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An algorithm for determining the marginal queue length probablity distributions for a closed queing network is presented. Efficient algorithms for determining the normalizing constant are known. The marginal distributions are obtained at minimal additional cost. Further, the algorithm does not depend on the product form solution. Thus it may be applied to closed queueing networkswith classes of customers. It is shown how the algorithm may be used to find the queue length probabilitydistribution for each class in such a network.
Author(s): Hine JH
Series Editor(s): Shaw B
Publication type: Report
Publication status: Published
Series Title: Computing Laboratory Technical Report Series
Year: 1975
Pages: 8
Print publication date: 01/11/1975
Source Publication Date: November 1975
Report Number: 83
Institution: Computing Laboratory, The University of Newcastle upon Tyne
Place Published: Newcastle upon Tyne