A computer system with unattended on-demand availability includes power-saving features which place the system into a Standby mode whenever the system is idle or is not being used. Prior to entering Standby mode, the system sets a hardware timer which indicates when the next scheduled event in the system should be performed. When either the timer expires or another event occurs which requires system operation, the system resumes to the On power state without user intervention. In one embodiment, the system of the present invention allows applications to periodically save their operational states. By saving their operational states, applications are able to guard against power failures and crashes. If a power failure or crash occurs, the system consults restart policies and, if appropriate, automatically re-starts applications to their most recently saved operational states once power is re-stored.