Earliness-Tardiness Scheduling with Delivery Times and Deteriorating Jobs

This paper addresses single-machine scheduling problems with past-sequence-dependent (denoted by psd) delivery times, due-window assignments and deteriorating jobs simultaneously. The psd delivery time of a job is proportional to the job's waiting time, and the deteriorating jobs mean that the processing time of a job is a proportional increasing function of its starting time. For common, slack and different due-window assignments, the goal is to minimize the weighted sum of earliness, tardiness, due-window starting time and size. Some optimal propositions of the problems are given, and by these propositions, polynomial time algorithms are proposed to optimally solve the above problems.