Title: An EOQ model for deteriorating item with ramp type linear time dependent demand and time dependent partial backorder

Authors: Prokash Mondal; Asim Kumar Das; Tapan Kumar Roy; Surajit Naskar

Addresses: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India ' Department of Mathematics, Government General Degree College, Chapra, Nadia-741123, West Bengal, India ' Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India ' Department of Mathematics, Barasat PCS Government School, North 24 Parganas-700124, West Bengal, India

Abstract: In this present article we have developed an economic order quantity (EOQ) model over a finite time horizon for an item with a liner time dependent demand rate with constant rate of deterioration in consideration of shortages (SFI policy) in inventory under permissible delay in payments and partial backlogging. Studied witnessed that the demand always play a pivot role in the inventory model, due to COVID crisis there is a shift in the paradigm on the demand characteristics. This model studied the shifting demand rate after stock out period. Mathematical models are also developed under two distinct circumstances, i.e., case 1: the trade credit is before the stock out period and case 2: the trade credit scheduled after stock out period. The results are illustrated with numerically and graphically. The sensitivity analysis of key parameters of the optimal solution has also been conducted to study the effect of the parameter.

Keywords: inventory; economic order quantity; EOQ; deterioration; delay in payment; trade credit; backlog dependent.

DOI: 10.1504/IJOR.2025.144320

International Journal of Operational Research, 2025 Vol.52 No.2, pp.147 - 170

Received: 19 Feb 2022
Accepted: 28 Jun 2022
Published online: 07 Feb 2025 *

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