Moment analysis for load-dependent mixed product form queueing networks

A solution algorithm is developed for higher moments of the number of jobs at the stations in load-dependent mixed product form queuing networks. Such networks are important because they can be used to model computer systems and computer communication networks. A relationship is proved and applied between the derivatives of these moments and higher moments. The derivative measures are calculated using a mean value analysis type algorithm called moment analysis. The authors describe the model and review the product form solutions for load-dependent mixed queuing networks. They develop the moment analysis algorithm and the formulas for the performance measures such as the response time, throughput and mean number of jobs in the stations. The complexity of the algorithm is discussed.<
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