I recalled now that you actually provided a model instance for me earlier in this thread.
I ran that model now again without stochastics, and saw from the results that there were many dummy import flows, and even in large amounts, see attached picture below. As I am sure you know, dummy import flows signify infeasibilities in your model. If you follow good practices, you should of course eliminate them. And when that has been done, the model is truly feasible and the dummy import processes can then be disabled.
If your model still has such infeasibilities, I am not surprised that your model does not solve well under elastic demands. So, I would suggest to follow good practices and eliminate those infeasibilities, and then disable the dummy import processes to make sure your prices remain stable throughout the solution process.
I ran that model now again without stochastics, and saw from the results that there were many dummy import flows, and even in large amounts, see attached picture below. As I am sure you know, dummy import flows signify infeasibilities in your model. If you follow good practices, you should of course eliminate them. And when that has been done, the model is truly feasible and the dummy import processes can then be disabled.
If your model still has such infeasibilities, I am not surprised that your model does not solve well under elastic demands. So, I would suggest to follow good practices and eliminate those infeasibilities, and then disable the dummy import processes to make sure your prices remain stable throughout the solution process.