S. F. Yashkov, A. S. Yashkova, “On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes”, Avtomat. i Telemekh., 2009, Issue 12,Pages <nobr>134

This article is cited in 2 papers

Non-classical Models of the Queuing Theory

On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes

S. F. Yashkov^a, A. S. Yashkova^b

^a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
^b Municipal Institute, Zhukovskii, Moscow oblast, Russia

Abstract: We derive the Laplace–Stiltjes transforms of busy period and sojourn time distributions in the M/G/1 queue with egalitarian processor sharing (EPS) and the possibility of (external) catastrophes. Each arrival of the catastrophes immediately removes all the positive jobs (and hence unfinished work) in this non work-conserving queueing system. One of the main results is obtained by means of the so-called method of decomposition into delay elements introduced by the first author.

PACS: 02.50.Fz

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 12.05.2009