Stability and instability of fluid models for reentrant lines
Mathematics of Operations Research
A multiclass network with non-linear, non-convex, non-monotonic stability conditions
Queueing Systems: Theory and Applications
Stability of a three-station fluid network
Queueing Systems: Theory and Applications
Stability of Fluid Networks with Proportional Routing
Queueing Systems: Theory and Applications
Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks
Queueing Systems: Theory and Applications
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In this paper, we obtain necessary conditions for the global stability of a d-station multiclass queueing network. The conditions are given explicitly in terms of the average service and arrival rates of the network. Although these conditions are in general not sufficient for d 2, they may still highlight hidden bottlenecks in complex manufacturing systems such as wafer fabrication processes.