Optimized Three-Stage EPQ Model Incorporating Time-Dependent Deterioration and Trapezoidal Demand Dynamics

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DOI: https://doi.org/10.28924/2291-8639-23-2025-39
Published: Feb 14, 2025
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R. Suvetha, K. Rangarajan, P. Rajadurai, M. Kaviyarasu, Mohammad Alqahtani, Optimized Three-Stage EPQ Model Incorporating Time-Dependent Deterioration and Trapezoidal Demand Dynamics, Int. J. Anal. Appl., 23 (2025), 39.

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R. Suvetha, K. Rangarajan, P. Rajadurai, M. Kaviyarasu, Mohammad Alqahtani

Abstract

In the world of economic evolution, world economics depends on the manufacturing industries for their source of income. Besides this, all manufacturing industries aim to achieve maximum profit with minimum cost. An optimal three-stage economic production quantity model with time-dependent deterioration and trapezoidal and triangular demands is described in this paper. Shortages are not allowed; all cost values depend on time, and demand depends on trapezoidal and triangular demand. However, trapezoidal demand is described mainly in this paper. Practically, many products like automobiles, electronic devices, vegetables, biomedicines, fruits, fancy products, dairy products, etc. exhibit trapezoidal demand. A direct inverse relationship between the trapezoidal demand and production rate describes the demand rate. This study intends to delight consumers and reduce total costs. Our conclusions are illustrated using numerical examples, extensive prediction with the help of MATLAB software R2021b, and sensitivity analysis for all parameters.

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