A system such as a multicast VOD system communicates content, e.g., delivers content or receives content, responsive to a user request for content and according to a schedule adapted to a user-specified acceptable latency for content delivery. The schedule may be modified to minimize initiation of delivery of content in response to the user's request. The schedule may also be modified to delay delivery of subsequent portions of the content as late as possible to allow subsequent requests to share a content stream while not exceeding the acceptable latency parameter specified by the user.