There are lots of software development methodologies. This page lists a few, among them waterfall, agile, iterative, rapid, and more. What's been interesting to me is that the process of deciding what to code and then whether it works doesn't change much between different ways of building software.

Instead, the cycle time between when we ask a client what to do and when we deliver it changes. The more agile/lean we are, the lower the cycle time. The more waterfall-ish, the larger the cycle time. I guess that analysis and breakdown of problems into work also changes, as the scope in modern DevOps styles of development is smaller (more contained) than in waterfall.

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