Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations
| Title: | Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations |
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| Authors: | Fenglan He, Ming Dong, Xiaofeng Shao |
| Source: | Journal of Applied Mathematics, Vol 2011 (2011) |
| Publisher Information: | Wiley, 2011. |
| Publication Year: | 2011 |
| Collection: | LCC:Mathematics |
| Subject Terms: | Mathematics, QA1-939 |
| More Details: | 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. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 1110-757X 1687-0042 |
| Relation: | https://doaj.org/toc/1110-757X; https://doaj.org/toc/1687-0042 |
| DOI: | 10.1155/2011/325690 |
| Access URL: | https://doaj.org/article/b8458763172241a69cf8ea6072c998b4 |
| Accession Number: | edsdoj.b8458763172241a69cf8ea6072c998b4 |
| Database: | Directory of Open Access Journals |
| ISSN: | 1110757X 16870042 |
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| DOI: | 10.1155/2011/325690 |
| Published in: | Journal of Applied Mathematics |
| Language: | English |