Title: Effect of quadratic price-dependent demand with quadratic time-dependent demand in EOQ inventory models for deteriorative items - in fourth order equation

Authors: P. Selvaraju; C.K. Sivashankari

Addresses: RVS College of Engineering and Technology, Coimbatore, India ' RMK Engineering College, Chennai, India

Abstract: This research focuses on the impact of quadratic price-dependent and time-dependent demand in EOQ inventory models for deteriorative products in higher-order equations is examined in this article. Linear, constant, exponential, quadratic, stock dependent, price dependent, and other demand models have been discovered in the literature. In real practice, the price of the item and the time it takes to sell has a significant impact on the demand rate. Three models are developed: Quadratic time-dependent and price-dependent demands are used in the first model. In second model quadratic-time dependent and in the third model quadratic price dependent demands are used. The aim of this study is to identify the optimum cycle time and the optimum quantity that minimises the total cost. Each model has its own set of mathematical models. A sensitivity analysis is performed after solving and studying many numerical examples. Visual Basic 6.0 was used to create the required data.

Keywords: EOQ inventory; quadratic price-dependent demand; quadratic time-dependent demand; integrate; optimality; sensibility analysis.

DOI: 10.1504/IJOR.2025.146111

International Journal of Operational Research, 2025 Vol.53 No.1, pp.35 - 57

Received: 27 Jun 2022
Accepted: 12 Nov 2022
Published online: 07 May 2025 *

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