butools.dmap.SamplesFromDMAP¶

butools.dmap.SamplesFromDMAP()¶

Matlab:	x = SamplesFromDMAP(D0, D1, K, prec)
Mathematica:	x = SamplesFromDMAP[D0, D1, K, prec]
Python/Numpy:	x = SamplesFromDMAP(D0, D1, K, prec)

Generates random samples from a discrete Markovian arrival process.

Parameters:	D0 : matrix, shape (M,M) The D0 matrix of the discrete MAP. D1 : matrix, shape (M,M) The D1 matrix of the discrete MAP. K : integer The number of samples to generate. prec : double, optional Numerical precision to check if the input DMAP is valid. The default value is 1e-14.
Returns:	x : vector, length(K) The vector of random samples (inter-arrival times).

Examples

For Matlab:

>>> D0 = [0, 0.02, 0, 0; 0, 0.17, 0.2, 0.14; 0.16, 0.17, 0.02, 0.18; 0, 0, 0, 0.12];
>>> D1 = [0, 0.88, 0.1, 0; 0.18, 0.07, 0.14, 0.1; 0.13, 0.15, 0.15, 0.04; 0.31, 0.18, 0.12, 0.27];
>>> x = SamplesFromDMAP(D0, D1, 10000);
>>> mt = MarginalMomentsFromTrace(x, 3);
>>> disp(mt);
       1.5171       3.0613       8.3949
>>> mm = MarginalMomentsFromDMAP(D0, D1, 3);
>>> disp(mm);
       1.4955       2.9542       7.8852

For Mathematica:

>>> D0 = {{0, 0.02, 0, 0},{0, 0.17, 0.2, 0.14},{0.16, 0.17, 0.02, 0.18},{0, 0, 0, 0.12}};
>>> D1 = {{0, 0.88, 0.1, 0},{0.18, 0.07, 0.14, 0.1},{0.13, 0.15, 0.15, 0.04},{0.31, 0.18, 0.12, 0.27}};
>>> x = SamplesFromDMAP[D0, D1, 10000];
>>> mt = MarginalMomentsFromTrace[x, 3];
>>> Print[mt];
{1.4932, 2.9154, 7.5202}
>>> mm = MarginalMomentsFromDMAP[D0, D1, 3];
>>> Print[mm];
{1.4955358592094412, 2.9542479654368474, 7.885226907678561}

For Python/Numpy:

>>> D0 = ml.matrix([[0, 0.02, 0, 0],[0, 0.17, 0.2, 0.14],[0.16, 0.17, 0.02, 0.18],[0, 0, 0, 0.12]])
>>> D1 = ml.matrix([[0, 0.88, 0.1, 0],[0.18, 0.07, 0.14, 0.1],[0.13, 0.15, 0.15, 0.04],[0.31, 0.18, 0.12, 0.27]])
>>> x = SamplesFromDMAP(D0, D1, 10000)
>>> mt = MarginalMomentsFromTrace(x, 3)
>>> print(mt)
[1.5088999999999999, 3.0240999999999998, 8.1935000000000002]
>>> mm = MarginalMomentsFromDMAP(D0, D1, 3)
>>> print(mm)
[1.4955358592094412, 2.9542479654368474, 7.885226907678561]