Network models for supply chains

A mathematical model describing supply chains on a network is introduced. In particular, conditions on each vertex of the network are specified. Finally, this leads to a system of nonlinear conservation laws coupled to ordinary differential equations. To prove the existence of a solution we make use of the front tracking method. A comparison to another approach is given and numerical results are presented.

2010 Mathematics Subject Classification

Primary 90B10. Secondary 90B50.

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Published 1 January 2005