Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 66, Issue 3, Pages 896-920Publisher
SIAM PUBLICATIONS
DOI: 10.1137/040604625
Keywords
supply chains; conservation laws; asymptotics
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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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