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Title: | Bounds for the mean system size in M/G/1/K-queues | Authors: | HEIJNEN, Bart JANSSENS, Gerrit K. |
Issue Date: | 1995 | Publisher: | Elsevier Science B.V. | Source: | 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. | Document 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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