You seem to be confusing problem formulation with the problem solution. It is true there is a standard way to exchange the problem formulation through something like MPS (though it seems AML's like AMPL etc. have taken over). All this format gives you is a standard mathematical formulation of the problem.
However, the solution is something very specific to the individual solver and they have their own data structures, algorithms and heuristic techniques to solve the problem. None of these are interchangeable or public (by design) and you cannot just insert some outside numbers in the middle of the solver process without being part of the solver code and having knowledge of the entire process.
However, the solution is something very specific to the individual solver and they have their own data structures, algorithms and heuristic techniques to solve the problem. None of these are interchangeable or public (by design) and you cannot just insert some outside numbers in the middle of the solver process without being part of the solver code and having knowledge of the entire process.