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

Authors: Jitendra Kaushik

Addresses: Symbiosis Institute of Health Science, Symbiosis International (Deemed University), Pune, Maharashtra, India

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.

Keywords: inventory model; trapezoidal demand; deterioration; shortage.

DOI: 10.1504/IJAMS.2026.154553

International Journal of Applied Management Science, 2026 Vol.18 No.2, pp.231 - 250

Received: 25 Apr 2024
Accepted: 26 Nov 2024
Published online: 06 Jul 2026 *

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