Algorithmic Model ================== The mathematical problem that the best 15 optimisation solves is a MIP problem of maximizing the objective value selected by the user (selection between: Value, Form, Total Point, ICT Index), while also respecting the following constraints: 1. Maximum of 3 players can be selected by each team. 2. Exactly 2 Goalkeepers, 5 Defenders, 5 Midfielders and 3 Forwards should be selected. 3. Cost of players selected has a maximum of 100 units. Mathematical modelling ------------------------ * Pi: player of team i * G: goalkeeper - binary * D: defender - binary * M: midfielder - binary * F: forward - binary * T: set of teams * Cp: cost of player * Vp: objective value of player - Pi ε {G, D, M, F} - Σ(Pi) = 2G + 5D + 5M + 3F - Σ(Pi * Cp) <= 100 - Σ(Pi) <= 3 for every i ε T - max(Σ(Pi * Vp))