butools.dmap.SamplesFromDMMAP¶

butools.dmap.SamplesFromDMMAP()¶

Matlab:	x = SamplesFromDMMAP(D, K, prec)
Mathematica:	x = SamplesFromDMMAP[D, K, prec]
Python/Numpy:	x = SamplesFromDMMAP(D, K, prec)

Generates random samples from a discrete marked Markovian arrival process.

Parameters:	D : list of matrices of shape(M,M), length(N) The D0...DN matrices of the DMMAP K : integer The number of samples to generate. prec : double, optional Numerical precision to check if the input DMMAP is valid. The default value is 1e-14.
Returns:	x : matrix, shape(K,2) The random samples. Each row consists of two columns: the (discrete) inter-arrival time and the type of the arrival.

Examples

For Matlab:

>>> D0 = [0.34, 0, 0; 0.06, 0.05, 0.03; 0.11, 0.13, 0];
>>> D1 = [0.3, 0, 0; 0.16, 0.18, 0.05; 0.15, 0.04, 0.09];
>>> D2 = [0, 0.01, 0; 0.1, 0.07, 0.08; 0.13, 0.12, 0.13];
>>> D3 = [0.35, 0, 0; 0, 0.18, 0.04; 0.06, 0.03, 0.01];
>>> Dm = {D0, D1, D2, D3};
>>> x = SamplesFromDMMAP(Dm, 10000);
>>> mt = MarginalMomentsFromTrace(x(1:end, 1), 3);
>>> disp(mt);
       1.4997       2.9869       8.1363
>>> mm = MarginalMomentsFromDMMAP(Dm, 3);
>>> disp(mm);
       1.5037       3.0278       8.4243

For Mathematica:

>>> D0 = {{0.34, 0, 0},{0.06, 0.05, 0.03},{0.11, 0.13, 0}};
>>> D1 = {{0.3, 0, 0},{0.16, 0.18, 0.05},{0.15, 0.04, 0.09}};
>>> D2 = {{0, 0.01, 0},{0.1, 0.07, 0.08},{0.13, 0.12, 0.13}};
>>> D3 = {{0.35, 0, 0},{0, 0.18, 0.04},{0.06, 0.03, 0.01}};
>>> Dm = {D0, D1, D2, D3};
>>> x = SamplesFromDMMAP[Dm, 10000];
>>> mt = MarginalMomentsFromTrace[x[[1;;-1, 1]], 3];
>>> Print[mt];
{1.5045000000000002, 3.0355000000000003, 8.4693}
>>> mm = MarginalMomentsFromDMMAP[Dm, 3];
>>> Print[mm];
{1.503697331491185, 3.027841857350894, 8.424305390832199}

For Python/Numpy:

>>> D0 = ml.matrix([[0.34, 0, 0],[0.06, 0.05, 0.03],[0.11, 0.13, 0]])
>>> D1 = ml.matrix([[0.3, 0, 0],[0.16, 0.18, 0.05],[0.15, 0.04, 0.09]])
>>> D2 = ml.matrix([[0, 0.01, 0],[0.1, 0.07, 0.08],[0.13, 0.12, 0.13]])
>>> D3 = ml.matrix([[0.35, 0, 0],[0, 0.18, 0.04],[0.06, 0.03, 0.01]])
>>> Dm = [D0, D1, D2, D3]
>>> x = SamplesFromDMMAP(Dm, 10000)
>>> mt = MarginalMomentsFromTrace(x[:, 0], 3)
>>> print(mt)
[1.5124, 3.0524, 8.4244000000000003]
>>> mm = MarginalMomentsFromDMMAP(Dm, 3)
>>> print(mm)
[1.503697331491185, 3.0278418573508938, 8.424305390832199]