For a multi-tenant environment, some embodiments of the invention provide a novel method for forwarding tenant traffic through a set of service machines to perform a set of service operations on the tenant traffic. In some embodiments, the method performs a classification operation on a data message flow of a tenant, in order to identify a set of service operations to perform on the data message flow. For some data message flows, the classification operation selects the identified set of service operations from several candidate sets of service operations that are viable service operation sets for similar data message flows of the tenant. In some embodiments, the classification operation is based on a set of attributes associated with the data message flow (e.g., five tuple identifier, i.e., protocol and source and destination ports and IP addresses).