Author(s)

Md. Jamil Uddin¹, Shirajul Islam Ukil², Aminur Rahman Khan¹, Md. Sharif Uddin¹

¹Department of Mathematics, Jahangirnagar University, Savar, Dhaka, Bangladesh.
²Department of Mathematics, Bangladesh Military Academy, Bhatiary, Chattogram, Bangladesh.

This paper considers a model regarding the products with finite life which allows defective items in reproduction and causes a small amount of decay. The market demand is assumed to be level dependent linear type. The model has also considered the constant production rate which stops after a desired level of inventories and that is the highest level of it. Due to the market demand, defective item and product’s decay, the inventory reduces to the zero level where again the production cycle starts. With a numerical search procedure, the proof of the proposed model has been shown. The objective of the proposed model is to find out the total optimum inventory cost, optimum ordering cost and optimum ordering cycle.

Production Inventory, Linear Demand, Defective Item and Constant, Production Rate

Uddin, M. , Islam Ukil, S. , Rahman Khan, A. and Uddin, M. (2021) An Inventory Model of Production with Level Dependent Demand Allowing Few Defective Items. American Journal of Operations Research, 11, 1-14. doi: 10.4236/ajor.2021.111001.