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QUESTA
2006

Analysis of customers' impatience in queues with server vacations

13 years 11 months ago
Analysis of customers' impatience in queues with server vacations
Abstract Many models for customers impatience in queueing systems have been studied in the past; the source of impatience has always been taken to be either a long wait already experienced at a queue, or a long wait anticipated by a customer upon arrival. In this paper we consider systems with servers vacations where customers' impatience is due to an absentee of servers upon arrival. Such a model, representing frequent behavior by waiting customers in service systems, has never been treated before in the literature. We present a comprehensive analysis of the single-server, M/M/1 and M/G/1 queues, as well as of the multi-server M/M/c queue, for both the multiple and the single-vacation cases, and obtain various closed-form results. In particular, we show that the proportion of customer abandonments under the single-vacation regime is smaller than that under the multiple-vacation discipline. Keywords Queueing
Eitan Altman, Uri Yechiali
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2006
Where QUESTA
Authors Eitan Altman, Uri Yechiali
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