Using Optimal Policy Surfaces to Analyze Aggregate Inventory Tradeoffs

The marginal cost information needed to implement traditional inventory models is not likely to be available in practice. The most important inventory management issues in practive involve aggregate objectives and constraints while the richest theoretical models deal with single item management. To help resolve these problems, the authors propose that inventory decisions be conceived as policy tradeoffs on a three dimensional response surface showing the optimal relationships among aggregate customer service, workload, and investment. We show that any optimal management decision must result in a point located on the surface. Computational results show that the methodology suggested can make improvements in management policy in four inventories that total more than 78,000 line items.

[1]  Robert Dorfman,et al.  The Theory of Inventory Management. , 1954 .

[2]  John F. Magee,et al.  Production planning and inventory control , 1958 .

[3]  C. Churchman Prediction and optimal decision : philosophical issues of a science of values / C.W. Churchman , 1962 .

[4]  Fred Hanssmann Operations research in production and inventory control , 1962 .

[5]  M. K. Starr,et al.  Inventory control: Theory and practice , 1962 .

[6]  Ernest Koenigsberg,et al.  Scientific Inventory Management , 1963 .

[7]  Harvey J. Everett Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources , 1963 .

[8]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

[9]  Lawrence L. Parker Economical reorder quantities and reorder points with uncertain demand , 1964 .

[10]  P. Thursfield,et al.  Modern Inventory Management , 1965 .

[11]  Raymond P. Lutz,et al.  Decision rules for inventory management , 1967 .

[12]  Douglass J. Wilde,et al.  Foundations of Optimization. , 1967 .

[13]  Robert H. Eagle Optimal inventory decisions under constraints , 1968 .

[14]  R. G. Brown,et al.  Decision rules for equal shortage policies , 1970 .

[15]  D. A. Schrady,et al.  Models for multi‐item continuous review inventory policies subject to constraints , 1971 .

[16]  Patrick Rivett,et al.  Principles of Operations Research , 1972 .

[17]  Gene K. Groff,et al.  Operations management : analysis for decisions , 1972 .

[18]  Richard Edgar Ziegler Criteria for measurement of the cost parameters of an economic order quantity inventory model , 1973 .

[19]  Oliver W. Wight,et al.  Production and inventory management in the computer age , 1974 .

[20]  P. H. Dawson,et al.  CHAPTER II – PRINCIPLES OF OPERATION , 1976 .

[21]  Everette S. Gardner,et al.  Aggregate inventory models : theory and application , 1978 .