An EOQ inventory model for Gompertz deteriorating items with quadratic demand and constant holding cost in a fuzzy environment

In this paper we discussed an economic order quantity inventory model for deteriorating items with time-dependent demand rate. Here the demand is considered as a quadratic function of time and deteriorating items follow a Gompertz distribution deterioration. Stock out is not permitted and holding cost is constant. The deterioration cost, holding cost and the parameters α, β are assumed as a triangular fuzzy numbers. Our goal is to maximize the total profit of inventory optimization by using Pascal triangular method. A few numerical examples illustrate the implementation of the proposed model. Sensitivity analysis is the study of how to divide and allocate the uncertainty in the output of a mathematical model or system to different sources of input uncertainty.