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Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters

This paper focuses on a multi-echelon inventory system under continuous review (R, Q) policy with generalized Gamma four-parameter distribution of demand during lead-time which consist a distribution center and three warehouses that satisfy unlimited retailers. In this paper we were able to reach a...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Ghafour, Karzan Mahdi, Ramli, Razamin, Zabidi, Nerda Zura
التنسيق: مقال
منشور في: CESER Publications 2016
الموضوعات:
QA Mathematics
الوصول للمادة أونلاين:http://repo.uum.edu.my/16860/
http://www.ceser.in/ceserp/index.php/ijamas/article/view/3969
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id my.uum.repo.16860
record_format eprints
spelling my.uum.repo.168602016-04-12T01:33:29Z http://repo.uum.edu.my/16860/ Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters Ghafour, Karzan Mahdi Ramli, Razamin Zabidi, Nerda Zura QA Mathematics This paper focuses on a multi-echelon inventory system under continuous review (R, Q) policy with generalized Gamma four-parameter distribution of demand during lead-time which consist a distribution center and three warehouses that satisfy unlimited retailers. In this paper we were able to reach a new formulation of Economic Order Quantity Q through a mathematical derivation by integration of the probability density function of the demand during lead-time in the inventory total cost function. In addition, the numerical results show the best exploit of the daily production which represents the optimal values of the economic order quantities Q at each echelon and the optimal reorder point R at each installation and echelon. However, this paper is an extend of our previous work which we proved that the demand during lead-time distributed generalized Gamma four-parameters by a simulation model. CESER Publications 2016 Article PeerReviewed Ghafour, Karzan Mahdi and Ramli, Razamin and Zabidi, Nerda Zura (2016) Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters. International Journal of Applied Mathematics and Statistics™ (IJAMAS), 54 (2). ISSN 0973-7545 http://www.ceser.in/ceserp/index.php/ijamas/article/view/3969
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Ghafour, Karzan Mahdi
Ramli, Razamin
Zabidi, Nerda Zura
Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
description This paper focuses on a multi-echelon inventory system under continuous review (R, Q) policy with generalized Gamma four-parameter distribution of demand during lead-time which consist a distribution center and three warehouses that satisfy unlimited retailers. In this paper we were able to reach a new formulation of Economic Order Quantity Q through a mathematical derivation by integration of the probability density function of the demand during lead-time in the inventory total cost function. In addition, the numerical results show the best exploit of the daily production which represents the optimal values of the economic order quantities Q at each echelon and the optimal reorder point R at each installation and echelon. However, this paper is an extend of our previous work which we proved that the demand during lead-time distributed generalized Gamma four-parameters by a simulation model.
format Article
author Ghafour, Karzan Mahdi
Ramli, Razamin
Zabidi, Nerda Zura
author_facet Ghafour, Karzan Mahdi
Ramli, Razamin
Zabidi, Nerda Zura
author_sort Ghafour, Karzan Mahdi
title Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
title_short Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
title_full Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
title_fullStr Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
title_full_unstemmed Developing a continuous review (R, Q) policy when the demand during lead-time distributed generalized gamma four-parameters
title_sort developing a continuous review (r, q) policy when the demand during lead-time distributed generalized gamma four-parameters
publisher CESER Publications
publishDate 2016
url http://repo.uum.edu.my/16860/
http://www.ceser.in/ceserp/index.php/ijamas/article/view/3969
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score 13.251813

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