This research work deals with an imperfect production system considering the purchasing of raw materials in order to study the economic production quantity (EPQ). This manufacturing system produces perfect and defective finished products; defectives are considered as scrap. A single product is manufactured from multiple raw materials which are purchased from outside suppliers. In the integrated procurement-production-inventory (IPPI) model, one of the principal decisions, in addition to determining the optimal lot size to produce, is to define the number of optimal orders of each raw material with respect to rate of consumption in the manufacturing of finished product. Two cases are considered: without shortage (first model) and with shortage (backordering, second model). In the first model, the purpose is to determine jointly the optimal lot size to manufacture and the optimal number orders of each raw material in order to minimize the total cost. The second model obtains the optimal number of orders of each raw material, the optimal lot size to manufacture and the optimal shortage level with aim to minimize the total cost. This research also shows that both of the proposed inventory models are a convex programming problem, so exact algorithms to solve these inventory problems are proposed.
Accepté le :
DOI : 10.1051/ro/2017067
Mots-clés : Economic production quantity, imperfect production system, shortage, lot sizingo, ptimization
@article{RO_2018__52_3_755_0,
author = {Nobil, Amir Hossein and C\'ardenas{\textendash}Barr\'on, Leopoldo Eduardo and Nobil, Erfan},
title = {Optimal and simple algorithms to solve integrated procurement-production-inventory problem without/with shortage},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {755--778},
publisher = {EDP-Sciences},
volume = {52},
number = {3},
year = {2018},
doi = {10.1051/ro/2017067},
zbl = {1405.90017},
mrnumber = {3868444},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017067/}
}
TY - JOUR AU - Nobil, Amir Hossein AU - Cárdenas–Barrón, Leopoldo Eduardo AU - Nobil, Erfan TI - Optimal and simple algorithms to solve integrated procurement-production-inventory problem without/with shortage JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 755 EP - 778 VL - 52 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017067/ DO - 10.1051/ro/2017067 LA - en ID - RO_2018__52_3_755_0 ER -
%0 Journal Article %A Nobil, Amir Hossein %A Cárdenas–Barrón, Leopoldo Eduardo %A Nobil, Erfan %T Optimal and simple algorithms to solve integrated procurement-production-inventory problem without/with shortage %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 755-778 %V 52 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017067/ %R 10.1051/ro/2017067 %G en %F RO_2018__52_3_755_0
Nobil, Amir Hossein; Cárdenas–Barrón, Leopoldo Eduardo; Nobil, Erfan. Optimal and simple algorithms to solve integrated procurement-production-inventory problem without/with shortage. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 755-778. doi : 10.1051/ro/2017067. http://www.numdam.org/articles/10.1051/ro/2017067/
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