Package jline.api.aoi

Class Aoi_fcfs_gim1Kt

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    • Method Summary

      Modifier and Type Method Description
      final static AoiLstResult aoi_fcfs_gim1(LstFunction Y_lst, Double mu, Double E_Y, Double E_Y2) Mean AoI and LST for GI/M/1 FCFS queue.

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        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

    • Constructor Detail

    • Method Detail

      • aoi_fcfs_gim1

         final static AoiLstResult aoi_fcfs_gim1(LstFunction Y_lst, Double mu, Double E_Y, Double E_Y2)

        Mean AoI and LST for GI/M/1 FCFS queue.

        Formulas (from Inoue et al., IEEE Trans. IT, 2019, Theorem 3): The key parameter sigma is the unique root in (0,1) of: Y*(mu - mu*sigma) = sigma

        Mean AoI: EA = EY + ED + sigma / (mu * (1-sigma)) Peak AoI: EApeak = EY + ED

        Parameters:
        Y_lst - LST of interarrival time distribution
        mu - Service rate (exponential service), must be positive
        E_Y - Mean interarrival time (first moment), must be positive
        E_Y2 - Second moment of interarrival time, must be >= E_Y^2
        Returns:

        AoiLstResult containing meanAoI, lstAoI, peakAoI