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 ∑.

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