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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1965 Volume 10, Issue 3, Pages 570–578 (Mi tvp558)

This article is cited in 8 papers

Short Communications

On existence of a limit distribution in queueing systems with bounded sojourn time

L. G. Afanas'eva

Voronezh

Abstract: A necessary and sufficient condition for the existence of a limit distribution in queueing systems with bounded sojourn time is given.
The proof of sufficiency is carried out with the help of the technique developed by Kiefer and Wolfowitz [5]. The necessity of the condition is proved by constructing some majorizing system with a simple queue.

Received: 17.09.1964


 English version:
Theory of Probability and its Applications, 1965, 10:3, 515–522

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