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Efficient Nonlinear Optimization of Queueing Systems
Efficient Nonlinear Optimization Queueing Systems
2015/7/10
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...
The Mean Number-in-System Vector Range for a Multi-Class Queueing Network
networks of servers surjections onto multifunctions queueing
2015/7/6
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...
The System Size Distribution for M/G/1 Queueing System under N-Policy with Startup/Closedown
Queue-Length N-Policy Stochastic Decomposition Recursion Expression Leibniz Formula
2013/2/23
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...