Methods of providing a combined synthesis of cost-effective heat and power (CHP) utility systems and the key process systems are provided. An exemplary method includes process steps for identifying the best key subsystem design and operating conditions for both the process and the utility systems. The method can include the step of determining an optimal allocation of steam and power between both process and utility systems for one or more industrial process facilities in both partially and totally decentralized environments. This can include defining rigorously bounded decision variables as model input data, processing the model input data by a combined heat and power utility and process subsystem mathematical program model, and determining a plurality of at least substantially optimal process and utility subsystem conditions.