Figured I would put this out there for people to see. It may help it may further confuse things.
I can run the first stint of 6 laps (1 caution and 5 at race pace) with the final laps at a quicker pace than I would normally. Hopefully keeping me at least mid pack. I am thinking 3:29's or 3:30's for those 5 laps pitting at the start of lap 7. I will then have to run laps in moderate fuel conservation mode to get the full 6 laps
I will then pit again at the start of lap 13 as the caution comes out. I will then pit again at the start of lap 14 to top off (or maybe at the start of lap 15 as we go green).
This maybe could allow me to then run two 5 lap stints getting me to lap 24 with no regard for fuel savings BUT I will see where I am after the first three laps fuel wise and if I have more than half a tank I will then settle in to the 6 lap fuel usage mode and stretch it to 6 meaning I will be pitting at the start of lap 20 and can complete lap 24 (having to pit at the beginning of lap 25)
Now all this is in an ideal world with out accidents and with out rain and or wet track slowing us down. I have not tested yet I may actually pit at the start of lap 15 as the field goes green and then I can run a fuel saver stint to lap 20 and then drive like a mad man to the finish.
Now for the math to see if the above actually works out by the numbers.
First off the math.
1:30 min = 90 min
3:34 = 3.56 min / lap
90/3.56 = 25.28 laps (if all 90 min was at race pace) BUT now we start subtracting.
The first lap will be roughly a 6 min lap so that subtracts conservatively 2 min
The two caution laps will be the same so that is 2 min * 2 = 4 min
Pitting
Fuel takes about .5 sec for every liter of fuel so a full tank will be 50 seconds plus in and out adds another 26 seconds so each pit stop will be a total of 76 seconds
The first pit stop will be under normal race conditions so that means you loose 76 seconds in the pits
The second pit stops (yes two as I plan on one at the beginning of lap 13 and one at the beginning of 15. This is a hard one to calculate. The first one is under yellow so there is coming to the yellow so there really is no time loss. You don't get double lose of time for both the yellow and the pit stop. The second one is the tricky one as I will be pitting as the field goes green so to be conservative I am going to consider only the fueling and the out portion of the pit stop (about 63 seconds)
The third stop will be under green so that is a full 76 second loss.
So if we tabulate all the "lost time" it is as follows
- 6 min for caution laps
- 1:16 for the first stop
- 0:66 for the 2nd stop
- 1:16 for the third stop
For a total of
9:38 = 9.63 min
We then take this and divide it by 3:34 (3.56 min) and you get 2.70 laps "at speed" lost.
So going back to my original race length of 25.28 = and subtract the laps lost due to all the above I get a race length of 22.58 laps round that to 23 laps as you have to finish the last lap and as I always did when I was a crew chief add one more lap so it will end up being 24 laps for calculation purposes.
So looking back on my pit stop strategy knowing the total race length with time lost I may not pit at the start of lap 15 (putting me at the back of the field but not a bad thing) but instead pit at the start of lap 14 under caution this will mean 11 laps to the finish BUT I have to be carful as that changes the lost time factor as I will not loose the 56 seconds that I would if I pit on lap 15. BUT it would mean I could run one 5 lap stint and one 6 lap stint to complete lap 24. If my calculations really are accurate then I may only need to complete lap 23 and in that case I could possibly run two 5 lap stints (and risk crashing the car). Also really only am 4 seconds a lap at my all out pace so that would only equate to a 24 second gain in time on the field. Or run two 6 lap stints and that gives me as much as a two lap margin. One lap margin on fuel millage PLUS the one lap margin in the calculated 24 lap length. Hummmmm
Ohya then there is rain and it can toss all this out the window.
This is the kind of stuff that I loved about endurance racing when I did it. Yes I geek out on the numbers in racing. We won several 24 hour races because I would start running these types of calculations at about the mid point of the race and then keep adjusting them as things changed. Lots of fun!!!