Scheduling with Deadlines and Loss Functions on k Parallel Machines

An optimal schedule is developed for H jobs on K identical machines in single stage production. The optimal schedule minimizes ∑b[max (0, Ai − di)] where Ai is the actual completion time for job i and di is the deadline for job i. A common deadline, t0, is assumed for all jobs, i.e., di = t0, i = 1, …, H.