Document Type : Primary Research paper
Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Thanjavur – 3, India.
U.G students, Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Thanjavur – 3, India.
In this paper, we formulate a production inventory model for deteriorating items with shortages, transportation cost and lead time using penalty cost in a crisp and fuzzy sense. We have to resolve the optimum time, the optimal order quantity and the optimal total cost using this proposed inventory model. To achieve this type of technique, we have been establishing the trapezoidal fuzzy numbers. The working out of economic order quantity (EOQ) is conceded out during defuzzification process. Graded mean integration method is used for defuzzification process. To exemplify the results of this proposed model, we give an example and sensitivity analysis.