If you're not familiar with Genrich Altshuller's Theory of Inventive Problem Solving (aka TRIZ), today might be a good day to check it out.
TRIZ is a fascinating tool set, designed to help people solve a wide range of problems. Initially focused on technical / hardware type challenges, it has since been expanded to apply to everything from software to services.
Of particular interest is the list of 40 Principles, each of which is a known solution to a particular type of problem. The contradiction matrix (pictured) helps you identify which principle is likely to be helpful & relevant to your situation.
For example, Principle 1 is "Segmentation," which involves dividing an object into independent parts. Examples include modular furniture, personal computers (instead of a mainframe) or a Work Breakdown Structure.
The TRIZ40 website has a great little box with dropdown menus to help you navigate the matrix. For example, you may have a situation where you want to increase the strength of a component without increasing the weight. It will automatically pull up the four Principles that typically help in a situation like that.
Like any tool, mastery of TRIZ takes time and effort. But in my opinion, it's well worth examining.