Published December 1, 2014 | Version v1
Journal article Open

Кинетическая теория колебаний параметров поточной линии

  • 1. National Technical University "Kharkov Polytechnic Institute"
  • 2. Karazin Kharkiv National University

Description

Рассмотрена общая задача о развитии начального возмущения потоковых параметров синхронизированной производственной линии. Записано кинетическое уравнение технологического процесса. Получено дисперсионное уравнение и исследованы собственные колебания потоковых параметров производственной линии. Определены условия, выполнение которых обеспечивает затухание колебаний потоковых параметров.

 

The general task about the development of initial indignation of stream parameters of the synchronized production line is considered. The kinetic equation of the technological process is written down. The dispersive equation is received and own fluctuations of stream parameters of the production line are investigated. Conditions of attenuation of fluctuations of stream parameters are defined.

 

Files

04_14-12-06.pdf

Files (347.7 kB)

Name Size Download all
md5:a9971a5b27613487d312d0a720406ab1
347.7 kB Preview Download

Additional details

Related works

Is documented by
10.15407/dopovidi2014.12.036 (DOI)

References

  • Gross D. Fundamentals of Queueing Theory. / D.Gross, C.M.Harris.–New York, 1974.–P. 490
  • Harrison J. Brownian Motion and Stochastic Flow Systems. / J. Harrison. – New York, 1995. – P. 142.
  • Ramadge P. The control of discrete event systems "IEEE Proc.". / P. Ramadge, W. Wonham. – New York, 1989. – vol. 77, є1. – P. 81 – 98.
  • Berg R. Partial differential equations in modelling and control of manufacturing systems/ R. Berg. – Netherlands, Eindhoven Univ. Technol., 2004. – P. 157.
  • Armbruster D. The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations: Decision Policies for Production Networks. / D. Armbruster, K.G. Kempf – Springer Verlag, 2012. – P. 289 – 303.
  • Lefeber E. Modeling, Validation and Control of Manufacturing Systems. / E.Lefeber, R.Berg, J.Rooda – Boston, Massachusetts, 2004. – P. 4583 – 4588.
  • Berg R. Modelling and Control of a Manufacturing Flow Line using Partial Differential Equations. IEEE Transactions on Control Systems Technology. / R.Berg, E.Lefeber, J.Rooda– Boston, 2008. – P. 130 – 136.
  • Armbruster D. Continuous models for production flows. In Proceedings of the 2004 American Control Conference. / D.Armbruster, C.Ringhofer, T- J. Jo – Boston, MA, USA, 2004. – P. 4589 – 4594
  • Пигнастый О.М. Статистическая теория производственных систем. - Х.: Изд. ХНУ им.Каразина, 2007. - 388 с
  • Armbruster D. Kinetic and fluid model hierarchies for supply chains supporting policy attributes. Bulletin of the Institute of Mathematics. / D.Armbruster, D.Marthaler, C.Ringhofer – Academica Sinica 66, 2006. – P. 896 – 920
  • Zhang L. System-theoretic properties of Production Lines. A dissertation submitted the degree of Doctor of Philosophy (Electrical Engineering: Systems). / L.Zhang– Michigan, 2009. – P. 289.
  • Armbruster D. A model for the dynamics of large queuing networks and supply chains. / D.Armbruster, P.Degond, C.Ringhofer –Journal on Applied Mathematics 83, 2006. – P. 896–920.
  • Сборник задач по теории аналитических функций. / [Евграфов М.А., Бежанов К.А., Сидоров Ю.В., Федорюк М.В, Шабунин М.И.]. – М.: Наука, 1972. – C. 416
  • Tian F. An iterative approach to item-level tactical production and inventory planning. / F.Tian, S.Willems, K.Kempf –International Journal of Production Economics, 2011. – vol. 133. – P. 439 – 450