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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/6292

Title: Bounds for the mean system size in M/G/1/K-queues
Authors: HEIJNEN, Bart
Issue Date: 1995
Publisher: Elsevier Science B.V.
Citation: Journal of computational and applied mathematics, 64(1-2). p. 149-161
Abstract: Contrary to their infinite capacity counterparts, the moments of the distribution of the number in a M/G/1/K-system cannot be determined by means of the Pollaczek-Khinchine equation. If the finite capacity K is small the distribution under study can be obtained as the steady-state probability distribution related to the transition probability matrix. For larger capacities, we derive upper and lower bounds on the mean system size in an M/G/1/K-queue for which the first two moments of the number in the system of the infinite capacity queue are known. Numerical examples for the M/D/1/1-and M/D/1/3-queues are given.
URI: http://hdl.handle.net/1942/6292
DOI: 10.1016/0377-0427(95)00012-7
Type: Journal Contribution
Appears in Collections: Research publications

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