko, E. Tsip // Visnyk LNAU: ahgroinzhenerni research. – №5.-. 17-26. (in Ukraine).
  • 2. Tymochko V. 2009. A model of display of project of a harvesting crops in the agricultural enterprise / V. Tymochko // Visnyk LNAU: ahgroinzhenerni research. – №13. – 43-51. (in Ukraine).
  • 3. Voitiuk D.G. 2011. Porivnialnii analiz pokaznykiv efektyvnosti roboty zernozbyralnyh kombainiv / D.G. Voitiuk, S.V. Smolinskyi, A.V. Yamkov // Zbirnyk naukovyh prats “Techniko-technolohichni aspekty rozvytku I vyprobovuvannia novoi tehniky i technologii dlia silskoho hospodarstva Ukrainy” – Vyp. 15 (29). – Doslidnytske. – 100-107. (in Ukraine).
  • 4. Dumenko K. 2012. Design of process of providing of reliability of combine harvesters / K. Dumenko, E. Shevchenko // MOTROL. MOTORYZACJA I ENERGETYKA ROLNICTWA. – Tom 14. № 2, Lublin, 51-56. (in Poland).
  • 5. Smolinskyi S. 2012. Tehnolohicheskiie i tehnicheskiie predposylky povysheniia efektyvnosti roboty zernouborochnoho kombaina / S. Smolinsky // MOTROL. MOTORYZACJA I ENERGETYKA ROLNICTWA. – Tom 14. № 3, Lublin, 64-68. (in Poland).
  • 6. Ventsel E.S. 2001. Research of operations / E.S. Ventsel – M.: Vysshaya shkola, – 208. (in Ukraine).
  • 7. Kovalchyk Yu. 2011. Vykorystannia vypadkovyh markivskych protsesiv v upravlinni proektamy zbyrannia silskohospodarskoj produktsii / Yu. Kovalchyk, S. Kovalyshyn, V. Tymochko // Shidno-Evropeyskyi jurnal peredovyh tehnologii. – №1. – 57-59. (in Ukraine).
  • 8. Kovalchyk, Y. 2011. Vypadkovi markivski protsesy v matematychnyh modeliah upravlinnya proektamy budivnytstva obiektiv neruhomosti v systemi iz troh odynyts budivelnoi tehniky / Yu. Kovalchyk, O. Govda // Visnyk LNAU: arhitektura i silskohospodarske budivnytstvo. – №12. – 17-24. (in Ukraine).
  • 9. Kovalchyk, Y. 2012. Upravlinnia proektamy zbyrannia produktsii iz stohastychnym modeliuvanniam systemy troh obectiv / Yu.Kovalchyk, O. Govda // Eastern-European journal of enterprise technologies – 1/10 (55). – 17-24. (in Ukraine).
  • 10. Kovalchyk, Yu. 2012. Vypadkovi markivski protsesy v matematychnyh modeliah upravlinnia proektamy zbyrannia vrojaiu v systemi z chotyrma odynytsiamy silskohospodarskoj tehniky / Yu.Kovalchyk, O. Govda, V. Rabyk, L. Shpak // Materialy mijnarodnoho naukovo-praktychnoho forumu “Teoretychni osnovy i praktychni aspekty vycorystannia resursooschadnyh tehnologii dlia pidvyschennia efectyvnosti ahropromyslovoho vyrobnytstva i rozvytku silskyh terytorii”, 18-21.09. – Lviv: LNAU. – 528-532. (in Ukraine).
  • 11. Kovalchyk, Yu. 2013. The calculation of discrete states probability of physical system with three objects configuration / Yu.Kovalchyk, O. Govda // Eastern-European journal of enterprise technologies – 1/10 (61) p.3. – 164-166. (in Ukraine).
  • 12. Pogorelets A.N. 2003. Zernozbyralni kombainy / A.N. Pogorelets, G.I. Gyvolup. – K., Ukrainskyi tsentr duhovnoi kultury. – 204. (in Ukraine).
  • 13. Bogenko V.O. 2009. Silskohospodarski mashyny ta ich vykorystannia / V.O. Bogenko // Navchalnyi posibnyk. – Kiev, “Agrarna osvita”. – 420.
  • 14. Sydorchuk L. 2008. Identyfikatsiia konfiguratsii parku kombainiv u proektah system tsentralizovanoho zbyrannia rannih zernovyh kultur // L. Sydorchuk // avtoreferat dysertatsii na zdobuttia naukovoho stupenia k.t.n. – Lviv, – 18. (in Ukraine).
  • 15. Vasilevskyi O.M. 2010. Normuvannia pokaznykiv nadiinosti tehnichnyh zasobiv / O.M. Vasilevskyi, V.O. Podzarenko – Vinnytsya : VNTU. – 129. (in Ukraine).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e5a57330-cc1d-47f3-b1c8-4803e5b1e1b0
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