Volume 54, Number 5, September-October 2020
|Page(s)||1495 - 1514|
|Published online||23 July 2020|
Economic lot-size problem for a cleaner manufacturing system with warm-up period
Faculty of Industrial and Mechanical Engineering Qazvin Branch, Islamic Azad University, Qazvin, Iran
2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
Accepted: 22 May 2019
There are instances that production machines require a warm-up period to reach their anticipated productivity. This study extends an economic manufacturing quantity (EMQ) problem by considering warm-up issue in the model. Warming up the machine decreases production loss, emission, and machine depreciation. Therefore, this study helps industry to enhance the profitability and also to reduce the environmental impact by decreasing waste generation and improving machine efficiency. In this study, we divide our system into three subsystems based on the relationships between production and consumption. Then we provide a mathematical model for each subsystem (three in total). The first two models are single-item EMQ inventory problems and the third one is a multi-item single-machine EMQ problem. In the third model, a machine/facility manufactures some items under a limited manufacturing volume. The purpose of these proposed models is to find the optimum cycle length to minimize the total system cost that consists of manufacturing, inventory and setup costs. Finally, we propose exact solution procedures after proving the convexity of these mathematical models.
Mathematics Subject Classification: 90C30 / 90B05
Key words: Economic manufacturing quantity (EMQ) / single machine production / warm-up period / non-linear programming (NLP) / exact solution
© EDP Sciences, ROADEF, SMAI 2020
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