Here's the first question, lifted from a comment I posted earlier today on James Allen's F1 blog.
In response to a quip of the sort JA makes in many of his strategy briefings ("[m]any had planned to do the race on a two-stop strategy, which on paper was eight seconds faster than a three-stop, assuming you had a trouble-free run in traffic"), my question is this:
Is there anywhere that shows the working for this sort of calculation? I'm thinking of something like the refuelling strategy calculation that McLaren published as part of an outreach project a few years ago.
With the case of refuelling, it's easy enough to demonstrate that the optimal strategy when it comes to refuelling, all other things being equal, is not to start the race with a full fuel load, but instead incur a pitstop penalty in lieu of the time penalty incurred by lugging around a dead weight of fuel for much of the duration of the race.
With no refuelling, the time gains that are used to offset the pit stop losses must come from reducing some other time penalty, which can only leave the tyres as the dominant responsible factor (all other things being equal). In particular, there are presumably two tyre models to be taken into account, one for each sort of tyre that has to be used during the race.
Ian Horlock's Bristol University Masters thesis on Prediction of Formula One Results Using Driver Characteristics had something to say about tyre models I think, so I should probably read through that thesis again (and pay more attention this time!)
If you can describe the model that justifies James Allen's claim that the optimal strategy for Valencia was a two stopper, and also show that it was predicted at 8 seconds faster than a three stopper, either in the comments or via a link to worked description elsewhere, I'd be keen to see it...:-)
PS here are some possible relevant references (I haven't had chance to check them out yet, and apologise in advance for them being links to commercial publications (though you'll probably be able to get them free if you're a student or work for a university, and may even be able to get them though a public library; free downloads of the papers may also be available - I'll add links if I find them)
- The 2007 IEEE CEC simulated car racing competition, Julian Togelius, Simon Lucas, Ho Duc Thang, Jonathan M. Garibaldi, Tomoharu Nakashima, Chin Hiong Tan, Itamar Elhanany, Shay Berant, Philip Hingston and Robert M. MacCallum, et al. GENETIC PROGRAMMING AND EVOLVABLE MACHINES Volume 9, Number 4, 295-329, DOI: 10.1007/s10710-008-9063-0
- Planning Formula One race strategies using discrete-event simulation,Bekker, J; Lotz, W. Journal of the Operational Research Society, Volume 60, Number 7, May 2009 , pp. 952-961(10)