Deterministic Scheduling with Pipelined Processors

In this paper several results are proven showing a correspondence between problems involving task systems with single-stage processors and similar ones using pipelined processors. For example, an optimal schedule for a task system with arbitrary precedence constraints using a single pipelined processor with two stages is found by the familiar Coffman–Graham algorithm for a system with two single-stage processors. Precedence constraints in the form of inforests, out-forests, and directed acyclic graphs are examined. Task systems with release times and deadlines for each task are also considered.