Using RNG and SIMULINK inside parfor

I have a SIMULINK simulation that I am trying to run using different random numbers each time. I need to run the simulation n times in order to quantify how it behaves under the broad range of random conditions. Each run takes long enough so that all n runs take too long.

I am trying to replace the for loop I have with a parfor loop. The simplified code is shown below.

n = ... % Number of runs I want to do

parfor i = 1:n
    % Run simulation
    sim('model')

    % Store data here
end

The problem I'm running into is the random number generation. I have read through this question and have gotten some idea from it, but it does not solve my problem. The approach with "'Seed','shuffle'" would seed the rng with the current time. While I could save the seed of each individual stream and then run them individually, I don't see how I would be able to rerun the entire parfor loop under the same conditions.

I need:

• A way to run the parfor loop so that each simulation has its own random number generator that will work properly and independently of the other loops.
• A way to set the seed for each of the iterations of the loops so that I can reproduce the entire parfor loop, rather than only single iterations.