There are different types of investors who make up the financial market and produce market opportunities at different time scales. This indicates a heterogeneous market structure. In this thesis, we conjecture that may have more predictive opportunities than others, what motivates research and construction of we denominate multirresolution optimal strategies. For multirresolution strategies there are time series decomposition approaches for operating at different resolutions or proposals for dataset construction according to multirresolution trading optimal decisions. The other approaches, are single resolution. Thus, we address two problems, maximizing cumulative returns and maximizing cumulative returns with risk control. Here, we propose solving the Weighted Interval Scheduling problem to build multirresolution strategies. Our methodology consists of dividing the market day into time intervals, specialize traders by interval and associate a prize to each trader. For the cumulative return maximization problem, the prize corresponds to cumulative returns between days for the associated trader operation interval. For the cumulative return maximization problem with risk control each trader prize corresponds to cumulative return divided by risk with associated operation interval. In order to control the risk, we employ a set of traders by interval and apply the Markowitz Mean-Variance method to find optimal weight for set of traders. Here, we conjecture that controlling each interval risk leads to the overall risk control of the day. For signaling buy and sell orders, our traders use opportunity detectors. These detectors correspond to Machine Learning algorithms that process technical analysis indicators, price and volume data. We conducted experiments for ten of the most liquid BMF&Bovespa stocks to a one year span. Our Trading Team Composition strategy results indicates an average of 0.24 per cent daily profit and a 77.24 per cent anual profit, exceeding by 300 per cent and 380 per cent, respectively, a single resolution strategy. Regarding operational costs, CTT strategy is viable from 50,000 dollars. For the cumulative return maximization problem under risk control, our Portfolio Composition by Intervals strategy results indicates an average of 0.179 per cent daily profit and a 55.85 per cent anual profit, exceeding a Markowitz Mean- Variance method. Regarding operational costs, CCI strategy is viable from 2,000,000 dollars. Our main contributions are: the Weighted Interval Scheduling approach for building multirresolution strategies and a portfolio composition of traders instead of stocks performances.