A Model for the Dynamics of large Queuing Networks and Supply Chains

نویسندگان

  • Dieter Armbruster
  • Pierre Degond
  • Christian A. Ringhofer
چکیده

We consider a supply chain consisting of a sequence of buffer queues and processors with certain throughput times and capacities. Based on a simple rule for releasing parts, i.e. batches of product or individual product items, from the buffers into the processors we derive a hyperbolic conservation law for the part density and flux in the supply chain. The conservation law will be asymptotically valid in regimes with a large number of parts in the supply chain. Solutions of this conservation law will in general develop concentrations corresponding to bottlenecks in the supply chain.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 66  شماره 

صفحات  -

تاریخ انتشار 2006