Package jline.api.mam

Class Map_piq

java.lang.Object
jline.api.mam.Map_piq
public final class Map_piq extends Object

  • Method Details

    • map_piq

      public 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

      public 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.