Existence of solution to supply chain models based on partial differential equation with discontinuous flux function

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Herty, M.¹  Joerres, Ch.¹  Piccoli, B.² 

[1] Rhein Westfal TH Aachen, IGPM, D-52062 Aachen, Germany

[2] Rutgers State Univ, Camden, NJ 08102 USA

关键词: Supply chains;    Front tracking;    Discontinuous flux;   

DOI  :  10.1016/j.jmaa.2012.12.002

来源: Elsevier

【 摘 要 】

We consider a recently proposed model by Armbruster et al. (2011) [2] for supply chains with finite buffers. The continuous model is based on a scalar conservation law and discontinuous flux function. A suitable reformulation of the model is introduced and studied analytically. The latter include waves with infinite negative wave speed. Using wave-front tracking, existence of solutions is obtained for supply chains and sequences of supply chains. Numerical results are presented. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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