Package jline.api.aoi

Class Aoi_fcfs_mgi1Kt

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    • Method Summary

      Modifier and Type Method Description
      final static AoiLstResult aoi_fcfs_mgi1(Double lambda, LstFunction H_lst, Double E_H, Double E_H2) Mean AoI and LST for M/GI/1 FCFS queue.

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

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    • Method Detail

      • aoi_fcfs_mgi1

         final static AoiLstResult aoi_fcfs_mgi1(Double lambda, LstFunction H_lst, Double E_H, Double E_H2)

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

        Formulas (from Inoue et al., IEEE Trans. IT, 2019, Theorem 2): LST of AoI: A*(s) = (lambda * H*(s)) / (s + lambda - lambdaH(s)) * W*(s) where W*(s) is the LST of waiting time (Pollaczek-Khinchine).

        Mean AoI (Proposition 1): EA = EY + ET + lambda * EH^2 / (2*(1-rho)) = 1/lambda + EW + EH + lambda * EH^2 / (2*(1-rho))

        Parameters:
        lambda - Arrival rate (Poisson arrivals), must be positive
        H_lst - LST of service time distribution
        E_H - Mean service time (first moment), must be positive
        E_H2 - Second moment of service time, must be >= E_H^2
        Returns:

        AoiLstResult containing meanAoI, lstAoI, peakAoI