Systems, methods, and program product to calculate global energy utility targets and to model and determine an optimal solution for a non-thermodynamically constrained process or cluster of processes subject to non-thermodynamic constraints under all possible process changes and streams specific minimum temperature approaches, are provided. An exemplary system can utilize thermodynamic constraints exhibited in stream-specific minimum temperature approach values ΔTmini as optimization parameters, in addition to other process conditions degrees of freedom including the addition of new waste heat carrier streams to target for minimizing energy consumption of the non-thermodynamic constrained waste heat recovery problem and to identify the optimal operating conditions that result in desired minimum energy consumption subject to the non-thermodynamic constraints.