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Inventory Model in a Fuzzy Environment with Exponential Membership Cost Functions


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1 PG and Research Department of Mathematics, Sri Vasavi College, Erode 638 316, Tamilnadu, India
     

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In this paper, an EOQ Model has been analyzed in a fuzzy environment. Its objective goal, holding cost, shortage cost, set-up cost and storage area are all represented by means of three different combinations of linear, parabolic and exponential membership functions. Fuzzy non-linear programming (FNLP) method with Lagrange multipliers is applied. This method has been illustrated by means of numerical examples. The variations of the results with those of the crisp model have been pointed out. Sensitivity analysis of the model has also been carried out.


Keywords

Fuzzy Non–Linear Programming Methods, Inventory Management, Lagrange Multipliers, Membership Functions, Sensitivity Analysis.
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  • Inventory Model in a Fuzzy Environment with Exponential Membership Cost Functions

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Authors

K. Kadambavanam
PG and Research Department of Mathematics, Sri Vasavi College, Erode 638 316, Tamilnadu, India
K. Punniakrishnan
PG and Research Department of Mathematics, Sri Vasavi College, Erode 638 316, Tamilnadu, India

Abstract


In this paper, an EOQ Model has been analyzed in a fuzzy environment. Its objective goal, holding cost, shortage cost, set-up cost and storage area are all represented by means of three different combinations of linear, parabolic and exponential membership functions. Fuzzy non-linear programming (FNLP) method with Lagrange multipliers is applied. This method has been illustrated by means of numerical examples. The variations of the results with those of the crisp model have been pointed out. Sensitivity analysis of the model has also been carried out.


Keywords


Fuzzy Non–Linear Programming Methods, Inventory Management, Lagrange Multipliers, Membership Functions, Sensitivity Analysis.