Continuous-Review Tracking Policies for Dynamic Control of Stochastic Networks
Queueing Systems: Theory and Applications
Performance Evaluation and Policy Selection in Multiclass Networks
Discrete Event Dynamic Systems
In Search of Sensitivity in Network Optimization
Queueing Systems: Theory and Applications
Two Workload Properties for Brownian Networks
Queueing Systems: Theory and Applications
Balancing Queues by Mean Field Interaction
Queueing Systems: Theory and Applications
Robustness of threshold policies in beneficiary-donor model
ACM SIGMETRICS Performance Evaluation Review - Special issue on the workshop on MAthematical performance Modeling And Analysis (MAMA 2005)
ODE methods for Markov chain stability with applications to MCMC
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Stochastic analysis of multiserver systems
ACM SIGMETRICS Performance Evaluation Review
Multiproduct Systems with Both Setup Times and Costs: Fluid Bounds and Schedules
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Fluid analysis of an input control problem
Queueing Systems: Theory and Applications
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CIS'09 Proceedings of the international conference on Computational and information science 2009
A differential game formulation of a controlled network
Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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Asymptotically Optimal Controls for Time-Inhomogeneous Networks
SIAM Journal on Control and Optimization
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ICATPN'05 Proceedings of the 26th international conference on Applications and Theory of Petri Nets
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This paper establishes new criteria for stability and for instability of multiclass network models under a given stationary policy. It also extends previous results on the approximation of the solution to the average cost optimality equations through an associated fluid model: It is shown that an optimized network possesses a fluid limit model which is itself optimal with respect to a total cost criterion. A general framework for constructing control algorithms for multiclass queueing networks is proposed based on these general results. Network sequencing and routing problems are considered as special cases. The following aspects of the resulting feedback regulation policies are developed in the paper: The policies are stabilizing and are, in fact, geometrically ergodic for a Markovian model. Numerical examples are given. In each case it is shown that the feedback regulation policy closely resembles the average-cost optimal policy. A method is proposed for reducing variance in simulation for a network controlled using a feedback regulation policy.