Package jline.io

Class Ret.pfqnSensMom

java.lang.Object

jline.io.Ret.pfqnSensMom

Enclosing class:

Ret

public static class Ret.pfqnSensMom
extends Object

Result type for the exact higher moments (up to order three) of the queue lengths of each CLASS GROUP at each station of a closed product-form network, computed by Pfqn_sens_mom.

The parameter differentiated scales the demands L(i,r) of every class r of one group g at station i, so the moments it generates are those of Q_(i,g) = sum_(r in g) n(i,r). That is Theorem 1 of Akyildiz and Strelen with the class subset T; Strelen's own x_i, the reciprocal capacity of station i scaling the WHOLE demand column, is the special case T = all classes, which the default groups = ones(1,R) selects and which reports per-station totals. groups = 1..R instead puts one class per group and reports genuinely PER-CLASS moments, including the third; its second moments coincide exactly with Ret.pfqnSensMva's QVar.

Reference: J. C. Strelen, "Moment Analysis for Closed Queuing Networks and its Linearizer", Performance Evaluation 11:127-142, 1990, Theorems 2.1, 3.1, 3.2, 3.5 and equation (3.2); I. F. Akyildiz and J. C. Strelen, "Moment Analysis for Load-Dependent Mixed Product Form Queueing Networks", IEEE Trans. Communications 39(6):828-832, 1991, Theorem 1.

Field Summary

Fields

Modifier and Type	Field	Description
Matrix	Cov
double	CovAsym
Matrix[][]	CovG
Matrix	d2m
Matrix	dm
Matrix[][]	dmG
int	G
Matrix	m
Matrix	M2
Matrix	M3
Matrix	Q
Matrix	R
Matrix	Skew
Matrix	U
Matrix	Var
Matrix	X

Constructor Summary

Constructors

Constructor	Description
pfqnSensMom(Matrix X, Matrix Q, Matrix U, Matrix R, int G, Matrix m, Matrix dm, Matrix[][] dmG, Matrix d2m, Matrix Var, Matrix Cov, Matrix[][] CovG, Matrix M2, Matrix M3, Matrix Skew, double CovAsym)

Method Summary

Methods inherited from class java.lang.Object

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

Field Details

X

public Matrix X

Q

public Matrix Q

U

public Matrix U

R

public Matrix R

G

public int G

m

public Matrix m

d2m

public Matrix d2m

Var

public Matrix Var

M2

public Matrix M2

M3

public Matrix M3

Skew

public Matrix Skew

Cov

public Matrix Cov

dm

public Matrix dm

CovG

public Matrix[][] CovG

dmG

public Matrix[][] dmG

CovAsym

public double CovAsym

Constructor Details

pfqnSensMom

public pfqnSensMom(Matrix X,
 Matrix Q,
 Matrix U,
 Matrix R,
 int G,
 Matrix m,
 Matrix dm,
 Matrix[][] dmG,
 Matrix d2m,
 Matrix Var,
 Matrix Cov,
 Matrix[][] CovG,
 Matrix M2,
 Matrix M3,
 Matrix Skew,
 double CovAsym)