Constructor Detail

Method Detail

• qsys_mapmc

  @JvmOverloads() final static QsysMapPhResult qsys_mapmc(Matrix D0, Matrix D1, Double mu, Integer c, String mode, Integer maxNumComp, Integer verbose)

  Analyzes a MAP/M/c queue (multi-server with exponential service).

  Uses Q-MAM qCtMapMC which implements the Gaver-Jacobs-Latouche level-dependent QBD approach for MAP/M/c/FCFS queues.

  Parameters:

  D0 - MAP hidden transition matrix (n x n)

  D1 - MAP arrival transition matrix (n x n)

  mu - Exponential service rate

  c - Number of servers

  mode - Solver mode: "SylvesCR" (default), "DirectCR", "SylvesFI", "DirectFI"

  maxNumComp - Maximum number of queue length components (default 1000)

  verbose - Verbosity level (default 0)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_mapmc

  @JvmOverloads() final static QsysMapPhResult qsys_mapmc(Matrix D0, Matrix D1, Double mu, Integer c, String mode, Integer maxNumComp)

  Analyzes a MAP/M/c queue (multi-server with exponential service).

  Uses Q-MAM qCtMapMC which implements the Gaver-Jacobs-Latouche level-dependent QBD approach for MAP/M/c/FCFS queues.

  Parameters:

  D0 - MAP hidden transition matrix (n x n)

  D1 - MAP arrival transition matrix (n x n)

  mu - Exponential service rate

  c - Number of servers

  mode - Solver mode: "SylvesCR" (default), "DirectCR", "SylvesFI", "DirectFI"

  maxNumComp - Maximum number of queue length components (default 1000)

  Returns:

  QsysMapPhResult with performance metrics

• qsys_mapmc

  @JvmOverloads() final static QsysMapPhResult qsys_mapmc(Matrix D0, Matrix D1, Double mu, Integer c, String mode)

  Analyzes a MAP/M/c queue (multi-server with exponential service).

  Uses Q-MAM qCtMapMC which implements the Gaver-Jacobs-Latouche level-dependent QBD approach for MAP/M/c/FCFS queues.

  Parameters:

  D0 - MAP hidden transition matrix (n x n)

  D1 - MAP arrival transition matrix (n x n)

  mu - Exponential service rate

  c - Number of servers

  mode - Solver mode: "SylvesCR" (default), "DirectCR", "SylvesFI", "DirectFI"

  Returns:

  QsysMapPhResult with performance metrics

• qsys_mapmc

  @JvmOverloads() final static QsysMapPhResult qsys_mapmc(Matrix D0, Matrix D1, Double mu, Integer c)

  Analyzes a MAP/M/c queue (multi-server with exponential service).

  Uses Q-MAM qCtMapMC which implements the Gaver-Jacobs-Latouche level-dependent QBD approach for MAP/M/c/FCFS queues.

  Parameters:

  D0 - MAP hidden transition matrix (n x n)

  D1 - MAP arrival transition matrix (n x n)

  mu - Exponential service rate

  c - Number of servers

  Returns:

  QsysMapPhResult with performance metrics

• qsys_mapmc

   final static QsysMapPhResult qsys_mapmc(MatrixCell arrival, Double mu, Integer c)

  Simplified MAP/M/c analysis using MatrixCell input for arrival.

  Parameters:

  arrival - MAP arrival process as MatrixCell D0, D1

  mu - Exponential service rate

  c - Number of servers

  Returns:

  QsysMapPhResult with performance metrics

• qsys_mapm1

   final static QsysMapPhResult qsys_mapm1(Matrix D0, Matrix D1, Double mu)

  Analyzes a MAP/M/1 queue (single server convenience function).

  For single-server queues, this delegates to BUTools via qsys_mapph1 for better performance metrics including sojourn time moments.

  Parameters:

  D0 - MAP hidden transition matrix

  D1 - MAP arrival transition matrix

  mu - Exponential service rate

  Returns:

  QsysMapPhResult with performance metrics

• qsys_phmc

   final static QsysMapPhResult qsys_phmc(Matrix alpha, Matrix T, Double mu, Integer c)

  Analyzes a PH/M/c queue.

  Converts PH arrival process to equivalent MAP and uses Q-MAM.

  Parameters:

  alpha - Arrival PH initial probability vector

  T - Arrival PH generator matrix

  mu - Exponential service rate

  c - Number of servers

  Returns:

  QsysMapPhResult with performance metrics