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Kingman has shown, under very weak conditions on the interarrival- andsevice-time distributions, that First-Come-First-Served minimizes the varianceof the waiting time among possible service disciplines. We show, under the sameconditions, that Last-Come-First-Served maximizes the variance of the waitingtime, thereby giving an upper bound on the variance among all disciplines.

A Bound on the Variance of the Waiting Time in a Queueing System