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

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  • Fenglan He
  • Ming Dong
  • Xiaofeng Shao

Abstract

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.

Suggested Citation

  • Fenglan He & Ming Dong & Xiaofeng Shao, 2011. "Modeling and Analysis of Material Flows in Re‐Entrant Supply Chain Networks Using Modified Partial Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnljam:v:2011:y:2011:i:1:n:325690
    DOI: 10.1155/2011/325690
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