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Steady solutions for FIFO networks. (English) Zbl 1030.90008
Summary: We consider the fluid model of a reentrant line with FIFO discipline and look for solutions with constant flows (steady solutions). In the case of constant viscosities we prove the uniqueness of such a solution. If viscosities are different, we present an example with multiple steady solutions. We also prove that for some classes of reentrant lines uniqueness holds even if the viscosities are different.
MSC:
90B10 Deterministic network models in operations research
94C99 Circuits, networks
37N35 Dynamical systems in control
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