Regarding today’s business environment restrictions, one of significant concern of inventory manager is to determine optimal policies of inventory/production systems under some restrictions such as budget and storage space. Therefore here, a budget constraint on total inventory investment and a maximum permissible storage space constraint are added simultaneously to a stochastic continuous review mixed backorder and lost sales inventory system. This study also assumes that the received lot may contain some defective units with a beta-binomial random variable. Two lead time demand (LTD) distribution approach are proposed in this paper, one with normally distributed demand and another with distribution free demand. For each approach, a Lagrange multiplier method is applied in order to solve the discussed constrained inventory models and a solution procedure is developed to find optimal values. This study, also, shows that the respective budget and storage space constrained inventory models to be minimized are jointly convex in the decision variables. Numerical examples are also presented to illustrate the models.
Mots-clés : Stochastic inventory system, lead time, inventory constraints, minimax distribution free procedure, imperfect items, ordering cost reduction, Lagrange multiplier method
@article{RO_2015__49_2_215_0,
author = {Gholami-Qadikolaei, Aref and Mirzazadeh, Abolfazl and Tavakkoli-Moghaddam, Reza},
editor = {Blazewicz, Jacek and Pesch, Erwin and Philipps, Cynthia and Trystram, Denis and Zhang, Guochuan},
title = {Lead time and ordering cost reductions in budget and storage space restricted probabilistic inventory models with imperfect items},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {215--242},
publisher = {EDP-Sciences},
volume = {49},
number = {2},
year = {2015},
doi = {10.1051/ro/2014031},
zbl = {1310.90006},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2014031/}
}
TY - JOUR AU - Gholami-Qadikolaei, Aref AU - Mirzazadeh, Abolfazl AU - Tavakkoli-Moghaddam, Reza ED - Blazewicz, Jacek ED - Pesch, Erwin ED - Philipps, Cynthia ED - Trystram, Denis ED - Zhang, Guochuan TI - Lead time and ordering cost reductions in budget and storage space restricted probabilistic inventory models with imperfect items JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2015 SP - 215 EP - 242 VL - 49 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2014031/ DO - 10.1051/ro/2014031 LA - en ID - RO_2015__49_2_215_0 ER -
%0 Journal Article %A Gholami-Qadikolaei, Aref %A Mirzazadeh, Abolfazl %A Tavakkoli-Moghaddam, Reza %E Blazewicz, Jacek %E Pesch, Erwin %E Philipps, Cynthia %E Trystram, Denis %E Zhang, Guochuan %T Lead time and ordering cost reductions in budget and storage space restricted probabilistic inventory models with imperfect items %J RAIRO - Operations Research - Recherche Opérationnelle %D 2015 %P 215-242 %V 49 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2014031/ %R 10.1051/ro/2014031 %G en %F RO_2015__49_2_215_0
Gholami-Qadikolaei, Aref; Mirzazadeh, Abolfazl; Tavakkoli-Moghaddam, Reza. Lead time and ordering cost reductions in budget and storage space restricted probabilistic inventory models with imperfect items. RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 215-242. doi : 10.1051/ro/2014031. http://archive.numdam.org/articles/10.1051/ro/2014031/
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