The dissertation studies how distributed devices that are disconnected for long and unknown periods can efficiently perform a set of tasks. Given n distributed devices that must perform t independent tasks, known to each device, the goal is to schedule work of the devices locally, in the absence of communication, so that when communication is established between some devices at some later point of time, the devices that connect have performed few tasks redundantly beyond necessity. The dissertation gives a lower bound on redundant work, and randomized and deterministic schedules, that allow devices to avoid doing redundant work provably well. The lower bound shows how the wasted work increases as the devices progress in their work. When ea...