Geodesic
Lead time and ordering cost reductions in budget and storage space restricted probabilistic inventory models with imperfect items
Gholami-Qadikolaei, Aref1 ; Mirzazadeh, Abolfazl1 ; Tavakkoli-Moghaddam, Reza2
1 Department of Industrial Engineering, Kharazmi University, Mofatteh Ave, Tehran 1571914911, Iran.
2 Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 215-242

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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.

DOI : 10.1051/ro/2014031
Classification : 90B05, 90C15, 90C30, 90C47
Keywords: Stochastic inventory system, lead time, inventory constraints, minimax distribution free procedure, imperfect items, ordering cost reduction, Lagrange multiplier method

Gholami-Qadikolaei, Aref 1 ; Mirzazadeh, Abolfazl 1 ; Tavakkoli-Moghaddam, Reza 2

1 Department of Industrial Engineering, Kharazmi University, Mofatteh Ave, Tehran 1571914911, Iran.
2 Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran 
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     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://geodesic.mathdoc.fr/articles/10.1051/ro/2014031/}
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%A Mirzazadeh, Abolfazl
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%E Philipps, Cynthia
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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

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