A method for scheduling data services in a heterogeneous storage environment is disclosed. In one embodiment, such a method includes instrumenting, in a heterogeneous storage environment, each of a plurality of storage systems to generate events when operations are performed thereon. The events are detected and indexed in a single namespace. These events may then be analyzed to generate a statistical model of I/O activity occurring in the heterogeneous storage environment over a period of time. From the statistical model, the method determines periods of reduced I/O workload across the heterogeneous storage environment. The method then schedules data services to occur during these periods of reduced I/O workload. A corresponding system and computer program product are also disclosed.