Package jline.lib.smc

Class GIM1_ETAQA

java.lang.Object

jline.lib.smc.GIM1_ETAQA

public final class GIM1_ETAQA
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	gim1_pi_etaqa(Matrix Bin, Matrix Ain, Matrix R, Matrix B0in)	Aggregated stationary vector [pi0, pi1, pi2+pi3+...] of a GI/M/1-type chain.
static double	gim1_qlen_etaqa(Matrix Bin, Matrix Ain, Matrix R, Matrix pi, int n, Matrix B0in)	n-th moment of the level of a GI/M/1-type chain from the ETAQA aggregates.
static Matrix	gim1_r_etaqa(Matrix A)	R of a GI/M/1-type chain, uniformized first.

Methods inherited from class java.lang.Object

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

Method Details

gim1_r_etaqa

public static Matrix gim1_r_etaqa(Matrix A)

R of a GI/M/1-type chain, uniformized first. Port of GIM1_R_ETAQA.m. `A` is the VERTICAL stack [A0; A1; ...; Amax], which is how a GI/M/1-type sequence is written; the reference transposes that stack into the horizontal one GIM1_R wants and asks for the automatic dual with functional iterations.

gim1_pi_etaqa

public static Matrix gim1_pi_etaqa(Matrix Bin,
 Matrix Ain,
 Matrix R,
 Matrix B0in)

Aggregated stationary vector [pi0, pi1, pi2+pi3+...] of a GI/M/1-type chain. Port of GIM1_pi_ETAQA.m. B and A are vertical stacks; B0 is the reference's 'Boundary' option (null for the default A0).

gim1_qlen_etaqa

public static double gim1_qlen_etaqa(Matrix Bin,
 Matrix Ain,
 Matrix R,
 Matrix pi,
 int n,
 Matrix B0in)

n-th moment of the level of a GI/M/1-type chain from the ETAQA aggregates. Port of GIM1_qlen_ETAQA.m, including the scalar A(3) defect described in the class comment.