Title: An EOQ model for deteriorating item with continuous linear time dependent demand with trade of credit and replenishment time being demand dependent

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

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

Abstract: This study is about an inventory model with continuous linear time dependent demand rate with constant rate of deterioration in the consideration of partial backorder including delay in payment and time period is demand dependent. Demand is the fundamental attribute for consideration of inventory related problem. In reality, there is some inter connection of demand function among various time interval for which the demand cannot change drastically at some critical point during the appearance of another state of system. Thus, it is quite natural that the demand function should be continuous in nature in inventory management problem. So, here the most prominent part of our present study is the consideration of time dependent continuous demand in the proposed model. A supportive numerical example of the proposed model is illustrated for insightful investigation. The solution method and sensitivity analysis has also been presented.

Keywords: inventory; deterioration; delay in payment; trade credit period; backlog dependent.

DOI: 10.1504/IJMOR.2023.128628

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.1, pp.104 - 127

Received: 01 Sep 2021
Accepted: 24 Nov 2021
Published online: 31 Jan 2023 *