Abstract
This paper provides valuable evidence concerning the use of small, simple models to represent complex systems. The focus is on linear programming planning models. The starting point is a large, detailed model which serves as a proxy for reality. From the large model, we derive a smaller one through aggregation. Through a process of calibration, we develop estimation models for determining the value of the detailed model objective function value from the aggregate model objective function value and a few additional explanatory variables. This overall procedure proves to be remarkably accurate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bitran, G. R., E. A. Haas and A. C. Hax, “Hierarchical Production Planning: A Two-Stage System,” Operations Research, 29 (1981) 717–743.
Buffa, E. S., and R. K. Sarin, Modern Production / Operations Management, 8th edition, Wiley, New York, 1987.
Dembo, R. and P. Zipkin, “Construction and Evaluation of Compact Refinery Models,” Energy Models and Studies, B. Lev (editor), North-Holland, New York, 1983.
Hax, A. C. and D. Candea, Production and Inventory Management, Prentice-Hall, Englewood Cliffs, NJ., 1984.
Hax, A. C. and H. C. Meal, “Hierarchical Integration of Production Planning and Scheduling,” M. Geisler (editor), TIMS Studies in Management Science, Vol.1, Logistics, North-Holland/American Elsevier, New York, 1975.
Holt, C. C., F. Modigliani, J. F. Muth and H. A. Simon, Planning Production Inventories and Work Force, Prentice Hall, Englewood Cliffs, N.J., 1960.
Kathuria, N., The Predictive Accuracy of Aggregate Planning LP Models, Ph.D. Thesis, UNC-Chapel Hill, Chapel Hill, North Carolina (1988).
Rogers, D. F., R. D. Plante, R. T. Wong and J. R. Evans, “Aggregation Techniques and Methodology in Optimization,” Operations Research, 39 (1991) 553–582.
Wagner, H. M., “Research Portfolio for Inventory Management and Production Planning Systems,” Operations Research, 28 (1980) 445–475.
Wagner, H. M., M. H. Rothkopf, C. J. Thomas, and H. J. Miser, “The Next Decade in Operations Research: Comments on the CONDOR Report,” Operations Research, 37 (1989) 664–672.
Wagner, H. M., V. A. Vargas, N. N. Kathuria, Use of Aggregate Production Planning Models for Estimation, Technical Report No. 1, Kenan-Flagler Business School, UNC-Chapel Hill (1991).
Zipkin, P., Aggregation in Linear Programming, Ph.D. Thesis, Yale University, New Haven, Connecticut (1977).
Zipkin, P., “Bounds on the Effects of Aggregating Variables in Linear Programs,” Operations Research, 28 (1980) 445–476.
Zipkin, P., “Bounds for Row Aggregation in Linear Programming,” Operations Research, 28 (1980) 903–916.
Zipkin, P., personal communication with H.M. Wagner, August 26, 1988.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
Wagner, H.M., Vargas, V.A., Kathuria, N.N. (1993). The Accuracy of Aggregate LP Production Planning Models. In: Sarin, R.K. (eds) Perspectives in Operations Management. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3166-1_19
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3166-1_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6387-3
Online ISBN: 978-1-4615-3166-1
eBook Packages: Springer Book Archive