Research on stability region for a type of production inventory control system

Abstract

This paper focus on the stability analysis of the Automatic pipeline, variable inventory and order based production control system. Traditionally, dynamics of production inventory control system has been studied with transfer functions in frequency domain and the stability analysis is usually based on a fixed production delay. In this paper, state space representations are derived directly by a group of difference equations. The linear system theory is used to determine the stability region. The most significant point is that the region is independent on the production delay. Furthermore, two commonly used production ordering strategies are analyzed by the given region. © 2009 Springer Berlin Heidelberg.