The effect of service time variability on maximum queue lengths in M^X/G/1 queues

Details The effect of service time variability on maximum queue lengths in M^X/G/1 queues The effect of service time variability on maximum queue lengths in M^X/G/1 queues

2004-03-19

arxiv.org/abs/math/0403318v2

Mathematics

Probability

12 pages

Scientific paper

We study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer size for finite buffer (M/G/1/n) systems. We show the somewhat surprising result that for three variations of the preemptive LCFS discipline, the maximum queue length during a busy period is smaller when service times are more variable (in the convex sense).

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