Femtocell as a relay: A bargaining solution for femto users partition in geometrical perspective

Due to the demand for better transmission quality and lower power consumption, cooperation between macro users and femto users in a macrocell-femtocell overlay network brings a win-win situation. In this paper, we balance macro user's own profit and social fairness by focusing on the Nash bargaining solution for femtocell users partition problem. In order to solve the NP-hard problem, we introduce the concept of spatial distance and the method to determine the location of pivot point in bargaining game. A femtocell users partition algorithm based on bargaining solution in geometrical perspective is proposed. We evaluate the performance of the proposed algorithm through numerical results. It shows that the utility-gain product by geometrical bargaining solution is close to that by full permutation, and the former greatly reduces the computation complexity.