Package jline.api.mam

Class Mmap_sigma2Kt

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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 Array<Array<DoubleArray>> mmap_sigma2(MatrixCell mmap) Computes two-step class transition probabilities for a Markovian Arrival Process (MMAP).
      final static MatrixCell mmap_sigma2_cell(MatrixCell mmap) Computes two-step class transition probabilities for a Markovian Arrival Process (MMAP).

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

    • Constructor Detail

    • Method Detail

      • mmap_sigma2

         final static Array<Array<DoubleArray>> mmap_sigma2(MatrixCell mmap)

        Computes two-step class transition probabilities for a Markovian Arrival Process (MMAP).

        This function calculates the 3D matrix of class-transition probabilities: p_{i,j,h} = P(C_k = h | C_{k-1} = j , C_{k-2} = i)

        The computation follows the algorithm from the MATLAB implementation:

        • Compute the steady-state probability vector using map_pie

        • For each class combination (i,j,h), compute the conditional probability

        • Use matrix inversions to compute the transition probabilities

        Parameters:
        mmap - the MMAP represented as a MatrixCell containing {D0, D1, D2, ...
        Returns:

        a 3D array (Matrix[][][]) of class-transition probabilities

      • mmap_sigma2_cell

         final static MatrixCell mmap_sigma2_cell(MatrixCell mmap)

        Computes two-step class transition probabilities for a Markovian Arrival Process (MMAP).

        This overload returns the result as a MatrixCell where each matrix represents the transition probabilities for a specific initial class.

        Parameters:
        mmap - the MMAP represented as a MatrixCell containing {D0, D1, D2, ...
        Returns:

        a MatrixCell containing the class-transition probability matrices