Package jline.api.qsys

Class Qsys_gig1_rqt

java.lang.Object
jline.api.qsys.Qsys_gig1_rqt
public final class Qsys_gig1_rqt extends Object

  • Method Summary

    Modifier and Type
    Method
    Description
    static double[]
    qsys_gig1_rqt(double lambda, double mu, double Gamma_a, double Gamma_s)
    Worst-case system time with the finite-variance tail coefficients alpha_a = alpha_s = 2.
    static double[]
    qsys_gig1_rqt(double lambda, double mu, double Gamma_a, double Gamma_s, double alpha_a, double alpha_s)
    Robust Queueing Theory worst-case system time of a G/G/1 FCFS queue.

    Methods inherited from class java.lang.Object

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

  • Method Details

    • qsys_gig1_rqt

      public static double[] qsys_gig1_rqt(double lambda, double mu, double Gamma_a, double Gamma_s, double alpha_a, double alpha_s)
      Robust Queueing Theory worst-case system time of a G/G/1 FCFS queue.
      Parameters:
      lambda - arrival rate
      mu - service rate
      Gamma_a - variability parameter of the arrival uncertainty set
      Gamma_s - variability parameter of the service uncertainty set
      alpha_a - arrival tail coefficient in (1,2]
      alpha_s - service tail coefficient in (1,2]
      Returns:
      array {W, rhohat, Sworst}: closed-form bound on the system time (Theorem 2), modified utilization, and exact worst-case system time over the uncertainty sets (eq. 12)

    • qsys_gig1_rqt

      public static double[] qsys_gig1_rqt(double lambda, double mu, double Gamma_a, double Gamma_s)
      Worst-case system time with the finite-variance tail coefficients alpha_a = alpha_s = 2.
      Parameters:
      lambda - arrival rate
      mu - service rate
      Gamma_a - variability parameter of the arrival uncertainty set
      Gamma_s - variability parameter of the service uncertainty set
      Returns:
      array {W, rhohat, Sworst}