Create a Simulation of F1 Tyres - Management Assignment Help

Assignment Task:

Task:

In this assignment you will be tasked with doing four things:

• Create a simulation of F1 tyres taking into account tyre degradation on each lap (we will refer to tyre degradation from here on in as deg for short) that takes into account the fuel on board the car and how hard the car works the tyres
• A mapping onto the simanneal library that will use Simulated Annealing algorithm to determine the best strategy
• A mapping onto the deap library that will use genetic evolution to determine the best strategy
• Using both mappings to determine the best strategy in a number of situations for three cars at a time
In terms of effort the vast majority of your time will be spent on the first part
in creating the simulation. The mappings to both libraries will not take long, and
the experimentation to find the best strategy will be fairly quick.
It is recommended that when you have completed your simulations that you test them with the test cases and graphs given below. You should print out graphs of your own for comparison as it is much easier to verify this visually than to pour over a set of numbers and figure out the general pattern that way. Remember if you produce a bad simulation your results from numerical optimisation cannot be trusted.

Read the details of the simulation carefully and if you have any questions do not hesitate to ask. You will need to have full clarity on the simulation in order for implementation to be correct and therefore your numerical optimisation to be correct
1 Simulation Details
The reason why F1 teams run many simulations of this nature is that they need to know the fastest way to complete a race, generally there are two main variables involved how many pitstops should be done over the race and what tyre compounds to use. What we will simulate here will not be to their level of complexity but will roughly simulate what happens.
They generate many strategies to cover many different situations. Teams will generally have three dry tyre compounds available to them on each weekend. For the purposes of our called the Soft, Medium, and Hard. The have the following properties:
• Soft: Most grip, fastest lap time, only lasts a short time
• Medium: in between on all properties between Soft and Hard
• Hard: Least grip, slowest lap time, lasts a long time
Also teams must use at least two different compounds during the race, meaning there is one mandatory pitstop and compound change to be made during the race. However, we are going to simulate a rule tweak here. We will require that all three compounds are used during a race requiring a minimum of two stops.
Tyres will be modelled with three different wear phases. A linear phase where the grip loss of the tyre is predictable and linear in nature, A high wear phase where the tyre is still usable but is losing more lap time and grip with each passing lap. Finally the last phase where all usable grip is exhausted and the tyre loses a lot of performance (in F1 terms its referred to as a tyre “falling off the cliff”). The high wear phase will be modelled as a compounding effect after each lap of wear (similar to compound interest). A tyre and its properties therefore will be modelled with the following four parameters:
• initial grip: the grip in seconds per lap the tyre will give as new.
• initial deg: the linear loss in grip per lap expressed as a fraction of time
• switch point: the point at which grip loss changes from linear to high wear
• switch deg: a multiplier that is applied to degradation each lap to determine how much grip is lost
Based on the above you can model your three tyre compounds with the following properties respectively:
• Soft: 2.0, 0.03, 1.8, 1.2
• Medium: 1.6, 0.02, 1.3, 1.2
• Hard: 1.1, 0.01, 0.85, 1.2
For example the soft tyre is worth 2 seconds a lap to begin with but will lose 3 hundreds of a second (0.03 seconds) per lap in the linear phase. The high wear phase starts when overall grip is less than or equal to 1.8 after which the grip loss multiplies by a factor of 1.2 on each lap.
You may also assume the following constants for the purposes of simulation which is designed to approximate the Hungarian GP at the Hungaroring:
• A base lap time of 76 seconds
• A 70 lap race
• each pitstop will add 30 seconds in total to the overall race time
• each car starts with 105Kg of fuel (yes it is measured in Kg not litres as litres is not precise enough in F1)
• each car will use 1.5Kg of fuel per lap

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