We consider a recently proposed model byArmbruster etal. (2011).  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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Discontinuous flux
- Front tracking
- Supply chains