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An inventory model for the deteriorating item for trapezoidal type demand: a shortage resemblance approach

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  • Jitendra Kaushik

Abstract

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.

Suggested Citation

  • Jitendra Kaushik, 2026. "An inventory model for the deteriorating item for trapezoidal type demand: a shortage resemblance approach," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 18(2), pages 231-250.
    • Handle: RePEc:ids:injams:v:18:y:2026:i:2:p:231-250
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