A control apparatus that process data inputs in a computing arrangement to provide outputs includes a user interface and a data processing arrangement. The computing arrangement executes a software product to implement a method including generating a multi-dimensional system model operable to describe the system as spanned by state variables on at least one of finite domains or intervals, generating an addressable solution space to meet runtime requirements, the addressable solution space defining all valid states or combinations satisfying a conjunction of substantially all system constraints on all variables, storing the addressable solution space, generating and storing object functions, generating and storing values associated with the addressable solution space to make the values addressable from an environment including the state variables, and using the addressable solution space to process inputs provided to the system, and to generate outputs for controlling or advising operation of the system.