Technical Note—An Inequality for the Variance of Waiting Time under a General Queuing Discipline

Oldrich A. Vasicek
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Oldrich A. Vasicek: University of California, Berkeley, California

Operations Research, 1977, vol. 25, issue 5, 879-884

Abstract: We show that the expected value of any convex function of the waiting time (such as the variance) in a general queuing system under any queuing discipline independent of the service times does not exceed that under the last-come-first-served discipline, and is not less than that under the first-come-first-served discipline.

Date: 1977
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