Fuzzy deteriorating inventory model with ramp type demand and constant holding cost

The primary aim of this work is to develop policies that minimize the cost in both crisp and fuzzy modeling. Our study focuses on defuzzifying the total cost using the signed distance method and comparing it with the crisp model. In this work an inventory model is presented that incorporates fuzzy ramp-type demand and constant holding cost while considering the impact of deterioration as a linearly increasing function of time. Ramp type demand is commonly observed in various business contexts. The primary objective is to establish inventory policies that minimize the overall cost of the model with fuzzy implications. The demand rates and deterioration are assumed to be triangular fuzzy numbers. The proposed paper also includes a numerical example that showcases both crisp and fuzzy models. Furthermore, a sensitivity analysis is conducted to illustrate the effect of parameter changes. The results demonstrate that the total cost in the fuzzy model is lower than that of the crisp model. It is also seen that in fuzzy model, the total cost per unit is highly sensitive to changes in deterioration parameter, and fairly sensitive to changes in the slope of the ramp. Additionally, the total cost per unit in the fuzzy model is more sensitive than in the crisp model.