SCHEDULING JOBS WITH CONTROLLABLE PROCESSING TIME, TRUNCATED JOB-DEPENDENT LEARNING AND DETERIORATION EFFECTS

In this paper, we consider single machine scheduling problems with controllable processing time (resource allocation), truncated job-dependent learning and deterioration effects. The goal is to fnd the optimal sequence of jobs and the optimal resource allocation separately for minimizing a cost function containing makespan (total completion time, total absolute differences in completion times) and/or total resource cost. For two di?erent processing time functions, i.e., a linear and a convex function of the amount of a common continuously divisible resource allocated to the job, we solve them in polynomial time respectively.