Whichever method you use, the key is to start with lots of ideas to prune from.

Whether working alone or in a group the pressure of coming up with a “good idea” substantially raises the personal risk for the people in coming up with seminal solution. In the pursuit of efficiency we may compromise effectiveness!

Generating Good Ideas is a two step process Step 1: Generate lots of ideas. and Step 2: After generating a lot of ideas, set aside the ones that are not opportunities for you now. See https://Generate-good-ideas-the-worst-thing-you-can-do