Abstract
In this chapter we analyze scheduling processes in Industry 4.0 systems. We discuss briefly the technologies proper of this new paradigm and how they can affect decision-making in the context in which schedules have to be revised due to disruptions. We study a case of rescheduling (and dynamic scheduling) on a single machine when the goal is to minimize maximal lateness. Our approach involves tolerance scheduling, which allows to profit from the computational potentialities of cyber-physical production systems. These can take over the tasks carried out by human schedulers, making decisions on the fly to address disruptions in production processes. We introduce mathematical formalisms for this problem and present ways of solving it. We illustrate this in the numerical analysis of a version of our study case, comparing the results with those of traditional rescheduling strategies.
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