Abstract
In this paper, we consider scheduling problems with slack (different) due-window assignment and time-dependent processing times. The processing time functions are all a proportional linear increasing function of time. On a single-machine setting, the goal is to minimize a cost function that includes earliness, tardiness, due-window starting time and size, and the number of early and tardy jobs. Some relevant optimality properties and polynomial time solution algorithms are proposed to solve these two problems.
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