On the two-phase method for preemptive scheduling

Abstract Preemptive scheduling problems on parallel processors may in some cases be solved by a two-phase method: forst solve a LP problem which will give the minimum total completion time T and the processing times of the jobs on the various processors; second construct a feasible schedule using T time units. Some extensions of this procedure are discussed. A general model for preemptive scheduling is described with a two-phase method for solving problems of this type.