Abstract
This paper addresses a so-called assemble-to-order environment. There are a number of end items each of which requires an assembly of several components. Some of the components are unique to specific end items while others are common to two or more final products. Components must, due to their long leadtimes, be ordered prior to knowing the end item demand levels, but final assemblies can be quickly completed after knowing the demands.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Baker K: Safety Stocks and Component Commonality, Operations Management, Vol 6, No 1, 1985, pp 13–22
Baker K, Magazine M and Nuttle H: The Effect of Commonality on Safety Stock in a Simple Inventory Model, Management Science, Vol 32, No 8, 1986, pp 982–988
Benders J F: Partioning Procedures for Solving Mixed-Variables Programming Problems, Numerische Mathematik, Vol 4, 1962, pp 238–252
Bjornestad S, Hallefjord A and Jornsten K: Discrete Optimization under Uncertainty: The Scenario and Policy Aggregation Technique, WP 89/06, Centre for Petroleum Economics, Chr. Michelsen Institute, Bergen, 1989
Collier D A: Aggregate Safety Stock Levels and Component Part Commonality, Management Science, Vol 28, No 1, 1982, pp 1296–1303
Committee On the Next Decade in Operations Research (CONDOR): Operations Research: The Next Decade, Operations Research, Vol 36, No 4, July–August 1988, pp. 619–637
Fisher M: The Lagrangean Relaxation Method for Solving Integer Programming Problems, Management Science, Vol 27, No 1, 1981, pp 1–18
Fisher M: An Applications Oriented Guide to Lagrangean Relaxation, Interfaces, Vol 15, No 2, 1985, pp 10–21.
Geoffrion A M: Lagrange Relaxation for Integer Programming, Mathematical Programming Study 2, 1974, pp 82–114.
Gerchak Y and Henig M: An Inventory Model with Component Commonality, Operations Research Letters, Vol 5, 1986, pp 157–160
Gerchak Y and Henig M: Component Commonality in Assemble-to-Order Systems: Models and Properties, Naval Research Logistics, Vol 36, 1989, pp 61–68
Gerchak Y, Magazine M and Gamble B: Component Commonality with Service Level Requirements, Management Science, Vol 34, No 6, 1988, pp 753–760
Gutierrez G and Hausman W: Optimal and Approximate Dynamic Rationing Policies in an Assemble-to-Order System, The University of Texas at Austin and Stanford University, 1989.
Jonsson H and Silver E: Optimal and Heuristic Solutions for a Simple Common Component Inventory Problem, Engineering Costs and Production Economics, Vol 16, 1989a, pp 257–267
Jonsson H and Silver E: Common Component Inventory Problems with a Budget Constraint: Heuristics and Upper Bounds, Engineering Costs and Production Economics, Vol 18, 1989b, pp 71–81
Jönsson H, Jörnsten K and Silver E: Application of the Scenario Aggregattion Algorithm to a Two-Stage, Stochastic/ Common Component, Inventory Problem with a Budget Constraint, Dept of Business Administration, Gothenburg School of Economics, Working Paper, 1990
Kall P: Stochastic Linear Programming, Springer-Verlag, Berlin, 1976
Lasdon L: Optimization Theory for Large Scale Systems, MacMillan Publishing, 1970
McClain J O, Maxwell W L, Muckstadt J A, Thomas L J and Weiss E N: Comment on ‘Aggregate Safety Stock Levels and Component Part Commonality’, Management Science, Vol 30, No 6, 1984, pp 772–773
Mulvey J and Vladimirou H: Solving Multistage Stochastic Networks: An Application of Scenario Aggregation, Report SOR-88-1, Dept of Civil Engineering and Operations Research, School of Engineering and Applied Science, Princeton University, 1988a
Mulvey J and Vladimirou H: Stochastic Network Optimization Models for Investment Planning, Report SOR-88-2, Dept of Civil Engineering and Operations Research, School of Engineering and Applied Science, Princeton University, 1988b
Mulvey J and Vladimirou H: Evaluation of a Distributed Hedging Algorithm for Stochastic Network Programming, Report SOR-88-14, Dept of Civil Engineering and Operations Research, School of Engineering and Applied Science, Princeton University, 1988c
Rockafellar R T and Wets R J-B: Scenarios and Policy Aggregation in Optimization under Uncertainty, WP-87-119, IIASA, Laxenburg, Austria, 1987
van Donselaar K and Wijngaard J: Commonality and Safety Stocks, Engineering Costs and Production Economics, Vol 12, 1986, pp 197–204
Wemmerlöv U: Assemble-to-Order Manufacturing: Implications for Materials Planning, Journal of Operations Management, Vol 4, 1984, pp 347–368
Wets R J-B: Stochastic Programming: Solution Techniques and Approximation Schemes, in Bachem A, Grötschel M and Korte B, Mathematical Programming: The State of the Art, Springer-Verlag, Bonn, 1982
Wets R J-B: The Aggregation Principle in Scenario Analysis and Stochastic Optimization, in Wallace S W (ed), Algorithms and Model Formulations in Mathematical Programming, Springer-Verlag, Berlin, 1989
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Jönsson, H., Silver, E. (1991). On the Commonality Problem in Multi-Stage Inventory Control Systems. In: Fandel, G., Zäpfel, G. (eds) Modern Production Concepts. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76401-1_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-76401-1_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76403-5
Online ISBN: 978-3-642-76401-1
eBook Packages: Springer Book Archive