What approach should a team that prioritizes speed and flow over feedback adopt?

A team that prioritizes speed and flow over feedback would benefit from adopting Kanban because this methodology is specifically designed to enhance the flow of work through visualization, limit work in progress, and improve efficiency.

Kanban emphasizes incremental delivery, making it a suitable choice for teams that want to maintain a steady flow of work rather than focusing heavily on iterative feedback loops that can slow down processes. It allows for continuous delivery and enables teams to respond quickly to changes, making it ideal for environments that require speed and adaptability.

In contrast, the Scrum framework emphasizes structured iterations and regular feedback through sprint reviews and retrospectives, which may not align with the desire for purely speed-focused processes. Waterfall methodology is more linear and sequential, which generally does not accommodate rapid changes or continuous flow. Lastly, Extreme Programming, while it focuses on engineering practices and rapid releases, still emphasizes customer feedback and iterative development, which may not align with the team's prioritization of speed and flow alone.

Overall, Kanban’s flexibility, focus on flow, and ability to visualize the workflow uniquely suit teams aiming to prioritize speed and minimize the feedback cycle.