1. An apparatus comprising: at least one processing platform implementing a plurality of resources of converged infrastructure of an information processing system; a controller associated with the plurality of resources, the controller comprising at least one processing device comprising a processor coupled to a memory; and a database coupled to the controller; the controller comprising: a resource discovery module configured to identify and categorize the resources of the converged infrastructure; and a hierarchical mapper configured: to generate one or more hierarchical mappings of applications, services and resources for the converged infrastructure by: mapping at least first and second applications of the processing platform to respective sets of services utilized by those applications, wherein relationships between the mapped applications and services are expressed as a first set of bidirectional links from the applications to the services; and mapping each of the services to respective sets of the identified and categorized resources utilized by those services, wherein relationships between the mapped services and resources are expressed as a second set of bidirectional links from the services to the resources; and to store the one or more generated hierarchical mappings in the database; wherein the controller utilizes the one or more stored hierarchical mappings to perform orchestration for one or more additional applications of the processing platform, the orchestration comprising: querying existing application, service and resource elements at respective levels of the one or more hierarchical mappings stored in the database; utilizing discovered relationships among those queried elements in determining a particular arrangement for the one or more additional applications based at least in part on the querying; and configuring the one or more additional applications and one or more additional services utilized by the one or more additional applications by automatically arranging resources into services for use by the one or more additional applications.