An Inventory Model For The Deteriorating Item For Trapezoidal Type Demand: a Shortage Resemblance Approach
Jitendra Kaushik · International Journal of Applied Management Science · 2025
A time and price-dependent trapezoidal type demand function is considered in this paper. A continuous rate of demand function is considered for trapezoidal-type demand. The existing study proposed a mathematical model to find the inventory's optimal replenishment points and optimal cycle length. Furthermore, a comparison between shortage and without shortage revealed a tremendous shortage effect over profit per unit of inventory. The numerical examples, 3-D Graphs, Hessian Matrix and Mathematical Theorem proved the existence of the study. The current study assists retailers in improving their per-unit profits through the proposed model and managing unexpected risk scenarios using the sensitivity analysis approach. It provides a decision analysis framework for inventory managers based on the suggested managerial insights.