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We iteratively derive the product-form solutions of stationary distributionsof priority multiclass queueing networks with multi-sever stations. Thenetworks are Markovian with exponential interarrival and service timedistributions. These solutions can be used to conduct performance analysis oras comparison criteria for approximation and simulation studies of large scalenetworks with multi-processor shared-memory switches and cloud computingsystems with parallel-server stations. Numerical comparisons with existingBrownian approximating model are provided to indicate the effectiveness of ouralgorithm.

Product-form solutions for integrated services packet networks and cloud computing systems