Uma heurística langrangeana para o problema de ponderação de rodadas

Abstract

In this dissertation, our main objective was to develop a technique for resolution to a problem in the area of telecommunications. The problem in question is called Round Weighting Problem (RWP) and was originally proposed in (KLASING; MORALES; P eRENNES, 2008). The context of the problem involves a wireless network where communications are performed by radio waves and the network operates through a network operation that satis es the constraints of the problem. Initially, we explain how a radio network is formed and describe the mode of operation of the radio network with restrictions using a mathematical model. Then, we formalize the RWP as an optimization problem, specifying their restrictions, corresponding to the generation of the set of possible network operations, and optimization criterion, regarding the use of network resources. Subsequently, we show a preliminary study of the Fractional Coloring problem (FC problem) and present a technique to solve this problem through the use of a lagrangian heuristic based on a lagrangian relaxation of an integer programming formulation of the problem. This resolution technique is then adapted to the RWP, consisting in the main contribution of our research. Finally, we show the computational results and analyzes of our implementations for the Fractional Coloring problem and RWP.