Constructor Detail

Method Detail

• qsys_phph1

  @JvmOverloads() final static QsysMapPhResult qsys_phph1(Matrix alpha, Matrix T, Matrix beta, Matrix S, Integer numQLMoms, Integer numQLProbs, Integer numSTMoms)

  Analyzes a PH/PH/1 queue.

  Uses BUTools MMAPPH1FCFS by converting the arrival PH to an equivalent Markovian Arrival Process. The PH renewal process is embedded as a MAP where arrivals occur at PH absorption epochs.

  Parameters:

  alpha - Arrival PH initial probability vector (1 x n)

  T - Arrival PH generator matrix (n x n)

  beta - Service PH initial probability vector (1 x m)

  S - Service PH generator matrix (m x m)

  numQLMoms - Number of queue length moments to compute (default 3)

  numQLProbs - Number of queue length probabilities to compute (default 100)

  numSTMoms - Number of sojourn time moments to compute (default 3)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phph1

  @JvmOverloads() final static QsysMapPhResult qsys_phph1(Matrix alpha, Matrix T, Matrix beta, Matrix S, Integer numQLMoms, Integer numQLProbs)

  Analyzes a PH/PH/1 queue.

  Uses BUTools MMAPPH1FCFS by converting the arrival PH to an equivalent Markovian Arrival Process. The PH renewal process is embedded as a MAP where arrivals occur at PH absorption epochs.

  Parameters:

  alpha - Arrival PH initial probability vector (1 x n)

  T - Arrival PH generator matrix (n x n)

  beta - Service PH initial probability vector (1 x m)

  S - Service PH generator matrix (m x m)

  numQLMoms - Number of queue length moments to compute (default 3)

  numQLProbs - Number of queue length probabilities to compute (default 100)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phph1

  @JvmOverloads() final static QsysMapPhResult qsys_phph1(Matrix alpha, Matrix T, Matrix beta, Matrix S, Integer numQLMoms)

  Analyzes a PH/PH/1 queue.

  Uses BUTools MMAPPH1FCFS by converting the arrival PH to an equivalent Markovian Arrival Process. The PH renewal process is embedded as a MAP where arrivals occur at PH absorption epochs.

  Parameters:

  alpha - Arrival PH initial probability vector (1 x n)

  T - Arrival PH generator matrix (n x n)

  beta - Service PH initial probability vector (1 x m)

  S - Service PH generator matrix (m x m)

  numQLMoms - Number of queue length moments to compute (default 3)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phph1

  @JvmOverloads() final static QsysMapPhResult qsys_phph1(Matrix alpha, Matrix T, Matrix beta, Matrix S)

  Analyzes a PH/PH/1 queue.

  Uses BUTools MMAPPH1FCFS by converting the arrival PH to an equivalent Markovian Arrival Process. The PH renewal process is embedded as a MAP where arrivals occur at PH absorption epochs.

  Parameters:

  alpha - Arrival PH initial probability vector (1 x n)

  T - Arrival PH generator matrix (n x n)

  beta - Service PH initial probability vector (1 x m)

  S - Service PH generator matrix (m x m)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phph1

   final static QsysMapPhResult qsys_phph1(MatrixCell arrival, MatrixCell service)

  Simplified PH/PH/1 analysis using MatrixCell inputs.

  Parameters:

  arrival - PH arrival process as MatrixCell alpha, T or T with uniform alpha

  service - PH service process as MatrixCell beta, S or S with uniform beta

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phm1

   final static QsysMapPhResult qsys_phm1(Matrix alpha, Matrix T, Double mu)

  Analyzes a PH/PH/1 queue with exponential service (simplified E/M/1).

  Parameters:

  alpha - Arrival PH initial probability vector

  T - Arrival PH generator matrix

  mu - Exponential service rate

  Returns:

  QsysMapPhResult with performance metrics