Galera router with write load balancing

Currently, on Galera clusters the most commonly used router is read-write split, which only sends the writes to one of the nodes. One of the advantages of Galera is the full write support on all nodes, so it would be very useful to have a router which could route the write requests to all nodes.

One way to do this would be to open a connection to only one of the Galera nodes for each incoming session; then all traffic from this session goes to the chosen node. The choice of the node could be a simple round-robin, or, optionally, a some more advanced algorithm based on the number of open sessions to each node.