Package jline.api.mam

Class Map2ph

java.lang.Object

jline.api.mam.Map2ph

public final class Map2ph
extends Object

Method Summary

Modifier and Type	Method	Description
static kotlin.Triple<Matrix,Matrix,MatrixCell>	map2ph(MatrixCell MAP)	Converts a MAP to a Phase-Type (PH) distribution.

Methods inherited from class java.lang.Object

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

Method Details

map2ph

public static kotlin.Triple<Matrix,Matrix,MatrixCell> map2ph(MatrixCell MAP)

Converts a MAP to a Phase-Type (PH) distribution. Given a MAP {D0, D1}, extracts the PH distribution (alpha, T) where: - T = D0 (the subgenerator) - alpha = map_pie(MAP) (the embedded steady-state probability vector) Also returns the PH-renewal process PHR = {D0, D1'} where D1' = D1 * ones * alpha, which is a MAP whose inter-arrival times are i.i.d. with the extracted PH distribution.

Parameters:

MAP - a MatrixCell containing {D0, D1}

Returns:

Triple of (alpha, T, PHR) where alpha is the initial probability vector, T is the subgenerator matrix, and PHR is the PH-renewal process as a MatrixCell