Map_piqKt

All Implemented Interfaces:


public final class Map_piqKt

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Method Summary

Modifier and Type	Method	Description
`final static Matrix`	`map_piq(Matrix D0, Matrix D1)`	Computes the steady-state vector (pi) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).
`final static Matrix`	`map_piq(MatrixCell MAP)`	Computes the steady-state vector (pi) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
- Method Detail
  - map_piq
```
 final static Matrix map_piq(Matrix D0, Matrix D1)
```
    Computes the steady-state vector (pi) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).
    This function calculates the steady-state distribution of the CTMC by solving for the stationary distribution of the infinitesimal generator matrix Q, which is obtained by summing the hidden (D0) and visible (D1) transition matrices.
    
    Parameters:
    
    D0 - The hidden transition matrix of the MAP, representing transitions without visible events.
    
    D1 - The visible transition matrix of the MAP, representing transitions with visible events.
    
    Returns:
    
    The steady-state vector (pi) of the CTMC.
  - map_piq
```
 final static Matrix map_piq(MatrixCell MAP)
```
    Computes the steady-state vector (pi) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).
    This is a convenience method that extracts the D0 and D1 matrices from a given MAP stored in a MatrixCell and computes the steady-state distribution of the CTMC by solving for the stationary distribution of the infinitesimal generator matrix Q.
    
    Parameters:
    
    MAP - The Markovian Arrival Process stored in a MatrixCell, containing the (D0, D1) matrices.
    
    Returns:
    
    The steady-state vector (pi) of the CTMC.