On the probability of abandonment in queues with limited sojourn and waiting times

Authors:
J. Van Velthoven;B. Van Houdt;C. Blondia
Affiliations:
University of Antwerp, Middelheimlaan 1, B-2020 Antwerpen, Belgium;University of Antwerp, Middelheimlaan 1, B-2020 Antwerpen, Belgium;University of Antwerp, Middelheimlaan 1, B-2020 Antwerpen, Belgium
Venue:
Operations Research Letters
Year:
2006

Citing 2
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Abstract

Consider the Geo/Geo/1 queue with impatient customers and let X reflect the patience distribution. We show that systems with a smaller patience distribution X in the convex-ordering sense give rise to fewer abandonments (due to impatience), irrespective of whether customers become patient when entering the service facility.