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

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 fin...

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Main Author: Kaj-Mikael Björk
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Applied Computational Intelligence and Soft Computing
Online Access:http://dx.doi.org/10.1155/2012/876230
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author Kaj-Mikael Björk
author_facet Kaj-Mikael Björk
author_sort Kaj-Mikael Björk
collection DOAJ
description 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.
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spelling doaj-art-b0740607c3fb4049a9dc8cbfc30dedab2025-02-03T06:06:05ZengWileyApplied Computational Intelligence and Soft Computing1687-97241687-97322012-01-01201210.1155/2012/876230876230The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and BackordersKaj-Mikael Björk0Åbo Akademi University, IAMSR, 20520 Turku, FinlandThe 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.http://dx.doi.org/10.1155/2012/876230
spellingShingle Kaj-Mikael Björk
The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
Applied Computational Intelligence and Soft Computing
title The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
title_full The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
title_fullStr The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
title_full_unstemmed The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
title_short The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders
title_sort fuzzy economic order quantity problem with a finite production rate and backorders
url http://dx.doi.org/10.1155/2012/876230
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AT kajmikaelbjork fuzzyeconomicorderquantityproblemwithafiniteproductionrateandbackorders