Package jline.api.pfqn.mva

Class Pfqn_xzabalow

java.lang.Object

jline.api.pfqn.mva.Pfqn_xzabalow

public final class Pfqn_xzabalow
extends Object

Lower Asymptotic Bound Approximation (ABA) for throughput in single-class networks.

Computes the lower ABA bound for throughput in closed single-class queueing networks. Provides fundamental lower bounds based on asymptotic behavior analysis for performance evaluation and approximation algorithm validation.

Since:

LINE 3.0

Method Summary

Modifier and Type	Method	Description
static double	pfqn_xzabalow(Matrix L, double N, double Z)	Computes the lower ABA for the throughput of the given closed single-class queueing networks

Methods inherited from class java.lang.Object

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

Method Details

pfqn_xzabalow

public static double pfqn_xzabalow(Matrix L,
 double N,
 double Z)

Computes the lower ABA for the throughput of the given closed single-class queueing networks

This is the textbook ABA lower bound N / (Z + N * sum(L)), obtained by assuming every job queues behind all the others. It is NOT the tighter Zahorjan-Balanced bound; see Pfqn_xzgsblow for that.

Parameters:

L - - service demand matrix

N - - population

Z - - think time

Returns:

- the lower ABA for the throughput