Abstract

This chapter addresses three main problems of the production planning area: Single Machine Scheduling (SMS), Parallel Machine Scheduling (PMS) and Flowshop Scheduling (FS). Many situations in production environments found in industries around the world can be modelled as one or a set of them (Baker 1974). It is easy to find dozens of problem variants in the literature due to different production constraints and objective functions. Due to the overwhelming number of combinations, we focused our discussion on only one of each problem class. They are: SMS with sequence-dependent setup times and with the objective of minimizing of the total tardiness. PMS with sequence-dependent setup times and minimization of the makespan. FS with families of jobs, sequence-dependent setup times and minimization of the makespan.

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