While this relates to F1 and other race categories, I thought it may be better to post here in a less "specific" forum. This may have been asked previously but when searching for "strategy" or "race strategy" the posts are generic in nature. I am hoping to understand things more thoroughly.
I recently completed a class for Management Science and we covered a specific type of problem called a "transportation problem". The idea is that you use a series of things you know (cost, inventory, location, transportation duration, etc) to calculate the the most efficient (or lowest cost) method of getting stuff from point A to an end point using these intermediary factors. My thought the entire time was I wondered if this type of analysis is the type of analysis that racing teams do when looking at strategy? At a higher level I was fascinated that some of the constraints used in a transportation problem are identical to the constraints in a race strategy discussion.
So, teams have a set of known as well as well calculated estimates; max fuel, estimated lap time, race distance or duration, fuel effect, tire deg effect, etc. They also likely have some statistical assumptions about probability of a safety car, probability of weather related events, and the like.
How do they use their known items, their estimates and their best guesses to evaluate their best strategy options? What are the tools or techniques they use to evaluate these strategies?
In other words, what specifically does this guy (https://www.youtube.com/watch?v=9aCv0c483jE) use to analyze the best options leading up to a race.