An Integral Inequality for Convex Functions, with Application to Teletraffic Congestion Problems

Published Online:https://doi.org/10.1287/moor.20.3.526

An integral inequality for convex functions is deduced from Jensen's inequality. This gives as a special case a commonly-used inequality in the analysis of call congestion in queueing theory which has previously been derived only by rather longer ad hoc procedures.

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