Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616778 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Herty, Ch. Jörres, B. Piccoli,