Reading this very interesting article, I asked myself some questions about the mathematical aspects behind this optimization problem. What is the objective function? I mean, what do we want to optimize? Total time, max acceleration…?

Which constraints are there in this problem, aside from the max acceleration and the 3 feet rule?

The problem is, I really don’t understand how to modelize this problem…

*Minimize time given bound on acceleration. — fm*

…first to third should be symmetrical, just like home to second. Second to home should bulge out between second and third.

From: “Lawson, Andrew D”

Date: Tue, 22 Jul 2014 06:49:22 -0500

Thank you Frank. That makes a lot of sense to me.

For most of my career, until 2 outs, the base runner at second base was taught to take his lead in the base line. This last season, we taught our players to always take their lead at second base ~10 feet deep (depending on player’s speed and strength), outside of the base line. Our thought was to simply start the base runner on the bulging arc that we are talking about. We were much more efficient scoring base runners at second base this season, and I think this small adjustment played a big role.

]]>*Faster just in final sprint. Mostly theory, some testing.*—fm

*Interestingly enough, the best path is exactly the same regardless of the size of the diamond on the maximal acceleration of the baserunners. (Slower runners should follow exactly the same path, although it will take them longer than faster runners.)*—fm