Package jline.api.pfqn.ld

Class Pfqn_cdfun

java.lang.Object

jline.api.pfqn.ld.Pfqn_cdfun

public final class Pfqn_cdfun
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	pfqn_cdfun(Matrix nvec, List<SerializableFunction<Matrix,Matrix>> cdscaling, int M)	Evaluate class-dependent (CD) scaling function for the first class.
static Matrix	pfqn_cdfun(Matrix nvec, List<SerializableFunction<Matrix,Matrix>> cdscaling, int M, int classIdx)	Evaluate class-dependent (CD) scaling function.

Methods inherited from class java.lang.Object

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

Method Details

pfqn_cdfun

public static Matrix pfqn_cdfun(Matrix nvec,
 List<SerializableFunction<Matrix,Matrix>> cdscaling,
 int M)

Evaluate class-dependent (CD) scaling function for the first class.

Parameters:

nvec - Per-class queue-length values. The values can be continuous.

cdscaling - CD functions indexed by station index, or null if none

M - Number of stations

Returns:

matrix of scaling factors

pfqn_cdfun

public static Matrix pfqn_cdfun(Matrix nvec,
 List<SerializableFunction<Matrix,Matrix>> cdscaling,
 int M,
 int classIdx)

Evaluate class-dependent (CD) scaling function.

Returns, for every station i, the reciprocal of the class-dependent scaling beta_{i,r}(n_i1, ..., n_iR) evaluated at the per-class population vector nvec(i,:), for class r = classIdx.

cdscaling.get(i) is a function of the per-class population vector at station i. It may return either a 1x1 matrix, i.e. a chain-independent scaling beta_i(n) shared by every class (the common case), or a length-R row vector, i.e. the per-class scalings [beta_{i,1}(n), ..., beta_{i,R}(n)], of which element classIdx is taken. The per-class form expresses Sauer's chain-dependent service rates mu_{r,i}(n) (Sauer 1983, "Computational Algorithms for State-Dependent Queueing Networks", eq. (40)), so a single class-dependence mechanism covers both the chain-independent and the chain-specific cases.

A null entry denotes a station with no class dependence and is skipped, leaving the neutral factor 1. Such stations are deliberately not filled with a constant function: under Sauer a constant 1 asserts that every class completes at rate 1, which is not load independence.

Parameters:

nvec - Per-class queue-length values. The values can be continuous.

cdscaling - CD functions indexed by station index, or null if none

M - Number of stations

classIdx - Class index selecting beta_{i,r}

Returns:

matrix of scaling factors