Matemática- Bacharelado
URI Permanente para esta coleção
Navegar
Navegando Matemática- Bacharelado por Autor "Guilheiro, Leandro Marques"
Agora exibindo 1 - 1 de 1
Resultados por página
Opções de Ordenação
Monografia Acesso fechado Modelagem matemática do ranking mundial de judô e do desempenho relativo entre atletas de elite(2020) Guilheiro, Leandro MarquesThe main goal of sports managers and coaches is to achieve the best results despite of the lack of available resources. One of their challenges is to develop criterions to select the best team in order to optimize such resources. This work approaches the official World Ranking List of the International Judo Federation (IJF) – the main benchmark used by teams all over the world as performance measure – through the techniques of Calculus. We looked for a better understanding of the relationship between the points an athlete has and the one’s ranking position. After, we try to project the best combination of competitions an athlete must participate, based on one’s past performance, using an algorithm of Integer Linear Programming. Finally, we propose an alternative ranking inspired on Elo Rating System, a system of ratings originally developed to rank chess players. This new ranking lists the athletes by ratings assigned according to their direct confrontations. We hope this new ranking list better predicts future results comparing to the World Ranking List of the International Judo Federation. In the final results, we find a functional relation between the points and the ranking position of the athlete of each weight and gender category in the IJF World Ranking. Besides, an algorithm was developed in order to calculate the ideal competition combination for each athlete given one’s historical performance, applying it to two real cases. And although an alternative ranking based on Elo Rating System has been successfully created, its predictive power was not superior to the IJF World Ranking when compared to the real results of London 2012 and Rio 2016 Olympic Games.