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Some classes of distributions and their application in queueing |
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| Authors: | R. Bergmann |
| Affiliation: | Sektion Mathematik , Karl-Marx-University , Karl-Marx-Platz, Leipzig, DDR—701 |
| Abstract: | New classes of distributions are defined in analogy to the properties NBU, NBUE known from reliability. They are applied to obtain bounds on certain parameters of the GI/G/1 queue, such as the mean and the variance of the stationary waiting time, the probability of waiting, and the covariances of waiting times. |
| Keywords: | Sum of independent gamma variates inverse MEIXIN transform exact density ratio of sums of garriHia variates exact uistriuution tunction |