Package jline.api.mam

Class Qbd_rap

java.lang.Object

jline.api.mam.Qbd_rap

public final class Qbd_rap
extends Object

Field Summary

Fields

Modifier and Type	Field	Description
static final int	DEFAULT_NUM_LEVELS	Default number of levels reported when the caller does not choose one.

Method Summary

Modifier and Type	Method	Description
static QbdRapResult	qbd_rap(Matrix A0, Matrix A1, Matrix A2)
static QbdRapResult	qbd_rap(Matrix A0, Matrix A1, Matrix A2, Matrix B0, Matrix B1)
static QbdRapResult	qbd_rap(Matrix A0, Matrix A1, Matrix A2, Matrix B0, Matrix B1, int numLevels)	Equilibrium analysis of a QBD with RAP components.
static Matrix	qbd_rap_g(Matrix A0, Matrix A1, Matrix A2, double blockScale)	Solves A0*G^2 + A1*G + A2 = 0 for the matrix G, using the exact rank-one closed form when A2 has rank one and otherwise functional iteration followed by Newton's method.

Methods inherited from class java.lang.Object

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

Field Details

DEFAULT_NUM_LEVELS

public static final int DEFAULT_NUM_LEVELS

Default number of levels reported when the caller does not choose one.

See Also:

• Constant Field Values

Method Details

qbd_rap

public static QbdRapResult qbd_rap(Matrix A0,
 Matrix A1,
 Matrix A2,
 Matrix B0,
 Matrix B1,
 int numLevels)

Equilibrium analysis of a QBD with RAP components.

Parameters:

A0 - level-up block (m x m)

A1 - local block (m x m)

A2 - level-down block (m x m)

B0 - boundary level-up block, null for A0

B1 - boundary local block, null for A1

numLevels - highest level reported

Returns:

the level distribution, mean queue length, R, G, U, Sp(R) and pi_0

qbd_rap

public static QbdRapResult qbd_rap(Matrix A0,
 Matrix A1,
 Matrix A2,
 Matrix B0,
 Matrix B1)

qbd_rap

public static QbdRapResult qbd_rap(Matrix A0,
 Matrix A1,
 Matrix A2)

qbd_rap_g

public static Matrix qbd_rap_g(Matrix A0,
 Matrix A1,
 Matrix A2,
 double blockScale)

Solves A0*G^2 + A1*G + A2 = 0 for the matrix G, using the exact rank-one closed form when A2 has rank one and otherwise functional iteration followed by Newton's method. Never returns an unconverged iterate.