МЕТОД ПОШУКУ ЕКСТРЕМУМУМУ БАГАТОВИМІРНИХ ФУНКЦІЙ ПРИ ВИРІШЕННІ ІНЖЕНЕРНИХ ЗАДАЧ ЗБЕРІГАЛЬНИХ КОМБАЙНІВ
Ключові слова:
optimization methods, gradient descent method, stochastic gradient, quasi-Newtonian methods, objective functionАнотація
Ця стаття присвячена аналізу найпоширеніших методів оптимізації, що використовуються в практичних інженерних
задачах знаходження екстремуму багатовимірних функцій та формування на основі виявлених властивостей
рекомендацій щодо вибору найкращого на різних наборах даних. У процесі аналізу було розглянуто різні реалізації
методів градієнтного спуску, імпульсних методів, адаптивних методів та квазіньютонівських методів, узагальнено
переваги та проблеми кожного з методів у їх використанні. Було розроблено комп'ютерну програму,
яка реалізує всі розглянуті методи. Обчислювальний експеримент на трьох функціях показав, що
найефективнішими виявилися методи Розенброка нульового порядку та Пауелла нульового порядку.
Посилання
Astashev V., Krupenin V. 2017. Efficiency of vibration
machines. Proceedings of 16th International
Scientific Conference “Engineering for rural
development”. Jelgava, Latvia, May 24-26, Latvia
University of Agriculture. Faculty of Engineering.
Vol. 16. P. 108-113.
Drga R., Janacova D., Charvatova H. 2016. Simulation of
the PIR detector active function. Proceedings of
th International conference on Circuits, Systems,
Communications and Computers (CSCC 2016),
July 14-17, 2016, E D P Sciences, 17 Ave Du
Hoggar Parc D Activites Coutaboeuf Bp 112, F-
Cedex A, France, 76, UNSP 04036.
Dubbini M., Pezzuolo A., De Giglio M.,
Gattelli M., Curzio L., Covi D., Yezekyan T.,
Marinello F. 2017. Last generation instrument for
agriculture multispectral data collection. CIGR
Journal. Vol. 19. P. 158-163.
Kuzmich I. M., Rogovskii I. L., Titova L. L.,
Nadtochiy O. V. 2021. Research of passage
capacity of combine harvesters depending on
agrobiological state of bread mass. IOP Conference
Series: Earth and Environmental Science. Vol. 677.
P. 052002. https://doi.org/10.1088/1755-1315/677/
/052002.
Luo A. C. J., Guo Y. 2013. Vibro-impact Dynamics.
Berlin: Springer-Verlag: 213 p.
Masek J., Novak P., Jasinskas A. 2017. Evaluation of
combine harvester operation costs in different
working conditions. Proceedings of 16th
International Scientific Conference “Engineering
for rural development”. Jelgava, Latvia, May 24-
, Latvia University of Agriculture. Faculty of
Engineering. Vol. 16. P. 1180-1185.
Nazarenko I., Mishchuk Y., Mishchuk D.,
Ruchynskyi M., Rogovskii I., Mikhailova L.,
Titova L., Berezovyi M., Shatrov R. 2021.
Determiantion of energy characteristics of material
destruction in the crushing chamber of the vibration crusher. Eastern-European Journal of Enterprise
Technologies. Vol. 4(7(112). P. 41–49.
https://doi.org/10.15587/1729-4061.2021. 239292.
Novotny J. 2016. Technical and natural sciences
teaching at engineering faculty of FPTM UJEP.
Proceedings of 15th International Scientific
Conference “Engineering for rural development”.
Jelgava, Latvia, May 23-25, Latvia University of
Agriculture. Faculty of Engineering. Vol. 15. P.
-20.
Palamarchuk I., Rogogvskii I., Titova L., Omelyanov
O. 2021. Experimental evaluation of energy
parameters of volumetric vibroseparation of bulk
feed from grain. Engineering for Rural
Development. Vol. 20. P. 1761-1767.
https://doi.org/10.22616/ ERDev.2021.20.TF386.
Pinzi S., Cubero-Atienza A. J., Dorado M. P. 2016.
Vibro-acoustic analysis procedures for the
evaluation of the sound insulation characteristics
of agricultural machinery. Journal of Sound and
Vibration. Vol. 266 (3). P. 407-441.
Rogovskii I. L., Titova L. L. 2021а. Change of
technical condition and productivity of grain
harvesters depending on term of operation. IOP
Conference Series: Earth and Environmental
Science. Vol. 720. P. 012110.
https://doi.org/10.1088/1755-1315/720/1/012110.
Rogovskii I. L., Titova L. L. 2021b. Design of landing
of assembly machine building units with
circulating load rolling bearing rings. Journal of
Physics: Conference Series. Vol. 1889. P. 042004.
https://doi.org/10.1088/1742-6596/1889/4/042004.
Rogovskii I. L., Titova L. L. 2021c. Modeling of
normativity of criteria of technical level of forage
harvesters combines. IOP Conference Series:
Earth and Environmental Science. Vol. 720.
P. 012109. https://doi.org/ 10.1088/1755-
/720/1/012109.
Rogovskii I. L., Titova L. L. 2021d. Modeling the
weight of criteria for determining the technical
level of agricultural machines. IOP Conference
Series: Earth and Environmental Science.
Vol. 677. P. 022100. https://doi.org/
1088/1755-1315/677/2/022100.
Rogovskii I. L., Titova L. L., Berezova L. V. 2021e.
Conceptual bases of system technology of
designing of logistic schemes of harvesting and
transportation of grain crops. IOP Conference
Series: Earth and Environmental Science.
Vol. 723. P. 032032. https://doi.org/10.1088/1755-
/723/3/032032.
Rogovskii I. L., Titova L. L., Gumenyuk Yu. O.,
Nadtochiy O. V. 2021f. Technological
effectiveness of formation of planting furrow by
working body of passive type of orchard planting
machine. IOP Conference Series: Earth and
Environmental Science. Vol. 839. P. 052055.
https://doi.org/10.1088/1755-1315/839/5/052055.
Rogovskii I. L., Titova L. L., Ohiienko M. M. 2021g.
Research of garden sprayer machines of near-stem
and inter-stem strips of orchards. IOP Conference
Series: Earth and Environmental Science.
Vol. 723. P. 022035. https://doi.org/10.1088/1755-
/723/2/022035.
Rogovskii I. L., Titova L. L., Sivak I. M. 2021h.
Research of machines for mulching near-trunk
strips in perennial fruit plantations. IOP Conference
Series: Earth and Environmental Science. Vol. 723.
P. 042041. https://doi.org/ 10.1088/1755-
/723/4/042041.
Rogovskii I. L., Titova L. L., Solomka O. V. 2021j.
Research of sliding bearings with reverse friction
pair and inlaid liners made of thermoplastic
composite materials. Journal of Physics:
Conference Series. Vol. 1889. P. 042010.
https://doi.org/10.1088/1742-6596/1889/4/04 2010.
Rogovskii I. L. 2020. Model of stochastic process of
restoration of working capacity of agricultural
machine in inertial systems with delay. Machinery
& Energetics. Journal of Rural Production
Research. Kyiv. Ukraine. Vol. 11(3). P. 143-150.
Rogovskii I., Titova L., Novitskii A., Rebenko V. 2019.
Research of vibroacoustic diagnostics of fuel
system of engines of combine harvesters.
Engineering for Rural Development. Vol. 18.
P. 291-298.
Sergejeva N., Aboltins A., Strupule L., Aboltina B. 2018.
Mathematical knowledge in elementary school and
for future engineers. Proceedings of 17th
International Scientific Conference “Engineering
for rural development”. Jelgava, Latvia, May 23-
, 2018, Latvia University of Agriculture. Faculty
of Engineering. Vol. 17. P. 1166-1172.
Titova L. L. 2021. Simulation of transitional processes of
dynamic model of power energy installation of
machines for forestry works. Machinery &
Energetics. Journal of Rural Production Research.
Kyiv. Ukraine. Vol. 12(1). P. 147-154.
Viba J., Lavendelis E. 2006. Algorithm of synthesis of
strongly non-linear mechanical systems. Industrial
Engineering – Innovation as Competitive Edge for
SME, 22 April 2006. Tallinn, Estonia. P. 95-98.
Yata V. K., Tiwari B. C., Ahmad I. 2018. Nanoscience in
food and agriculture: research, industries and
patents. Environmental Chemistry Letters. Vol. 16.
P. 79-84.
Zagurskiy О., Ohiienko M., Rogach S., Pokusa T.,
Titova L., Rogovskii I. 2018. Global supply chain
in context of new model of economic growth.
Conceptual bases and trends for development of
social-economic processes. Monograph. Opole.
Poland. P. 64-74.
