tag:blogger.com,1999:blog-4270166522451627192.post3948424869863235909..comments2024-08-15T08:33:05.301+01:00Comments on F1 Data Junkie: Tyre Strategy: First Guess at a Strategy ModelUnknownnoreply@blogger.comBlogger3125tag:blogger.com,1999:blog-4270166522451627192.post-53316091975568240342011-07-21T23:13:18.321+01:002011-07-21T23:13:18.321+01:00@rafael I think you're right about there being...@rafael I think you're right about there being the possibility of different tyre models, such as the exponential model you suggest. I gues there mat also be a weight effect, which could be accommodated via a weight parameter in the tyre model. I think I need to look again at Ian Horlock's thesis to see what tyre model he used [ http://www.enm.bris.ac.uk/teaching/projects/2008_09/ih5137/ ]?Tony Hirsthttps://www.blogger.com/profile/07192476380420213082noreply@blogger.comtag:blogger.com,1999:blog-4270166522451627192.post-70305376311153269332011-07-21T09:14:26.291+01:002011-07-21T09:14:26.291+01:00I had been trying to do a similar tyre strategy mo...I had been trying to do a similar tyre strategy model as well, but I took a different approach.<br /><br />I firstly assumed an "ideal lap" time. This would be the fastest possible time with the perfect tyres and no fuel on board.<br /><br />I then assumed that the time added to each lap due to a worsening tyre grew exponentially with the number of laps ran. Hence, I planned two exponential curves (one for primes and one for options).<br /><br />Lastly, I considered the weight effect of the fuel in the race, and added a given set of time to each lap.<br /><br />For a one stop strategy, I looped the equations much like your code; so for every possible lap to pit, I had a different overall race time time.<br /><br />I then tried different order of tyres and compared the values. I am now trying to loop the entire analysis so it could consider using all 7 tyres instead.<br /><br />I am sure your tyre model must be more accurate than mine, but to make sure it worked, I tried to keep it simple.<br /><br />I think the deal breaker is the weight effect of the on-board fuel. For example,for your two stop strategies, as you were either using two H and one S or two S and one H, you only got two different overall race times: independent of the order you changed the tyres.<br /><br />To follow on what Tony Hirst commented, this model only works around the overall racing time, and how to make is as short as possible with absolutely no impact of other incidences on the track (such as traffic, others pitting, race order, weather, driver concentration/mistake, yellow flags, etc...). To model all that, you would need a whole new consideration of "added time" in each lap. In other words, it is simply racing against the clock, rather than against the others on the track.Rafael Moraesnoreply@blogger.comtag:blogger.com,1999:blog-4270166522451627192.post-21953346691832316452011-07-10T14:16:51.116+01:002011-07-10T14:16:51.116+01:00To think about: /undercut/ strategy: if tyre advan...To think about: /undercut/ strategy: if tyre advantage for swithcing to new tyres is A seconds and car is within A seconds of car ahead (or some function depending on guesstimated number of laps before car ahead will be willing to pit), pitting first may give the undercut?Tony Hirsthttps://www.blogger.com/profile/07192476380420213082noreply@blogger.com