Scheduling 'n' jobs on 'm' machines in a flow shop is NP-hard problem and places itself at prominent place in the area of production scheduling.The essence of any scheduling algorithm is to minimize the makespan in a flowshop environment.In this paper an attempt has been made to develop a heuristic algorithm, based on the reduced weightage of machines at each stage to generate different combination of 'm-1' sequences.The proposed heuristic has been tested on several benchmark problems of Taillard (1993) [Taillard, E. (1993).Benchmarks for basic scheduling problems.European Journal of Operational Research, 64,[278][279][280][281][282][283][284][285].The performance of the proposed heuristic is compared with three well-known heuristics, namely Palmer's heuristic, Campbell's CDS heuristic, and Dannenbring's rapid access heuristic.Results are evaluated with the best-known upper-bound solutions and found better than the above three.
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Gupta et al. (2015) studied this question.
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