Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Stability and instability of fluid models for reentrant lines
Mathematics of Operations Research
Stability of multiclass queueing networks under FIFO service discipline
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
Stabilizing Batch-Processing Networks
Operations Research
Stability of Multiclass Queueing Networks Under Priority Service Disciplines
Operations Research
The Stability of Two-Station Multitype Fluid Networks
Operations Research
Necessary conditions for global stability of multiclass queueing networks
Operations Research Letters
Traffic splitting in a network: split traffic models and applications
Computer Communications
| Hi-index | 0.00 |
In this paper we investigate the stability of a class of two-station multiclass fluid networks with proportional routing. We obtain explicit necessary and sufficient conditions for the global stability of such networks. By virtue of a stability theorem of Dai [14] , these results also give sufficient conditions for the stability of a class of related multiclass queueing networks. Our study extends the results of Dai and VandeVate [19] , who provided a similar analysis for fluid models without proportional routing, which arise from queueing networks with deterministic routing. The models we investigate include fluid models which arise from a large class of two-station queueing networks with probabilistic routing. The stability conditions derived turn out to have an appealing intuitive interpretation in terms of virtual stations and push-starts which were introduced in earlier work on multiclass networks.