There are lots of "AI methods" that can be used to produce deterministic results. In general, this sounds like a problem where combinatorial optimization techni

There are lots of "AI methods" that can be used to produce deterministic results. In general, this sounds like a problem where combinatorial optimization techniques can be useful. For example, constraint programming, mixed integer programming, and various local search methods. For all techniques, there are both deterministic and non-deterministic approaches.