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Thursday, May 21, 2015

2015 Indianapolis 500 Pre-Race Strategy Guide

Pit strategy can play a major role in determining who wins a race.  This year, I will analyze yellow flag and pit stop history at each track to see if trends exist in the timing and/or frequency of cautions.  If trends do exist, a clever strategist might be able to gain his/her driver a few extra positions on the track by pitting at the correct time.

Caution Breakdown for Indianapolis 500

Lap200920102011201220132014
1Yellow 1Yellow 1



2Yellow 1Yellow 1



3Yellow 1Yellow 1



4Yellow 1Yellow 1

Yellow 1
5Yellow 1


Yellow 1
6Yellow 1


Yellow 1
7





8
Yellow 2



9
Yellow 2



10
Yellow 2



11
Yellow 2



12





13





14


Yellow 1

15


Yellow 1

16


Yellow 1

17


Yellow 1

18





19





20





21Yellow 2
Yellow 1


22Yellow 2
Yellow 1


23Yellow 2
Yellow 1


24Yellow 2
Yellow 1


25Yellow 2
Yellow 1


26Yellow 2
Yellow 1


27Yellow 2




28

Yellow 2


29

Yellow 2


30

Yellow 2


31

Yellow 2


32

Yellow 2


33





34





35



Yellow 2
36



Yellow 2
37



Yellow 2
38



Yellow 2
39
Yellow 3

Yellow 2
40
Yellow 3

Yellow 2
41
Yellow 3

Yellow 2
42
Yellow 3

Yellow 2
43





44





45





46





47





48





49





50





51





52





53





54





55





56





57Yellow 3


Yellow 3
58Yellow 3


Yellow 3
59Yellow 3


Yellow 3
60Yellow 3


Yellow 3
61Yellow 3




62Yellow 3
Yellow 3


63

Yellow 3


64

Yellow 3


65
Yellow 4Yellow 3


66
Yellow 4Yellow 3


67
Yellow 4Yellow 3


68
Yellow 4Yellow 3


69
Yellow 4Yellow 3


70
Yellow 4



71





72





73
Yellow 5



74
Yellow 5



75
Yellow 5



76
Yellow 5



77
Yellow 5



78
Yellow 5



79





80


Yellow 2

81


Yellow 2

82


Yellow 2

83Yellow 4

Yellow 2

84Yellow 4

Yellow 2

85Yellow 4

Yellow 2

86Yellow 4

Yellow 2

87Yellow 4




88Yellow 4




89Yellow 4




90


Yellow 3

91


Yellow 3

92


Yellow 3

93


Yellow 3

94


Yellow 3

95





96





97





98Yellow 5




99Yellow 5




100Yellow 5




101Yellow 5
Yellow 4


102Yellow 5
Yellow 4


103Yellow 5
Yellow 4


104Yellow 5
Yellow 4


105Yellow 5
Yellow 4


106Yellow 5Yellow 6Yellow 4


107Yellow 5Yellow 6Yellow 4


108Yellow 5Yellow 6Yellow 4


109
Yellow 6



110
Yellow 6



111
Yellow 6



112





113





114





115





116





117





118





119





120





121





122





123





124





125





126





127





128





129





130





131





132Yellow 6




133Yellow 6




134Yellow 6




135Yellow 6




136Yellow 6




137Yellow 6




138Yellow 6




139Yellow 6




140Yellow 6




141





142





143





144





145





146


Yellow 4

147


Yellow 4

148
Yellow 7Yellow 5Yellow 4

149
Yellow 7Yellow 5Yellow 4

150
Yellow 7Yellow 5Yellow 4
Yellow 1
151
Yellow 7Yellow 5Yellow 4
Yellow 1
152
Yellow 7Yellow 5

Yellow 1
153
Yellow 7Yellow 5

Yellow 1
154
Yellow 7Yellow 5

Yellow 1
155
Yellow 7


Yellow 1
156




Yellow 1
157





158

Yellow 6


159

Yellow 6


160

Yellow 6


161Yellow 7Yellow 8Yellow 6


162Yellow 7Yellow 8Yellow 6


163Yellow 7Yellow 8Yellow 6


164Yellow 7Yellow 8Yellow 6Yellow 5

165Yellow 7Yellow 8
Yellow 5

166Yellow 7

Yellow 5

167


Yellow 5

168


Yellow 5
Yellow 2
169


Yellow 5
Yellow 2
170


Yellow 5
Yellow 2
171




Yellow 2
172




Yellow 2
173




Yellow 2
174Yellow 8



Yellow 2
175Yellow 8




176Yellow 8



Yellow 3
177Yellow 8



Yellow 3
178Yellow 8



Yellow 3
179Yellow 8



Yellow 3
180Yellow 8




181Yellow 8

Yellow 6

182Yellow 8

Yellow 6

183


Yellow 6

184





185





186





187





188


Yellow 7

189


Yellow 7

190


Yellow 7

191


Yellow 7
Yellow 4
192


Yellow 7
Yellow 5
193


Yellow 7
Yellow 5
194



Yellow 4
195



Yellow 4
196



Yellow 4
197





198



Yellow 5
199



Yellow 5
200
Yellow 9Yellow 7Yellow 8Yellow 5

In addition to being the biggest race of the year, the Indianapolis 500 is also the first oval race of 2015.  This will be our first chance to see how the low-downforce aero kits race.  It's also the first time I've analyzed caution data for an oval race, so I'm hesitant to draw too many conclusions from the data.  That being said, the data from the last 6 races does not indicate that cautions are especially likely to follow immediately after the previous caution.  I'm not comfortable applying that as a rule to all oval races, but it does seem to be the case at the Brickyard.

Cautions per Year


200920102011201220132014
Total Cautions897855
Total Caution Laps614442392121
Average Caution Length (Laps)7.64.96.04.94.24.2
First Caution Lap1121144150
Last Restart (Laps Remaining)183536747

Caution Averages 


2009 to 2011 Avg2012 to 2014 Avg2009 to 2014 Avg
Total Cautions8.06.07.0
Total Caution Laps49.027.038.0
Average Caution Length (Laps)6.24.45.3
First Caution Lap7.756.031.8
Last Restart (Laps Remaining)29.76.017.8

One trend that seems to apply to both 'twisties' (road and street courses) and ovals is that the DW12 has reduced the number of cautions.  Compared to 2009 to 2011, the first 3 years with the DW12 featured a reduction of 2 entire cautions from each race.  Laps run under caution is also down from 49 to 27 during the same time period, a reduction of 45%.

I suspect 2 factors contribute to the reduction in cautions.  First, the DW12 allows drivers to get away with more contact than the IR07 did.  The DW12's sidepods and 'sponsor blocker' are the outermost objects on the side of the chassis, so drivers have a chance of continuing to race despite gentle side to side contact.  This was a rarity with the IR07 because the tires were the outermost objects on the side of that chassis.  Any contact was likely to result in a crash.

The second factor contributing to the reduction in cautions is the way that the DW12 has raced on the Indianapolis oval.  Cars typically make their way around the track in a single file 'drafting train' of 20 or more cars.  Fewer cars get lapped, which reduces the chances for an accident.  Second, drivers don't feel a sense of urgency to make a pass at the first opportunity they have because they know they'll have another passing opportunity soon.  At the same time, the driver being passed doesn't feel like (s)he needs to fight to prevent the pass.  (S)he will probably have a chance to return the favor soon after the pass is safely completed.  This has a calming effect on the field, because drivers can choose safer times to attempt a pass, and give more room to a car making a pass.

One unfortunate trend over the last 6 years has been yellow flags at the end of races.  At the end of the race, the proximity of cars in the 'drafting train' increases the likelihood of a caution.  Drivers know time is running out, so they're willing to attempt riskier passes than they would at the beginning of a race.  Drivers being passed are less likely to leave room for the car attempting the pass.  Because of the increased aggression, 4 out of the last 6 '500s' have ended under yellow.  While I find this problematic, I certainly hope IndyCar resists the urge to use any artificial rules to help a race end under green.  It's the Indianapolis 500, not the Indianapolis 510, 520, or 525.

Lap Number of the Winner's Pit Stops*

Year201220132014
WinnerFranchittiKanaanHunter-Reay
Stop 1152931
Stop 2485863
Stop 3789094
Stop 4118121124
Stop 5147153153
Stop 6166178170
Stop 7N/AN/A192

*Each cell contains the lap number and track condition (green or yellow) for each of the winner's pit stops.

Pit strategy on ovals is significantly different than pit strategy on 'twisties'.  Consider a theoretical 2 car race between Sebastien Bourdais and James Hinchcliffe (#GetWellSoonHinch) where Bourdais is leading but must pit before Hinchcliffe.  On an oval, a green flag pit stop (plus the time it takes to travel down pit road at or below the speed limit) will likely cause Bourdais to go 1 or more laps down to Hinchcliffe, who will pass Bourdais while Bourdais is making his stop.

This is a significant disadvantage for Bourdais.  If a yellow comes out after Bourdais has made his stop, but before Hinchcliffe makes his stop, Bourdais will restart the race behind Hinchcliffe despite the fact that Bourdais was leading before making his stop.  Under the caution, Bourdais will catch up to Hinchcliffe (who must follow the pace car), but will still be one lap down.  Hinchcliffe can make his stop under yellow and catch back up to Bourdais, who cannot pass the pace car.  Bourdais is technically on the lead lap, but he is 99% of a lap behind Hinchcliffe.  Even if Bourdais is allowed to take a wave around (cars between the pace car and the leader pass the pace car and 'get a lap back'), he cannot pass the leader Hinchcliffe before the race resumes.  In this scenario, Hinchcliffe has passed Bourdais using a combination of better fuel mileage, pit strategy, and luck.

The advantage is reversed if the hypothetical race takes place on a 'twisty' where the leader can pit without losing a lap.  Here, Bourdais pits and is passed by Hinchcliffe, but returns to the race on the same lap as Hinchcliffe.  A caution flag allows Bourdais to catch up to Hinchcliffe, who cannot pass the pace car.  At this point, Hinchcliffe must pit under yellow and lose a position to Bourdais but restart the race directly behind him (because Bourdais cannot pass the pace car).  Technically Hinchcliffe can pit soon after the restart, but this leaves him further behind Bourdais because while Hinchcliffe adheres to the pit road speed limit, Bourdais is opening a large gap on Hinchcliffe by driving at race speed.

Since cars want to pit under yellow, the number of pit stops in an oval race can be significantly influenced by the number of yellows.  Strategists may choose to visit pit road under caution if they're near 50% of the way through a fuel run to avoid having to make a green flag pit stop, while other cars who pitted under the yellow don't stop.

Over the last 3 years, the Indianapolis 500 winner has always made at least 6 stops.  Given the reduction in fuel mileage this year, I expect a minimum of 8 pit stops.  That number could easily be 10 or higher if there are more than a handful of cautions.

Oddly, Indianapolis doesn't make the decision to pit under green as easy as other ovals.  Let's return to our 2 car race between Bourdais and Hinchcliffe, this time during the Indianapolis 500 when Bourdais leads by 1 second.  To make this interesting, let's assume each driver runs a 40.5 second lap (a very quick 221MPH according to this sector time sheet from last year's '500') when they don't pit.  Like before, Bourdais must pit before Hinchcliffe.  The chart below contains each driver's lap time, and the gap the leader has on the other car.  All times are in seconds.

Lap Bourdais Lap Time (s) Hinchcliffe Lap Time (s) Gap (s) Leader
3140.540.51Bourdais
3265.840.524.3Hinchcliffe
3355.740.539.5Hinchcliffe
3440.540.539.5Hinchcliffe

At the end of lap 31, as stipulated, Bourdais leads by 1 second.  Bourdais runs his in-lap (lap when he makes a pit stop) in 65.8 seconds, and his out-lap (lap when Bourdais returns to the track after a pit stop) in 55.7 seconds.  (These in-lap and out-lap times were run by Tony Kanaan on laps 32 and 33 of the 2014 Indianapolis 500, and can be found in the sector time sheet referenced above.  I expect similar in-lap and out-lap times in the 2015 race.)  Laps 32 and 33 are slower than Bourdais' normal speed because Bourdais must run a portion of both laps at or below the pit road speed limit.  Since Hinchcliffe doesn't need to pit yet, he passes Bourdais on lap 32, and builds a gap of 39.5 seconds over Bourdais by the end of lap 33.

The problem for Hinchcliffe here is that Bourdais isn't an entire lap down.  For Hinchcliffe to put Bourdais 1 lap down, he would need a gap of over 40.5 seconds.  Hinchcliffe gained 40.5 seconds over Bourdais, but because he started 1 second behind Bourdais, Hinchcliffe was unable to lap Bourdais.

The key to determine whether the leader is better off pitting under green or yellow is to know how much time (s)he will lose when making a pit stop, commonly referred to as the 'pit stop delta time', or simply 'delta time'.  If the leader's delta time minus his lead over 2nd place is less than the time it takes the 2nd place car to complete a lap, the leader should pit under green.

The implication of this exercise is that Indianapolis 500 leaders may prefer to make their stops under green during the 500, especially if they have a solid pit crew (a low delta time) or the race pace is below 221.  This is the reverse of most other ovals, where the leader prefers to make his/her stops under yellow to avoid going 1 lap down.

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