Constructor Detail

Method Detail

• aoi_lst_exp

   final static LstFunction aoi_lst_exp(Double mu)

  Laplace-Stieltjes transform for exponential distribution.

  Returns an LstFunction for the LST of an exponential distribution with rate mu: H*(s) = mu / (mu + s)

  Parameters:

  mu - Rate parameter (mean = 1/mu), must be positive

  Returns:

  LstFunction computing mu / (mu + s)

• aoi_lst_det

   final static LstFunction aoi_lst_det(Double d)

  Laplace-Stieltjes transform for deterministic (constant) distribution.

  Returns an LstFunction for the LST of a deterministic distribution with constant value d: H*(s) = exp(-s * d)

  Parameters:

  d - Constant value, must be positive

  Returns:

  LstFunction computing exp(-s * d)

• aoi_lst_erlang

   final static LstFunction aoi_lst_erlang(Integer k, Double mu)

  Laplace-Stieltjes transform for Erlang distribution.

  Returns an LstFunction for the LST of an Erlang-k distribution with rate parameter mu: H*(s) = (mu / (mu + s))^k

  Parameters:

  k - Shape parameter (number of phases), must be a positive integer

  mu - Rate parameter per phase (mean = k/mu), must be positive

  Returns:

  LstFunction computing (mu / (mu + s))^k

• aoi_lst_ph

   final static LstFunction aoi_lst_ph(Matrix alpha, Matrix T)

  Laplace-Stieltjes transform for phase-type distribution.

  Returns an LstFunction for the LST of a phase-type (PH) distribution with initial probability vector alpha and sub-generator matrix T.

  H*(s) = alpha * (s*I - T)^{-1} * (-T * e)

  where e = ones(n,1) is the vector of ones.

  Parameters:

  alpha - Initial probability row vector (1 x n)

  T - Sub-generator matrix (n x n)

  Returns:

  LstFunction computing alpha * inv(s*I - T) * t