A SURVEY OF MULTI-ECHELON INVENTORY

Year 1993, Volume: 11 , 115 - 150, 31.12.1993

Armağan Tarım

Abstract

The purpose of this paper is to summarise the more important techniques
used to analyse the multi-echelon inventory control problem. An introductory
section defines the term "multiechelon" and establishes the kinds of
problems involving multi-echelon considerations. Subsequent two sections
provide review of work in multi-echelon inventory theory with respect to
selections from the literature. Deterministic-Stochastic dichotomy, is used as
a distinguishing feature to categorise models. The penultimate section
discusses the recent work on the subject and the last section contains
conclusions and a direction for further research.

Keywords

multi-echelon inventory models

References

• Petrovic, R. , A. Senborn, and M. Vujosevic, Hierarchical Spare Parts Invent01Y Systems, Studies in Production and Engineering Economies, No. 5, Elsevier Science Publishers B.V.: Amsterdam, 1986.
• Schwarz, L.B., (ed.), Multi-Leveì Production/ Inventow Control Systems. Theory and Practice, Studies in the Management Sciences, Vol. 16, NorthHolland: Amsterdam. 1981.
• Clark, a.J., "An Informal Survey of Multi-Echelon Inventory Theory", Naval Research Logistics Quarterly, Vol. 19, 1972, pp. 621-650.
• Evans, G.W. , Il, "A Transportation and Production Model", Naval Research Logistics Quarterly Vol.5, 1958, pp. 137-154,
• Zangwill, Wal., "A Deterministic Multi-Period Production Scheduling Model with Backlogging. Management Science, Vole 13, No. l, 1966, ppd 1.05-119. (6) Zangwill, Wd. , "A Deterministic Multifacility •Production and Inventory Model". Operations
• Zangwill, W.I., "A Backlogging Model and a Multi-Echelon Model of Dynamic Economic Lot Size Production System-A Network Approach", Management Science, Vol. 15, Noa9, 1969, pp. 506-527.
• Veinott. A.F., Jr., 'Extreme Points of Leontief Substitution Systems". Linear Algebra and Its .Applications, Vol. I, 1968, pp. 181-194.
• Veinott.. A.F., dr. "Minimum Concave-Cost Solution of Leontief Substitution Models of MultiFacility Inventory Svstems", Operations Research, Vol. 17, 1969, pp.262-291.
• Veinott., A.F., Jr. "Minimum Concave-Cost Solution of Leontief Substitution Models of Multi-Facility Inventory Svstems", Operations Research. vol. 17, 1969, pp.262-291.
• Love. S-.F., "Dynamic Deterministic Production and Inventory Models with Piecewise Concave Costs", Stanford : University, Department of Operations Research, Tecnical Report No.3, Stañford, Calif, 1968,
• Kalymon, B.A., "A Decomposition Algorithm for Arborescence Inventory Systems", University of California, Western Management Science Institute, Working Paper No. 167, Los Angeles, Calif., 1970.
• Von Lanzenauer, C.H., "A Production Scheduling Model by Bivalent Linear Prog•amming, Management Science, Vol. 17, 1970, pp. 105-111.
• Crowston W.B., and M.H. Wagner, " Dynamic Lot Size Models for MultiStage Assembly Systems", Management Science, Vol.20, No. l, 1973, pp. 1421.
• Lambrecht, M.R., "Capacity Constrained Multi-Facility Dynamic Lot-Size Problem", Unpublished Doctoral Dissertation, Katholieke Universiteit In-wen, 1976.
• Afentakis, P. , B. Gavish and U. Karmarkar, "Computationally Efficient Optimal Solutions to the LotSizing Problem in Multistage Assembly Systems", Management Science, Vol.30, No.2, 1984, pp.222-239.