Package jline.api.mam

Class Map_prob

java.lang.Object

jline.api.mam.Map_prob

public final class Map_prob
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	map_prob(MatrixCell MAP)	Computes the equilibrium distribution of the underlying continuous-time Markov chain for a MAP.
static Matrix	map_prob(Matrix D0, Matrix D1)	Computes the equilibrium distribution of the underlying continuous-time Markov chain for a MAP.

Methods inherited from class java.lang.Object

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

Method Details

map_prob

public static Matrix map_prob(MatrixCell MAP)

Computes the equilibrium distribution of the underlying continuous-time Markov chain for a MAP. This function calculates the steady-state probabilities of the continuous-time Markov chain underlying a Markovian Arrival Process (MAP). The equilibrium distribution is computed by solving the system Q*pi = 0, where Q = D0 + D1 is the infinitesimal generator matrix.

Parameters:

MAP - The Markovian Arrival Process stored in a MatrixCell, containing the (D0, D1) matrices

Returns:

The equilibrium distribution as a Matrix (row vector)

map_prob

public static Matrix map_prob(Matrix D0,
 Matrix D1)

Computes the equilibrium distribution of the underlying continuous-time Markov chain for a MAP. This function calculates the steady-state probabilities of the continuous-time Markov chain underlying a Markovian Arrival Process (MAP) given the D0 and D1 matrices directly.

Parameters:

D0 - The hidden transition matrix of the MAP

D1 - The visible transition matrix of the MAP

Returns:

The equilibrium distribution as a Matrix (row vector)