« previous next » Print Pages: 1 2 3 ... 5 Author Topic: How I work out the car allocation (Read 42905 times) Wally Administrator Hero Member Posts: 11033 Karma: 152 AC Admin How I work out the car allocation « on: October 03, 2014, 09:01:41 PM » Grab some popcorn and settle back...Firstly, I averaged the world record times on RSR rank for each of the cars at a good variety of tracks. Then I scaled all the averages in relation to the Exige 240R S3, out of 100, so I could get a percentage of how much slower each car was than the Exige 240R S3. You have to use a percentage like this, to account for different length tracks, like Magione to Nords. This is something I used with the NKP ballast calculations. For example, on Nords a 24 second difference in lap times means you have to slow a car down by 5% of the lap time, while a 3 second gap at Magione is also a 5% slowdown. You'd end up with the same car with these gaps, because it's the same percentage.So now I have a ranking of all the cars. This is how much slower each car is than the Exige 240R s3, in seconds, over 100 seconds. Exige 240R s30Evora S S20.5Exige Scura0.6Exige S Roadster1M3 E92 Step 11.4Evora S1.7Exige 240R1.8M3 E921.9BMW 1M2.4Elise SC S22.7Elise SC S13.1Elise SC3.4Z4 E89 S15Z4 E896.4At the end of each round, I average each driver's fastest laps in each race. If a driver only completed a few laps before DNF'ing, say, that race is excluded. I then toss out anyone who's average is way off the others, so the results don't get skewed.Then I scale those average fastest lap times so that the slowest is 100 seconds, to account for different length tracks as explained above, so I can work out what percentage each car is slower.I might get numbers like this: Flattop100.000Grubbet98.293Dave O98.080Schmittez97.835Phil97.452GWyar97.427RPM97.412Rob [Team MRT]97.280Bacchulum97.243Imperious97.236Peter Reid97.013Krahl96.937Vipergod [Team MRT]96.928Dick Forrest [CramDick Racing]96.761Enforcer-J96.709Guybrush Threepwood [Achilles Heels]96.534Freezer96.520EdWood96.476Wally [TKO Racing]96.418Ysu [TKO Racing]96.008Marty [Achilles Heels]95.573Mopz95.444Then I take the median of those times - the number where half the lap times are slower and half are faster. This is 96.98 in the example above. Anyone who was faster than 96.98 secs needs a slower car; anyone who was slower than 96.98 secs needs a faster car.So in the example above, Phil needs a car which is 97.452 - 96.98 = 0.48 seconds slower than the car he currently has. He got that lap time in a BMW 1M, so he needs a car which is 0.48 seconds slower than a BMW 1M, which in that first table is the Exige 240R (the real calculation uses more decimal places than the rounded numbers I've shown here).Another example: Mopz needs a car which is 95.444 - 96.98= 1.53 seconds slower than his Exige 240R. From the first table, this gives him the Elise SC S1.Looking at the car rank above, you can see why lots of people end up in the Elise SC. Once you need a car that's between 3.4 (Elise SC) and 5 (Z4 E89 S1) seconds slower, which is quite a large gap compared to the other car differences, you end up in the Elise SC zone. Logged “You can please some of the people all of the time, you can please all of the people some of the time, but you can’t please all of the people all of the time” Bacchulum RestrictedRacing Hero Member Posts: 3403 Karma: 96 Re: How I work out the car allocation « Reply #1 on: October 03, 2014, 09:20:04 PM » If you use a Taylor Series and an Exponential mapping you can refine the result by an order of magnitudes. But that would make no difference as the car differences are set. Logged 2+2=√16 Guybrush Threepwood Hero Member Posts: 2133 Karma: 69 Re: How I work out the car allocation « Reply #2 on: October 03, 2014, 09:28:49 PM » Seems fairly solid to me.The only thing I can't figure out is how so many people of varying abilities end up in the standard Lotus when it is only 3 tenths on average quicker than the S1? Logged Wally Administrator Hero Member Posts: 11033 Karma: 152 AC Admin Re: How I work out the car allocation « Reply #3 on: October 03, 2014, 09:43:59 PM » Quote from: Bacchulum on October 03, 2014, 09:20:04 PMIf you use a Taylor Series and an Exponential mapping you can refine the result by an order of magnitudes. But that would make no difference as the car differences are set. Coming from Aleph Null, I have no idea what you're talking about Quote from: Guybrush Threepwood on October 03, 2014, 09:28:49 PMThe only thing I can't figure out is how so many people of varying abilities end up in the standard Lotus when it is only 3 tenths on average quicker than the S1?I suppose the slice between the SC and the S1 is small, only 0.3 seconds, yet we still have ended up with 3 guys in that car. Logged “You can please some of the people all of the time, you can please all of the people some of the time, but you can’t please all of the people all of the time” Guybrush Threepwood Hero Member Posts: 2133 Karma: 69 Re: How I work out the car allocation « Reply #4 on: October 03, 2014, 10:16:47 PM » Quote from: Wally on October 03, 2014, 09:43:59 PMQuote from: Bacchulum on October 03, 2014, 09:20:04 PMIf you use a Taylor Series and an Exponential mapping you can refine the result by an order of magnitudes. But that would make no difference as the car differences are set. Coming from Aleph Null, I have no idea what you're talking about Quote from: Guybrush Threepwood on October 03, 2014, 09:28:49 PMThe only thing I can't figure out is how so many people of varying abilities end up in the standard Lotus when it is only 3 tenths on average quicker than the S1?I suppose the slice between the SC and the S1 is small, only 0.3 seconds, yet we still have ended up with 3 guys in that car.Aren't there 6 guys in that car for Silverstone? Logged Wally Administrator Hero Member Posts: 11033 Karma: 152 AC Admin Re: How I work out the car allocation « Reply #5 on: October 03, 2014, 11:17:09 PM » I meant the S1. Logged “You can please some of the people all of the time, you can please all of the people some of the time, but you can’t please all of the people all of the time” Bruce Global Moderator Hero Member Posts: 3440 Karma: 76 "Look out, I'm comin' through!" Re: How I work out the car allocation « Reply #6 on: October 04, 2014, 10:13:19 AM » Impressive on many levels Wally. Thanks. Logged "I refuse to be what you call normal." Lemmy Caution Wally Administrator Hero Member Posts: 11033 Karma: 152 AC Admin Re: How I work out the car allocation « Reply #7 on: October 04, 2014, 10:58:04 AM » Quote from: Flattop Bruce on October 04, 2014, 10:13:19 AMImpressive on many levels Wally. Thanks.Thanks. I've been thinking about these things for many years now Logged “You can please some of the people all of the time, you can please all of the people some of the time, but you can’t please all of the people all of the time” Bird Administrator Hero Member Posts: 2318 Karma: -666 Ysu Re: How I work out the car allocation « Reply #8 on: October 04, 2014, 12:52:54 PM » Thanks, Wally, I've actually enjoyed reading this! I thought it might be something like this - but I've certainly not systemised it. Great job!And I've got no idea what Bacchulum is talking about, either Logged Bacchulum RestrictedRacing Hero Member Posts: 3403 Karma: 96 Re: How I work out the car allocation « Reply #9 on: October 04, 2014, 02:02:25 PM » You convert your function into an infinite sum, then take the derivative of those terms.That's your Taylor Series. The exponential mapping was a joke. Logged 2+2=√16 Wally Administrator Hero Member Posts: 11033 Karma: 152 AC Admin Re: How I work out the car allocation « Reply #10 on: October 04, 2014, 03:08:47 PM » Quote from: Bacchulum on October 04, 2014, 02:02:25 PMYou convert your function into an infinite sum, then take the derivative of those terms.That's your Taylor Series. The exponential mapping was a joke. Right. Gotcha now.Not.It's ringing vague bells from my uni days. Logged “You can please some of the people all of the time, you can please all of the people some of the time, but you can’t please all of the people all of the time” Bacchulum RestrictedRacing Hero Member Posts: 3403 Karma: 96 Re: How I work out the car allocation « Reply #11 on: October 04, 2014, 04:10:41 PM » I never did uni.I just read maths for fun. Logged 2+2=√16 Freezer RestrictedRacing Hero Member Posts: 1296 Karma: 33 Re: How I work out the car allocation « Reply #12 on: October 04, 2014, 04:17:42 PM » Quote from: Bacchulum on October 04, 2014, 04:10:41 PMI just read maths for fun. Well its just getting a little weird now....! Logged marty Hero Member Posts: 3747 Karma: -63 Re: How I work out the car allocation « Reply #13 on: October 04, 2014, 05:55:07 PM » Looks like you have done all the research Wally great effort thanks for that. I still think more could be done to balance the front end of the field especially all those in the elise sc in both last round and this round. I wonder if balancing vs the fastest and also others in the same car to some extent may be better then the medium or the slowest person.Krahl Elise SC Elise SC 96.937Guybrush Threepwood [Achilles Heels] Z4 E89 S1 Z4 E89 S1 96.534Freezer Elise SC Elise SC 96.520EdWood Elise SC Elise SC 96.476Wally [TKO Racing] Elise SC Elise SC 96.418Ysu [TKO Racing] Elise SC Elise SC 96.008Marty [Achilles Heels] Elise SC Elise SC 95.573Between me and Krahl there was 1.34 seconds and so even if you gave him a boost to a 1M that is 1 second and a e92 would be 1.5 seconds so it would bring our lap times much closer. Even Guybrush in the z4 is 1 second off my pace and he was on it pretty much all the way so he doesnt really have a chance if we have these 2 cars against each other for outright race pace.Exige 240R s3 0Evora S S2 0.5Exige Scura 0.6Exige S Roadster 1M3 E92 Step 1 1.4Evora S1 .7Exige 240R 1.8M3 E92 1.9BMW 1M 2.4Elise SC S2 2.7Elise SC S1 3.1Elise SC 3.4Z4 E89 S1 5Z4 E89 6.4I still think the z4 has too large a gap to the next car so its not a great option as If Guy and me were both in this wed still be about .6 off Bird but as Im slower then Guy id be more like 1 second slower then Bird and .5 off Guy.So the way Id see it is it would be better if say both me and Guy were in the SC or even just have him in the SC and me in the s1, then have all others in cars that would closest match Guys pace which is probably the one quickest if you compare his car and lap pace. He was in a car 1.6 slower then me but was only 1 sec slower so I should really have around .6 or .5 on him and then base everyone in a car that would closest match guys pace.What do you think of that way of dealing with it Wally? Logged Gratulin Hero Member Posts: 2159 Karma: 44 Re: How I work out the car allocation « Reply #14 on: October 04, 2014, 06:11:24 PM » Ballast! Logged Print Pages: 1 2 3 ... 5 « previous next » Xtreme Gaming Network / Simulation Racing Leagues / Assetto Corsa / Australian Assetto Corsa League, Tuesday nights (Moderator: Wally) / How I work out the car allocation