Scheduling Parallel Machines On-Line

The problem of scheduling jobs on parallel machines is studied when (1) the existence of a job is not known until its unknown release date and (2) the processing requirement of a job is not known until the job is processed to completion. Two general algorithmic techniques are demonstrated for converting existing polynomial-time algorithms that require complete knowledge about the input data into algorithms that need less advance knowledge. Information-theoretic lower bounds on the length of on-line schedules are proven for several basic parallel machine models, and almost all of our algorithms construct schedules with lengths that either match or come within a constant factor of the lower bound.