There is a discussion of the characteristics of steam and hydroelectric power facilities. The costs of input output, incremental fuel, and incremental production costs are examined. The operational constraints are listed. Thermal plant scheduling by merit order and equal incremental costs are provided, both with consideration for transmission losses. Lagrange multipliers and their applications are used in the derivations. A loss B-coefficient model is developed. It is discussed how to use active power scheduling. The penalty factor has been established. Scheduling with a pumped storage facility is being a consideration. Hydrothermal scheduling is examined. Methods for energy scheduling and short-term hydrothermal scheduling are described.