Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations

The basic partial differential equation (PDE) models for supply chain networks with re-entrant nodes and their macroscopic are proposed. However, through numerical examples, the basic continuum models do not perform well for multiple re-entrant systems. Then, a new state equation considering the re-...

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Main Authors: Fenglan He, Ming Dong, Xiaofeng Shao
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/325690
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author Fenglan He
Ming Dong
Xiaofeng Shao
author_facet Fenglan He
Ming Dong
Xiaofeng Shao
author_sort Fenglan He
collection DOAJ
description The basic partial differential equation (PDE) models for supply chain networks with re-entrant nodes and their macroscopic are proposed. However, through numerical examples, the basic continuum models do not perform well for multiple re-entrant systems. Then, a new state equation considering the re-entrant degree of the products is introduced to improve the effectiveness of the basic continuum models. The applicability of the modified continuum models for re-entrant supply chains is illustrated through numerical examples. Finally, based on the modified continuum model, numerical examples of different re-entrant degrees are given, meanwhile, the changes in the WIP and outflux are analyzed in details for multiple re-entrant supply chain systems.
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institution Kabale University
issn 1110-757X
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record_format Article
series Journal of Applied Mathematics
spelling doaj-art-b8458763172241a69cf8ea6072c998b42025-02-03T05:59:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/325690325690Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential EquationsFenglan He0Ming Dong1Xiaofeng Shao2Department of Industrial Engineering, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaDepartment of Operations Management, Antai College of Economics & Management, Shanghai Jiao Tong University, 535 Fahua Zhen Road, Shanghai 200052, ChinaDepartment of Operations Management, Antai College of Economics & Management, Shanghai Jiao Tong University, 535 Fahua Zhen Road, Shanghai 200052, ChinaThe basic partial differential equation (PDE) models for supply chain networks with re-entrant nodes and their macroscopic are proposed. However, through numerical examples, the basic continuum models do not perform well for multiple re-entrant systems. Then, a new state equation considering the re-entrant degree of the products is introduced to improve the effectiveness of the basic continuum models. The applicability of the modified continuum models for re-entrant supply chains is illustrated through numerical examples. Finally, based on the modified continuum model, numerical examples of different re-entrant degrees are given, meanwhile, the changes in the WIP and outflux are analyzed in details for multiple re-entrant supply chain systems.http://dx.doi.org/10.1155/2011/325690
spellingShingle Fenglan He
Ming Dong
Xiaofeng Shao
Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
Journal of Applied Mathematics
title Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
title_full Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
title_fullStr Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
title_full_unstemmed Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
title_short Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
title_sort modeling and analysis of material flows in re entrant supply chain networks using modified partial differential equations
url http://dx.doi.org/10.1155/2011/325690
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AT mingdong modelingandanalysisofmaterialflowsinreentrantsupplychainnetworksusingmodifiedpartialdifferentialequations
AT xiaofengshao modelingandanalysisofmaterialflowsinreentrantsupplychainnetworksusingmodifiedpartialdifferentialequations