Once you are convinced that standardizing your organization's approach to problem-solving is the best way towards organizational improvement, the next step is to pick a methodology.
ARMS Reliability is one of several companies whose business is to provide training in analytical problem-solving methods. To someone trying to formulate a comparison, the differences can sometimes seem overwhelming.
The best way to discover the right method for your organization is to do your homework. Most credible methodologies have a book or some kind of literature available that describes their process. Read the literature and decide if the method makes sense.
Better yet, attend a training seminar. When you attend a training seminar, you have the ability to test-drive the methodology and challenge the instructor with specific questions from your world. It's your money... whatever you choose needs to work for you. Most of our clients begin by sending an initial group of representatives to one of our public seminars.