What is the value of a planet that can be colonized versus the relatively easily obtained mineral wealth of the asteroids if they were mined instead? Since I propose a fleet of self replicating robots programed to reproduce until they have sufficient numbers to perform each of thier tasks, what would that cost assuming there are different castes; miners, smelters, fabricators, tugs, communicators, sensors, and so forth working like an ant colony? Using such a replication scheme how long would it take to accomplish each phase of the operations?
The robots would be specialists; highly sophisticated at doing on thing or set of things but incapable of much else and programed to deactivate upon completion of thier overall task. No rise of the machine type scenarios there.