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
Queueing Systems: Theory and Applications
State space collapse with application to heavy traffic limits for multiclass queueing networks
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
State space collapse with application to heavy traffic limits for multiclass queueing networks
Queueing Systems: Theory and Applications
Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies
Queueing Systems: Theory and Applications
Stability of a three-station fluid network
Queueing Systems: Theory and Applications
Stability of Earliest-Due-Date, First-Served Queueing Networks
Queueing Systems: Theory and Applications
Continuous-Review Tracking Policies for Dynamic Control of Stochastic Networks
Queueing Systems: Theory and Applications
Positive harris recurrence and diffusion scale analysis of a push pull queueing network
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Positive Harris recurrence and diffusion scale analysis of a push pull queueing network
Performance Evaluation
V-uniform ergodicity for state-dependent single class queueing networks
Queueing Systems: Theory and Applications
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Instability of FIFO in a simple queueing system with arbitrarily low loads
Operations Research Letters
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We investigate the stability of two families of queueing networks. The first family consists of a general class of networks, where service is allotted to the lead customer at each buffer. The other generalizes networks considered by Humes [18], and is related to the insertion of “leaky buckets” into the system. The arguments for the stability of the networks in each case rely on the corresponding behavior for the associated fluid models. This connection is employed using the framework established by Dai [10], with some modifications. It is discussed here in a somewhat more general setting, with future applications in mind.