The Use of Minor Setups in an EPQ Model with Constrained Production Period Length

Authors: Behrouz Afshar Nadjafi

Abstract:

Extensive research has been devoted to economic production quantity (EPQ) problem. However, no attention has been paid to problems where production period length is constrained. In this paper, we address the problem of deciding the optimal production quantity and the number of minor setups within each cycle, in which, production period length is constrained but a minor setup is possible for pass the constraint. A mathematical model is developed and Iterated Local Search (ILS) is proposed to solve this problem. Finally, solution procedure illustrated with a numerical example and results are analyzed.

Keywords: EPQ, Inventory control, minor setup, ILS.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076390

References:

[1] M. Khouja, "The use of minor setups within production cycles to improve product quality and yield," International transactions in operations research, vol. 12(4), pp. 403-416, 2005.
[2] E. L. Porteus, "Optimal lot sizing process quality improvement and setup cost reduction," Operations Research, vol. 34, pp. 137-144, 1986.
[3] M. J. Rosenblat and H. L. Lee, "Economic production cycles with imperfect production processes," IIE Transactions, vol. 18, pp. 48-55, 1986.
[4] R. J. Tersine, "Principles of Inventory and Materials Management," 3rd Ed. New York: North-Holland, 1988.
[5] H. R. Lourenco, O. Martin and T. Stutzle, "A beginner's introduction to iterated local search," In: MIC'2001: proceeding of Meta-heuristics International Conference. Porto, Portugal, 2001, p.1-6.