A binary integer programming based real-time dispatching heuristic (i-RTD) approach to minimize the makespan of the two-machine batching flow-shop problem with time window constraints is presented for the first time. By scheduling only necessary batches at each iteration,i-RTD works with considerably fewer binary variables so that it runs in real-time. The experimental study demonstrates the proposedi-RTD can generate the efficient solution in real-time, which implies we can implement the proposed approach into real industry where a quick and efficient schedule is required.
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Ham et al. (2011) studied this question.
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