Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2011, Special Issue (2011), Article ID 325690, 14 pages.
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-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.
J. Appl. Math., Volume 2011, Special Issue (2011), Article ID 325690, 14 pages.
First available in Project Euclid: 29 August 2011
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He, Fenglan; Dong, Ming; Shao, Xiaofeng. Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations. J. Appl. Math. 2011, Special Issue (2011), Article ID 325690, 14 pages. doi:10.1155/2011/325690. https://projecteuclid.org/euclid.jam/1314650232