1. A method for performing resource management operations in a distributed computer system, the method comprising: creating a dispersion rule for a group of clients; computing a dispersion score for the dispersion rule for at least one candidate distribution of the clients in a cluster of host computers in the distributed computer system; selecting a particular candidate distribution of the clients in the cluster of host computers based at least partly on the dispersion score of the particular candidate distribution; and placing at least one of the clients in one of the host computers in the cluster in accordance with the particular possible distribution of the clients in the host computers.