Abstract
This chapter extends the flow control approach to the problems with multiple facilities and either single or multiple products characterized by simple structures. It, thus, deals with an intermediate hierarchical level that bridges aggregate production planning and detailed production scheduling characterized by complex product structures. Specifically, this chapter focuses on a typical problem arising in aggregate production planning and master scheduling — balancing materials and capacity requirements under given production and market conditions. The balancing is accomplished by dividing an aggregate material flow into subflows of specific items and allocating them among multiple manufacturing facilities. The goal of both the production plan and master schedule (in some companies it may be difficult to distinguish between them) is to optimally load the facilities when either initial inventory volumes or input inventory flows are predetermined at higher levels of top-down production planning hierarchy. This goal is achieved by tracking demands for products along a planning horizon in a make-to-order environment, or by filling the stocks with required volumes of products by the end of the planning horizon in a make-to-stock environment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Graves S.C. et al. (Eds.), 1993, Handbooks in OR and MS, Elsevier, Amsterdam.
Hax, A.C., 1978, “Aggregate Production Planning” in: Moder, J. and S. Elmaghraby (Eds.) Handbook of Operations Research, Van Nostrand Reinhold, NY.
Hax, A.C. and D. Candea, 1984, Production and Inventory Management, Prentice-Hall, Englewood Cliffs, NJ.
Hillier F.S. and G.J. Lieberman, 1995, Introduction to Operations Research, 6th ed. McGraw Hill, NY.
Holt, C., F. Modigliani, J.F. Muth and H.A. Simon, 1960, Planning Production, Inventories and Work Force, Prentice-Hall, Englewood Cliffs, NJ.
Khmelnitsky, E. and K. Kogan, 1996, “Production Flow Control: Balancing Facilities under Fixed Initial Inventory Conditions”, International Journal ofOperations and Qualitative Management, 2(1), 25–33.
Tersine, R.J., 1985, Production/Operations Management, North-Holland.
Weiss, G., 1997, “An Algorithm for Optimal Draining of Fluid Re-entrant Lines” in Proceedings ofthe ninth INFORMS Applied Probability conference, Cambridge, Mass.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Maimon, O., Khmelnitsky, E., Kogan, K. (1998). Production Planning At Different Levels Of Aggregation. In: Optimal Flow Control in Manufacturing Systems. Applied Optimization, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2834-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2834-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4799-4
Online ISBN: 978-1-4757-2834-7
eBook Packages: Springer Book Archive