107569.fig.004
Figure 4: Locus of Pareto-optimal solutions, or Pareto front, using two objective functions: the probability of finding SNe before maximum (abscissa) and the probability of finding SNe no later than three days after the explosion (ordinate). In this example we have evolved 10,000 generations of 1,000 observational plans each, similar to the simulation shown in Figure 3, but with two objectives instead of only one. Absolute numbers should not be trusted, since the simulated cadences are too big for the values expected in a survey looking for SNe as young as three days after explosion. Individual points represent individual observational plans, and the set of points are only an approximation to the Pareto front. Once the Pareto front is computed, one observational plan from the set of solutions can be chosen according to arbitrarily defined criteria.