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We present a systematic treatment of efficient nonlinear optimization of queuing systems. The suite of formulations uses the computational tool of convex optimization, with fast polynomial time algori...
This paper discusses some of the merits of the strong approximation ideas in developing diffusion approximations for queueing systems. Letting ρ be the utilization of the server, it is well known that...
In a multiclass network of queues, natural sufficient conditions are given for the mean number-in-system vector to cover the nonnegative orthant as the arrival rate vector varies over the stable domai...
This paper develops a new method for calculating the system size distribution on two different M/G/1 queueing system under N-policy with general startup/closedown. Firstly, the stochastic decompositio...
ModernWeb services, such as those at Google, Yahoo!, and Ama- zon, handle billions of requests per day on clusters of thousands of computers. Because these services operate under strict performance ...
We study open multiclass queueing networks with renewal arrival streams and general service time distributions. Upon arrival to the network, customers from each class are assigned a random deadline...
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early...

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