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Applied Computational Intelligence and Soft Computing
Volume 2012 (2012), Article ID 876230, 8 pages
Research Article

The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders

1Åbo Akademi University, IAMSR, 20520 Turku, Finland
2Department of Business, Information Technology and Media, Arcada University of Applied Sciences, 00550 Helsinki, Finland

Received 10 October 2011; Accepted 3 January 2012

Academic Editor: Farid Melgani

Copyright © 2012 Kaj-Mikael Björk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The track of developing Economic Order Quantity (EOQ) models with uncertainties described as fuzzy numbers has been very lucrative. In this paper, a fuzzy Economic Production Quantity (EPQ) model is developed to address a specific problem in a theoretical setting. Not only is the production time finite, but also backorders are allowed. The uncertainties, in the industrial context, come from the fact that the production availability is uncertain as well as the demand. These uncertainties will be handled with fuzzy numbers and the analytical solution to the optimization problem will be obtained. A theoretical example from the process industry is also given to illustrate the new model.