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Multi-Item Fuzzy Inventory Model Involving Three Constraints: A Karush-Kuhn-Tucker Conditions Approach
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American Journal of Operations Research·Volume 01 (2011)·Pages 155–159·Published 30 September 2011·DOI10.4236/ajor.2011.13017
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Abstract
In this paper, a multi-item inventory model with storage space, number of orders and production cost as constraints are developed in both crisp and fuzzy environment. In most of the real world situations the cost parameters, the objective functions and constraints of the decision makers are imprecise in nature. This model is solved with shortages and the unit cost dependent demand is assumed. Hence the cost parameters are imposed here in fuzzy environment. This model has been solved by Kuhn-Tucker conditions method. The results for the model without shortages are obtained as a particular case. The model is illustrated with numerical example.
KeywordsMulti-Item Inventory ModelMembership FunctionKarush-Kuhn-Tucker Condition
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