Multiobjective Flowshop Scheduling
It was mentioned in Chapter 4 that in sequencing jobs in a flowshop we are likely to confront several different (and often conflicting) management objectives. Consequently, a schedule may have to be evaluated by different types of performance measures. Some of these measures may give importance to completion time (e.g. makespan), some to due date (e.g. mean tardiness, maximum tardiness), and some others to the speed with which the jobs flow (e.g. mean flow time). The simultaneous consideration of these objectives is a multiobjective optimization problem. But, even for a single objective, flowshop sequencing is NP-hard. Therefore, solving even a single objective flowshop problem involving only 15-20 machines and 30-40 jobs by classical optimization methods would be quite difficult.
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