Statistical two-level model of the production process
Creators: name: Pihnastyi, Oleh
Publisher: name: Zenodo
Year: 2011
Subjects: PDE-модель
производственная линия
незавершенное производство
системы управления производством
уравнение состояния
массовое производство
synergetic
PDE-model production line
дискретно-событийная, модель
теория массового обслуживания
модель жидкости
Clearing– функция
квазистатический процесс
переходный процесс
стохастический процесс
work in progress
production line
mass production
balance equations
management system
balance equations of the production line
equation of state
discrete-event model
queuing theory

description: The mathematical model of economical-manufacturing systems with mass production output was constructed. The state of any production system at any time moment is usually given as a point in two-dimensional phase space. The distribution function for the base product is input, and the equation, being analogous to the kinetic equation in Physics, is put down. Both the engineering-production and the generative functions were determined. The closed system of equations for the distribution function moment was put down in the zero approximation. For the closed system of equations of the manufacturing system’s macroscopic state was obtained. The conditions of the manufacturing systems stable operating were written down. The connection between the surplus and the pace of base products motion lengthwise the technological chain was shown. The manufacturing process’ disturbed state system of equations for the particular case of the stability theory (the case of one zero roots of the system’s characteristic equation) was considered.
description: {"references": ["1.\tWilson A.J. Entropical Methods Of Complicated Systems Modelling: Translation from English.-M.: Science, 1978 \u2013 248p.", "2.\tPritkin B.V. Technical-Economical Analysis Of Manufacturing.-M.: JUNITI \u2013 DANA, 2000. - 399p.", "3.\tDemutsky V.P. , Pihnastaya V.S., Pihnastyi O.M. Theory Of Industrial Works. .- Kh.: KhNU , 2003. - 272p.", "4.\tKlimontovitch. Y.L. Statistical Physics.-M.: Science, 1982. - 608p.", "5.\tForrester J. Fundamentals Of The Works Cybernetics.-M.: Progress, 1961. \u2013 341p.", "6.\tPihnastyi O.M. Distinctive numbers of production systems functioning description / \u041e.\u041c. Pihnastyi // Problems of Atomic science and technology. - Kharkov: KIPT. - 2007. - \u21163 - P. 322-325.", "7.\tPihnastyi O.M. To the question of similarity of technological processes of production and technical systems / NA Azarenkov, OM Pignastiy, VD Khodusov // Reports of the National Academy of Sciences of Ukraine. - Kiev: Akademperiodika Publishing House. - 2011. \u2013\u21162\u2013 P. 29-35. doi.org/10.13140/RG.2.2.13585.53600", "8.\tPihnastyi O.M. The use of statistical physics methods for the study of economic production systems with mass production / V.P. Demutsky, O.M. Pihnastyi, M.N. Azarenkova // Bulletin of the Kharkiv National University. - Kharkiv: KhNU. -2005. - \u2116 710. vol. 2, - P. 128-134", "9.\tPihnastyi O.M. The target function of production system with mass production / V.P. Demutsky, O.M. Pihnastyi, V.D. Khodusov, M.N. Azarenkov\u0430 // - Visnyk of Kharkiv National University. - Kharkiv: KhNU. - 2006. - N746. - P.95-103."]}