Class Qsys_gig1_lbndKt

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    • Field Summary

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    • Method Summary

      Modifier and Type Method Description
      final static HashMap<String, Object> qsys_gig1_lbnd(Double lambda, Double mu, Double ca2, Double cs2) G/G/1 queue lower boundsComputes fundamental theoretical lower bounds for G/G/1 queues.
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Constructor Detail

    • Method Detail

      • qsys_gig1_lbnd

         final static HashMap<String, Object> qsys_gig1_lbnd(Double lambda, Double mu, Double ca2, Double cs2)

        G/G/1 queue lower bounds

        Computes fundamental theoretical lower bounds for G/G/1 queues. These are the minimum possible values that performance measures cannot fall below for any realization of the arrival and service processes.

        Parameters:
        lambda - arrival rate
        mu - service rate
        ca2 - squared coefficient of variation of inter-arrival time
        cs2 - squared coefficient of variation of service time
        Returns:

        HashMap containing: - L: lower bound on average number in system - Lq: lower bound on average number in queue - W: lower bound on average time in system - Wq: lower bound on average waiting time in queue - p0: upper bound on probability of empty system