Queues with service times and interarrival times depending linearly and randomly upon waiting times
Queueing Systems: Theory and Applications
Heavy traffic analysis of a data transmission system with many independent sources
SIAM Journal on Applied Mathematics
On Harris recurrence in continuous time
Mathematics of Operations Research
Sequencing and Routing in Multiclass Queueing Networks Part I: Feedback Regulation
SIAM Journal on Control and Optimization
Stability of two families of queueing networks and a discussion of fluid limits
Queueing Systems: Theory and Applications
Markov Chains and Stochastic Stability
Markov Chains and Stochastic Stability
Control Techniques for Complex Networks
Control Techniques for Complex Networks
Stability and Asymptotic Optimality of Generalized MaxWeight Policies
SIAM Journal on Control and Optimization
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We consider single class queueing networks with state-dependent arrival and service rates. Under the uniform (in state) stability condition, it is shown that the queue length process is V-uniformly ergodic; that is, it has a transition probability kernel which converges to its limit geometrically quickly in the V-norm sense. Among several asymptotic properties of V-uniformly ergodic processes, we present a Strassen-type functional law of the iterated logarithm result.