Fuzzy Eoq Model with Shortages Using Kuhns-Tucker Conditions
P.Vasanthi1, S.Ranganayaki2, R.Kasthuri3
1Dr.P.Vasanthi, Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, India.
2Dr. S. Ranganayaki, Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, India.
3Dr. R. Kasthuri, Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, India.
Manuscript received on July 20, 2019. | Revised Manuscript received on August 10, 2019. | Manuscript published on August 30, 2019. | PP: 822-827 | Volume-8 Issue-6, August 2019. | Retrieval Number: F8026088619/2019©BEIESP | DOI: 10.35940/ijeat.F8026.088619
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Abstract: The work involves purchase inventory model with shortages under fuzzy environment. An EOQ model is formulated in which the input parameters like order cost, demand rate, carrying cost and penalty cost and the decision variables like the maximum invsentory level and the lot size are fuzzified using triangular fuzzy membership function. An optimum solution of the model is arrived by using Kuhn-Tucker conditions. The crisp values of the proposed model is obtained by defuzzifying the assumed model using Graded mean Integration (GMI) method. Finally the solutions are tabulated and an analsysis of the crisp and fuzzy values of the total cost has been done in this paper.
Keywords: Defuzzification, Graded Mean Integration, Inventory model , Kuhn-Tucker conditions, Triangular fuzzy numbers.