How to run this statement multiple times and put them in a matrix?

Question

I have the following Mathematica Code.

QueProcess = QueueingProcess[\[Lambda], \[Mu], c, c];
Simplify[QueueProperties[QueProcess], c > 0 && c \[Element] Integers];
NumReq = RandomFunction[QueProcess /. {\[Lambda] -> 1, \[Mu] -> 2, c -> 10}, {0, 9999, 
    1}];
Val = NumReq["Values"];

Note that Val contains 10000 elements.

Now I want to generate a matrix of size 100 X 10000. That is I want to run the following

NumReq = RandomFunction[QueProcess /. {\[Lambda] -> 1, \[Mu] -> 2, c -> 10}, {0, 9999, 
        1}];
Val = NumReq["Values"];

100 times and save the values of each realization as a row in the matrix.

Finally, I need to export to matrix as .mat format to use it in Matlab.

Any suggestions!

Answer 1

Just use Table with an index for Val (I changed 9999 to 99 to make things faster):

 Table[NumReq = 
  RandomFunction[
   QueProcess /. {λ -> 1, μ -> 2, c -> 10}, {0, 99, 1}];
 Val[k] = NumReq["Values"], {k, 1, 100}]

Then Use Table again to get the Val Matrix as an assembly of Rows.

Valmat = Table[Val[k], {k, 1, 100}]

You get the Expected dimensions for Valmat

In[15]:= Dimensions[Valmat]

Out[15]= {100, 100}

Export should work also:

Export["valmat.mat", Valmat]

(I did not check the contents of valmat.mat in Matlab though)

Hope this helps !