Methods are described for ideally joining human and machine computing resources to solve tasks, based on the construction of predictive models from case libraries of data about the abilities of people and machines and their collaboration. Predictive models include methods for folding together human contributions, such as voting, with machine computation, such as automated visual analyses, as well as the routing of tasks to people based on prior performance and interests. An optimal distribution of tasks to selected participants of the plurality of participants is determined according to a model that considers the demonstrated competencies of people based on a value of information analysis that considers the value of human computation and the ideal people for providing a contribution.