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A method of showing the performance limiting effects of a product form queueing network as lines, planes, etc in a J dimensional space is given. The location of a certain critical point (Little's Law Point) in this space allows the asymptotic calculation of the normalizing constant G(K) of the network. This Little's Law point (LLP) is found by applying Little's Law to the augmented system generating function of the BCMP 1 network. The computational complexity of this algorithm is the Order (number of chains cubed * number of service centers in the system). Comparisons of numerical accuracy with other methods (Convolution, and another asymptotic method) are given.

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Visualizing performance in the frequency plane

Keehn, D. G.
ACM SIGMETRICS Performance Evaluation Review , Volume 22 (2-4)
Association for Computing MachineryApr 1, 1995

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