A novel approach to an integrated inventory system in a fuzzy context

Abstract

In recent decades, the integration of vendors and buyers in managing inventory has become vital. The perception of inventory costs cannot always be classified as purely static or dynamic. When encountering uncertainty, it is important to consider the fuzzy nature of costs in certain situations. Hence, in this article, we treat the cost components as triangular and trapezoidal fuzzy numbers. Defuzzification is performed using the signed distance method. Employing an algorithmic procedure, the system cost is minimized by determining the optimal values for delivery lot size and total number of deliveries. The illustration of the model includes both a numerical example and a sensitivity analysis.