Issue: 2012/Vol.22/No.2, Pages 5-13
A QUANTITATIVE MANAGEMENT SUPPORT MODEL OF A CERTAIN PRODUCTION-SUPPLY SYSTEM - BOUNDARY CONDITIONS
Cite as: T. Galanc, W. Kołwzan, J. Pieronek. A quantitative management support model of a certain production-supply system - boundary conditions. Operations Research and Decisions 2012: 22(2), 5-13. DOI 10.5277/ord120201
The paper is dedicated to constructing a method for the probabilistic analysis of the functioning a certain production-supply system. Previously a set of partial differential equations has been derived satisfied by the joint density function of the state of a three-dimensional process characterizing the functioning of the system. The operation of the system at the boundaries of the stock levels is analyzed. Two sets of differential equations have been derived, one describing the operation of the system when the stock level is zero and one describing the operation of the system when the stocks are full.
Keywords: production-supply system, process, boundary state, system of differential equations