Abstract
We consider the question of generating robust plans for production planning problems under uncertainty. In particular, we present an alternative approach to generate robust solutions for lot-sizing problems with stochastic demand. The proposed approach is dynamic and includes a decision rule that guides the planner. The decision rule parameters are determined so that the number of expected planning adaptations and their magnitudes are under control. The robust approach and its related models are presented together with some computational results to show how it performs compared to other approaches.
Similar content being viewed by others
References
I. Barany T. J. Roy ParticleVan L. A. Wolsey (1984) ArticleTitleUncapacitated lot sizing: the convex hull of solutions Mathematical Programming Study 22 32–43
G. D. Eppen R. K. Martin (1987) ArticleTitleSolving multi-item lot-sizing problems using variable redefinition Operations Research 35 832–848
A. Federgrun M. Tsur (1991) ArticleTitleA simple forward algorithm to solve general dynamic lot-size models with n periods in O(n log n) or O(n) time Management Science 37 909–925
J. Krarup O. Bilde (1977) Plant location, set covering and economic lot sizes An O(mn) algorithm for structured problems L. Collatz (Eds) Optimierung bei Graphentheoretischen und Ganzzahligen Probleme Birkhauser Verlag Basel 155–180
H. M. Markowitz (1987) Mean-variance analyses in portfolio choice and capital markets: Blackwell.
J. M. Mulvey R. J. Vanderbei S. A. Zenios (1995) ArticleTitleRobust optimization of large-scale systems Operations Research 43 IssueID2 264–281
S. Sen J. L. Higle (1999) ArticleTitleAn introductory tutorial on stochastic linear programming models Interfaces 29 IssueID2 33–61
Van Hoesel, C. P. M. (1991) Models and algorithms for single-item lot-sizing problems. Ph.D thesis, : Erasmus University Rotterdam.
H. M. Wagner T. M. Whitin (1958) ArticleTitleDynamic version of the economic lot size model Management Science 5 89–96
G. Zäpfel (1998) ArticleTitleCustomer-order-driven production: an economical concept for responding to demand uncertainty International Journal of Production Economics 56 IssueID57 699–709
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Raa, B., Aghezzaf, E. A robust dynamic planning strategy for lot-sizing problems with stochastic demands. J Intell Manuf 16, 207–213 (2005). https://doi.org/10.1007/s10845-004-5889-3
Issue Date:
DOI: https://doi.org/10.1007/s10845-004-5889-3