Package jline.api.mam

Class Map_lambdaKt

  • All Implemented Interfaces:

    
    public final class Map_lambdaKt
    
                        
    • Nested Class Summary

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      Modifier and Type Class Description
    • Field Summary

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    • Constructor Summary

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    • Enum Constant Summary

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      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final static Double map_lambda(Matrix D0, Matrix D1) Computes the arrival rate (lambda) of a Markovian Arrival Process (MAP).
      final static Double map_lambda(MatrixCell MAP) Computes the arrival rate (lambda) of a Markovian Arrival Process (MAP) using matrices stored in a MatrixCell.
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Constructor Detail

    • Method Detail

      • map_lambda

         final static Double map_lambda(Matrix D0, Matrix D1)

        Computes the arrival rate (lambda) of a Markovian Arrival Process (MAP).

        The arrival rate is calculated using the hidden (D0) and visible (D1) transition matrices of the MAP. This is done by first determining the steady-state vector (pi) of the CTMC underlying the MAP and then using it to compute the rate at which visible transitions (events) occur.

        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 arrival rate (lambda) of the MAP.

      • map_lambda

         final static Double map_lambda(MatrixCell MAP)

        Computes the arrival rate (lambda) of a Markovian Arrival Process (MAP) using matrices stored in a MatrixCell.

        This is a convenience method that extracts the D0 and D1 matrices from a given MAP stored in a MatrixCell and computes the arrival rate (lambda). The computation involves using the steady-state vector (pi) of the CTMC underlying the MAP and determining the rate of visible transitions.

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

        The arrival rate (lambda) of the MAP.