EconPapers    
Economics at your fingertips  
 

Statistical two-level model of the production process

Oleh Pihnastyi

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: synergetic; basic product; macroscopic description; distribution function; engineering-production function; generative function; equations of balanc (search for similar items in EconPapers)
JEL-codes: C02 C15 C25 C44 D24 L23 (search for similar items in EconPapers)
Date: 2011-08-07, Revised 2011-08-07
References: View references in EconPapers View complete reference list from CitEc
Citations:

Published in Contemporary problems of mathematics, mechanics and computing sciences (2011): pp. 312-322

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/95698/1/MPRA_paper_95698.pdf original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:95698

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().

 
Page updated 2025-03-19
Handle: RePEc:pra:mprapa:95698