Mmap_sigmaKt

All Implemented Interfaces:


public final class Mmap_sigmaKt

Nested Class Summary

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Field Summary

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Enum Constant Summary

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Method Summary

Modifier and Type	Method	Description
`final static Matrix`	`mmap_sigma(MatrixCell MMAP)`	Computes one-step class transition probabilities for a Marked Markovian Arrival Process (MMAP).
`final static Matrix`	`mmap_sigma(Array<Matrix> mmap)`	Computes one-step class transition probabilities for a Marked Markovian Arrival Process (MMAP).

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

- Constructor Detail
- Method Detail
  - mmap_sigma
```
 final static Matrix mmap_sigma(MatrixCell MMAP)
```
    Computes one-step class transition probabilities for a Marked Markovian Arrival Process (MMAP).
    The function computes the class transition probabilities p_{i,j} = P(C_k = j | C_{k-1} = i), which represent the probability of transitioning from class i to class j in one step.
    For an MMAP with m classes, the algorithm computes: sigma(i,j) = alpha * P_i * P_j * 1 where:
    alpha is the stationary probability vector of the underlying MAP
    P_i = (-D0)^{-1} * D_i is the probability of selecting class i given a transition
    Parameters:
    
    MMAP - the MMAP represented as a MatrixCell where MMAP0 = D0, MMAP1 = aggregate D1, and MMAP2+i = D_{i+1} for i = 0, 1, ...
    
    Returns:
    
    matrix of class transition probabilities where sigma(i,j) is the probability of transitioning from class i to class j
  - mmap_sigma
```
 final static Matrix mmap_sigma(Array<Matrix> mmap)
```
    Computes one-step class transition probabilities for a Marked Markovian Arrival Process (MMAP). Array-based overload for compatibility with functions expecting Array<Matrix>.
    
    Parameters:
    
    mmap - the MMAP represented as Array<Matrix> where mmap0 = D0, mmap1 = D1, mmap2 = D2, ...
    
    Returns:
    
    matrix of class transition probabilities where sigma(i,j) is the probability of transitioning from class i to class j