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.
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DOI : 10.1051/ro/2019056
Mots-clés : Economic manufacturing quantity (EMQ), single machine production, warm-up period, non-linear programming (NLP), exact solution
@article{RO_2020__54_5_1495_0,
author = {Nobil, Amir Hossein and Kazemi, Abolfazl and Taleizadeh, Ata Allah},
title = {Economic lot-size problem for a cleaner manufacturing system with warm-up period},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1495--1514},
publisher = {EDP-Sciences},
volume = {54},
number = {5},
year = {2020},
doi = {10.1051/ro/2019056},
mrnumber = {4126317},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2019056/}
}
TY - JOUR AU - Nobil, Amir Hossein AU - Kazemi, Abolfazl AU - Taleizadeh, Ata Allah TI - Economic lot-size problem for a cleaner manufacturing system with warm-up period JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1495 EP - 1514 VL - 54 IS - 5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2019056/ DO - 10.1051/ro/2019056 LA - en ID - RO_2020__54_5_1495_0 ER -
%0 Journal Article %A Nobil, Amir Hossein %A Kazemi, Abolfazl %A Taleizadeh, Ata Allah %T Economic lot-size problem for a cleaner manufacturing system with warm-up period %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1495-1514 %V 54 %N 5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2019056/ %R 10.1051/ro/2019056 %G en %F RO_2020__54_5_1495_0
Nobil, Amir Hossein; Kazemi, Abolfazl; Taleizadeh, Ata Allah. Economic lot-size problem for a cleaner manufacturing system with warm-up period. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 5, pp. 1495-1514. doi : 10.1051/ro/2019056. http://archive.numdam.org/articles/10.1051/ro/2019056/
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