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.
['J. Van Velthoven', 'B. Van Houdt', 'Chris Blondia']
On the probability of abandonment in queues with limited sojourn and waiting times