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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, Hindawi, vol. 2011, pages 1-14, February.
    • Handle: RePEc:hin:jnljam:325690
    DOI: 10.1155/2011/325690
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    Cited by:

    1. Пигнастый, Олег, 2014. "Использование Pde-Моделей Для Построения Единой Теории Производственных Линий [Using PDE-models for a unified theory of production lines]," MPRA Paper 94647, University Library of Munich, Germany, revised 06 Sep 2014.
    2. Пигнастый, Олег, 2014. "Основы Статистической Теории Построения Континуальных Моделей Производственных Линий [Fundamentals Of The Statistical Theory Of The Construction Of Continuum Models Of Production Lines]," MPRA Paper 95240, University Library of Munich, Germany, revised 20 Aug 2014.

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