Estudo de alocação de recursos em redes de acesso utilizando ferramentas da teoria dos jogos e algoritmos genéticos

Abstract

We studied the problem of cost allocation among users of an access network. Its foundations, limitations, implications, and mathematics resources necessaries to the problem resolution. We presented considerations and deductions about the problem, which was modeled as a cooperative game. An important result accomplished was an analisys by different perspectives as well as its geometric interpretation. Starting with the problem understanding and the study of an exact algorithm to obtain the nucleolus whose complexity of time and space is exponential, and also the geometric interpretation of the problem, we obtained a proposal of an heuristic which works with a linear number of constraints, based on the use of Genetic Algorythm associated to Simplex.