Features of some discrete-time cyclic queueing networks |
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Authors: | Victor Pestien S. Ramakrishnan |
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Affiliation: | (1) Department of Mathematics and Computer Science, University of Miami, 33124-4250 Coral Gables, FL, USA |
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Abstract: | A class of discrete-time closed cyclic networks is analyzed, where queues at each node have ample waiting room and have independent geometric service times with possibly unequal means. If each node has a single server or if there are sufficiently many parallel servers at each node to accommodate all jobs, equilibrium vectors of product form are obtained. For some other cases, equilibrium vectors of product form need not exist. For the single-server model, a normalization constant is computed and used to determine the queue-length distribution at a node. |
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Keywords: | Discrete-time queue cyclic queueing network product form normalization constant |
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