José Carlos Ferreira

The objective of this phase of the work was to obtain parameters for monthly equations of maximum of estimations precipitation intensity in intervals of 5, 10, 15, 20, 25, 30 and 60 minutes covering 165 places of São Paulo State. Starting from the historical series of 31 years of maximum precipitation of "one day", it was used Gumbel probability distribution for calculating the probability of occurrence of extreme values in every month. Using the methodology proposed by Occhipinti & Santos (1966), the maximum rains of "one day" were dissociated in precipitation of maximum intensity in 24 hours in the seven intervals of time described above, for each one of the 165 places in every month. The parameters a and b were calculated, for each one of the seven rains intervals of durations with F(x) = 90% in each one of the 165 proposed places. The parameters and were calculated, for each one of the seven intervals of duration of the rain, with F(x) = 90% and in each one of the 165 proposed places. The series of maximum precipitation of "one day" were submitted to the test of Kolmogorov-Smirnov, witch results confirmed the good adjustment with distribution of Gumbel. The methodology showed good performance, considering that the relative percentile differences, of the results of the maximum precipitations obtained with the parameters and , of 25 places, compared with those obtained by the methodology of Occhipinti, they were in general smaller than 0,5%.

The objective of this phase of the work was to obtain parameters for monthly equations of maximum of estimations precipitation intensity in intervals of 5, 10, 15, 20, 25, 30 and 60 minutes covering 165 places of São Paulo State. Starting from the historical series of 31 years of maximum precipitation of "one day", it was used Gumbel probability distribution for calculating the probability of occurrence of extreme values in every month. Using the methodology proposed by Occhipinti & Santos (1966), the maximum rains of "one day" were dissociated in precipitation of maximum intensity in 24 hours in the seven intervals of time described above, for each one of the 165 places in every month. The parameters a and b were calculated, for each one of the seven rains intervals of durations with F(x) = 90% in each one of the 165 proposed places. The parameters and were calculated, for each one of the seven intervals of duration of the rain, with F(x) = 90% and in each one of the 165 proposed places. The series of maximum precipitation of "one day" were submitted to the test of Kolmogorov-Smirnov, witch results confirmed the good adjustment with distribution of Gumbel. The methodology showed good performance, considering that the relative percentile differences, of the results of the maximum precipitations obtained with the parameters and , of 25 places, compared with those obtained by the methodology of Occhipinti, they were in general smaller than 0,5%.

Different Multi-Objective Optimization Methods (MOOM) for solving Multi-Objective Optimization Problems (MOOP) have been suggested in the literature. These methods often comprise two stages (not necessarily sequential): i) the search for the Pareto-optimal set and ii) the selection of a single solution from this non-dominated set. Various studies comparing performance of particular aspects of these methods have been carried out. However, a theoretical support that changes on the preferences of a Decision Maker (DM) will be reflected in the same way on the solution of the MOOP given by the MOOM has not been presented. In this work a consistency measure to assess MOOM is proposed. It will used to compare the performance of different methods available in the literature. This study was performed using some benchmark test problems, with two criteria.