An Inventory Model of Production with Level Dependent Demand Allowing Few Defective Items

• 作者: Md. Jamil Uddin Shirajul Islam Ukil Aminur Rahman Khan Md. Sharif Uddin
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 经济
• 关键词: Production Inventory Linear Demand Defective Item and Constant Production Rate
• 年，卷（期）: 2021,（1）
• 页码范围: 1-14
• 页数: 14页
• 分类号: F42

摘要

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</span><span style="font-size:12px;font-family:Verdana;">,</span><span style="font-size:12px;font-family:Verdana;"> 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.