Package jline.api.qsys

Class Qsys_gig1_rq

java.lang.Object

jline.api.qsys.Qsys_gig1_rq

public final class Qsys_gig1_rq
extends Object

Method Summary

Modifier and Type	Method	Description
static double[]	qsys_gig1_rq(double rho, double mu, double cs2, DoubleUnaryOperator IaFun)	Robust Queueing (RQ) approximation for a single G/GI/1 queue.

Methods inherited from class java.lang.Object

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

Method Details

qsys_gig1_rq

public static double[] qsys_gig1_rq(double rho,
 double mu,
 double cs2,
 DoubleUnaryOperator IaFun)

Robust Queueing (RQ) approximation for a single G/GI/1 queue. Implements the mean steady-state workload Z* = sup_{x>=0} { -(1-rho) x + sqrt( 2 rho x (I_a(x) + c2_s) / mu ) } and the derived steady-state performance measures.

Parameters:

rho - traffic intensity lambda/mu (0<rho<1)

mu - service rate

cs2 - service SCV c2_s

IaFun - arrival IDC handle, IaFun(x) -> I_a(x) at time argument x>0

Returns:

array {Z, W, Q, X}: mean workload E[Z], waiting time E[W], queue length E[Q] (waiting + in service), and number in system E[X]