This paper introduces a method to compute the optimal flow metering for multi-actuated machines such as excavators based on a brute-force resolution of a problem formulated as a set of linear constraints. The formulation of the optimization problem can be extended to many topologies considering different control architectures. First, a graphical representation in a power-pressure plane is used to identify the possible flow metering modes and their associated constraints reducing the combinatorial complexity of the optimization problem. For a given hydraulic transmission system, it enables the optimal flow metering to be determined easily and it provides the flows required by each valve and/or pump of the considered hydraulic transmission system. As an example, the proposed method is applied to different metering topologies that include or do not direct regeneration between actuator chambers. The results of the flow metering optimization for a given work cycle of an excavator including physical constraints will show that it leads to almost identical capacity in improving the energetic performance compared to a conventional load sensing architecture.