Monotonie- und stetigkeitseigenschaften mehrliniger wartesysteme der bedienungstheorie
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 4 (2) , 155-163
- https://doi.org/10.1080/02331887308801116
Abstract
For GI/G/s queues (s ≧1) are proved some monotonicity properties of the distribution functions of waiting time and queue siao ancl the following theorem: Let be ∑ and ∑n GI/G/s queues with the interarrival clistribution functions A and A n and the service time distribution functions B. and B (n) (n = 1, 2, …). By some assumptions about the A n and the B n from the weak convergence of the A n to A and of the B n to B follows the weak coiivergence of corresponding stationary waiting timedistribution functions W n to W, the stationary waiting time distribution function in ∑.Keywords
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