Optimal policies for inventory model with shortages, time-varying holding and ordering costs in trapezoidal fuzzy environment

This paper proposes the optimal policies for a fuzzy inventory model considering holding cost and ordering as continuous functions of time. Shortages are allowed partially backlogged. The demand rate is assumed in such to be linearly dependent on time during on-hand inventory, while shortage period, it remains constant. problem formulated crisp environment. Considering rate, trapezoidal numbers, proposed transformed into model. For this model, signed distance method defuzzification applied determine average total (ATC) objective optimize ATC order quantity. One solved example provided show applicability convexity function verified with help 3D-graph.