The effectiveness of the treebone clearly depends on the agethreshold. If the threshold is too low, many unstable nodeswould be included in the treebone; on the other hand, givinga high threshold, few nodes could be considered stable. Ourobjective is thus to optimize the Expected Service Time (EST)of a treebone node by selecting an appropriate age threshold.Let L be the length of the session, and f(x) be theprobability distribution function (PDF) of the node duration inthe session. Since a node starts serving in the treebone when itsage exceeds the corresponding threshold, for a treebone nodearriving at time t, its expected service time in the treebone,
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