A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution

Nowadays, considering inflation observed in most societies, it is important to investigate on effect of this phenomenon on inventory/production decisions. Consequently, the paper aims to study the influence of inflationary condition on a specific periodic review integrated vendor–buyer inventory sys...

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Main Authors: Hesamoddin Tahami, Abolfazl Mirzazadeh, Alireza Arshadi-khamseh, Aref Gholami-Qadikolaei
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Engineering
Subjects:
Online Access:http://dx.doi.org/10.1080/23311916.2016.1206689
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author Hesamoddin Tahami
Abolfazl Mirzazadeh
Alireza Arshadi-khamseh
Aref Gholami-Qadikolaei
author_facet Hesamoddin Tahami
Abolfazl Mirzazadeh
Alireza Arshadi-khamseh
Aref Gholami-Qadikolaei
author_sort Hesamoddin Tahami
collection DOAJ
description Nowadays, considering inflation observed in most societies, it is important to investigate on effect of this phenomenon on inventory/production decisions. Consequently, the paper aims to study the influence of inflationary condition on a specific periodic review integrated vendor–buyer inventory system in the presence of vendor’s imperfect manufacturing process. The lead time crashing cost is represented as a piecewise linear function of reduced lead time. In practice, the identification of the protection interval demand distribution of restricted data is a difficult task. As a result, this investigation assumes that the information about the protection interval demand for buyer is limited to its mean and standard deviation. Buyer’s ordering cost can be reduced through further investment. For the discussed model, an effective solution procedure is developed to determine optimal policy. Theorems on conditional convexity and concavity of objective cost function in the decision variables of the respective inflationary integrated inventory system are shown and proved. A numerical example is presented to illustrate the results of the proposed model.
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spelling doaj.art-7d23c891119f4b97834f1a9a857a8afb2023-09-02T21:56:04ZengTaylor & Francis GroupCogent Engineering2331-19162016-12-013110.1080/23311916.2016.12066891206689A periodic review integrated inventory model for buyer’s unidentified protection interval demand distributionHesamoddin Tahami0Abolfazl Mirzazadeh1Alireza Arshadi-khamseh2Aref Gholami-Qadikolaei3Kharazmi UniversityKharazmi UniversityKharazmi UniversityKharazmi UniversityNowadays, considering inflation observed in most societies, it is important to investigate on effect of this phenomenon on inventory/production decisions. Consequently, the paper aims to study the influence of inflationary condition on a specific periodic review integrated vendor–buyer inventory system in the presence of vendor’s imperfect manufacturing process. The lead time crashing cost is represented as a piecewise linear function of reduced lead time. In practice, the identification of the protection interval demand distribution of restricted data is a difficult task. As a result, this investigation assumes that the information about the protection interval demand for buyer is limited to its mean and standard deviation. Buyer’s ordering cost can be reduced through further investment. For the discussed model, an effective solution procedure is developed to determine optimal policy. Theorems on conditional convexity and concavity of objective cost function in the decision variables of the respective inflationary integrated inventory system are shown and proved. A numerical example is presented to illustrate the results of the proposed model.http://dx.doi.org/10.1080/23311916.2016.1206689supply chainintegrated vendor–buyer inventory modelperiodic reviewlead timeordering costinflationnonlinear stochastic optimization, costing and pricing
spellingShingle Hesamoddin Tahami
Abolfazl Mirzazadeh
Alireza Arshadi-khamseh
Aref Gholami-Qadikolaei
A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
Cogent Engineering
supply chain
integrated vendor–buyer inventory model
periodic review
lead time
ordering cost
inflation
nonlinear stochastic optimization, costing and pricing
title A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
title_full A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
title_fullStr A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
title_full_unstemmed A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
title_short A periodic review integrated inventory model for buyer’s unidentified protection interval demand distribution
title_sort periodic review integrated inventory model for buyer s unidentified protection interval demand distribution
topic supply chain
integrated vendor–buyer inventory model
periodic review
lead time
ordering cost
inflation
nonlinear stochastic optimization, costing and pricing
url http://dx.doi.org/10.1080/23311916.2016.1206689
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