Stationary representation of queues. II

Author:

Szczotka Władysław

Abstract

The paper is a continuation of [7]. One of the main results is as follows: if the sequence (w, v, u) is asymptotically stationary in some sense then (l, w, v, u) is asymptotically stationary in the same sense. The other main result deals with an asymptotic behaviour of the vector of the queue size and the waiting time in the heavy-traffic situation. This result resembles a formula of the Little type.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference7 articles.

1. . Szczotka W. (1986) Joint distribution of waiting time and queue size for single server queues, Dissertationes Math. 248.

2. An invariance principle for queues in heavy traffic

3. Immediate service in Benes-type G/G/1 queueing system;Szczotka;Zast. Mat.,1974

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