Inventory trigger control policies developed in terms of control theory

In this article we model standard inventory ordering rules in terms of control systems theory. A differential equation is designed describing the development of a system in which an input signal reaching a predefined level triggers an output. The reorder point of inventory control systems may be interpreted as such a level triggering a replenishment. Systems using this kind of control are frequent in a variety of applications. Apart from inventory, domestic heat and pressure control are but two examples.

[1]  Denis R. Towill,et al.  Common Foundations between Control Engineering and Manufacturing Management. , 1988 .

[2]  Herbert J. Vassian Application of Discrete Variable Servo Theory to Inventory Control , 1955, Oper. Res..

[3]  Joakim Wikner Dynamic Modelling and Analysis of Information Flows in Production-Inventory and Supply Chain Systems , 1994 .

[4]  Robert W. Grubbström,et al.  THE AXSÄTER INTEGRATED PRODUCTION-INVENTORY SYSTEM INTERPRETED IN TERMS OF THE THEORY OF RELATIVELY CLOSED SYSTEMS , 1977 .

[5]  T. Fortmann,et al.  An Introduction to Linear Control Systems , 1977 .

[6]  B. Porter,et al.  Modal control of production-inventory systems , 1972 .

[7]  Keith Tizzard,et al.  Management System Dynamics , 1977 .

[8]  Howard Kunreuther,et al.  Extensions of Bowman's Theory on Managerial Decision-Making , 1969 .

[9]  Denis Royston Towill,et al.  Some features common to inventory system and process controller design , 1982 .

[10]  Arnoldo C. Hax,et al.  Production and inventory management , 1983 .

[11]  Denis Royston Towill,et al.  Dynamic analysis of an inventory and order based production control system , 1982 .

[12]  Graham K. Rand,et al.  Decision Systems for Inventory Management and Production Planning , 1979 .

[13]  H. Simon,et al.  On the Application of Servomechanism Theory in the Study of Production Control , 1952 .

[14]  Thomas Kailath,et al.  Linear Systems , 1980 .

[15]  Sven Axsäter,et al.  Control theory concepts in production and inventory control , 1985 .

[16]  C. C. Holt,et al.  Planning Production, Inventories, and Work Force. , 1962 .

[17]  A. Bradshaw,et al.  Control policies for production-inventory systems with bounded input , 1980 .