Map_infgenKt

All Implemented Interfaces:


public final class Map_infgenKt

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Method Summary

Modifier and Type	Method	Description
`final static Matrix`	`map_infgen(Matrix D0, Matrix D1)`	Computes the infinitesimal generator matrix (Q) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).
`final static Matrix`	`map_infgen(MatrixCell MAP)`	Computes the infinitesimal generator matrix (Q) 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_infgen
```
 final static Matrix map_infgen(Matrix D0, Matrix D1)
```
    Computes the infinitesimal generator matrix (Q) of the Continuous-Time Markov Chain (CTMC) underlying a Markovian Arrival Process (MAP).
    This function calculates the Q matrix by summing the hidden (D0) and visible (D1) transition matrices of the MAP. The resulting matrix Q represents the infinitesimal generator of the CTMC, which describes the rate of transitions between states.
    
    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 CTMC infinitesimal generator matrix Q.
  - map_infgen
```
 final static Matrix map_infgen(MatrixCell MAP)
```
    Computes the infinitesimal generator matrix (Q) 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 Q matrix. The resulting matrix Q represents the infinitesimal generator of the CTMC, describing the rate of transitions between states.
    
    Parameters:
    
    MAP - The Markovian Arrival Process stored in a MatrixCell, containing the (D0, D1) matrices.
    
    Returns:
    
    The CTMC infinitesimal generator matrix Q.