2020
DOI: 10.3390/a13050112
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Two NEH Heuristic Improvements for Flowshop Scheduling Problem with Makespan Criterion

Abstract: Since its creation by Nawaz, Enscore, and Ham in 1983, NEH remains the best heuristic method to solve flowshop scheduling problems. In the large body of literature dealing with the application of this heuristic, it can be clearly noted that results differ from one paper to another. In this paper, two methods are proposed to improve the original NEH, based on the two points in the method where choices must be made, in case of equivalence between two job orders or partial sequences. When an equality occurs in a … Show more

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Cited by 17 publications
(7 citation statements)
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“…If there are differences in the experimental results, differences in input parameters will undoubtedly affect the results. The results obtained will be compared with the upper limit of Eric Taillard's website, and the order of work that is not changed is the order of the work, which is named with a simple "makespan" [7], [20]. Experimental testing was carried out in each case.…”
Section: B Experimental Resultsmentioning
confidence: 99%
“…If there are differences in the experimental results, differences in input parameters will undoubtedly affect the results. The results obtained will be compared with the upper limit of Eric Taillard's website, and the order of work that is not changed is the order of the work, which is named with a simple "makespan" [7], [20]. Experimental testing was carried out in each case.…”
Section: B Experimental Resultsmentioning
confidence: 99%
“…Constructive methods have great relevance to solving problems with variable job processing time. The case of the NEH algorithm is known, which showed good performance with problems with a high number of machines [103] and minimized the makespan as an objective function (among the most common objective functions).…”
Section: Heuristicsmentioning
confidence: 99%
“…Due to succeeding achieved by the NEH algorithm, the researchers have been work on improving its performance or integrating it with other optimization algorithms for overcoming this problem [3,4]. Before speaking of the optimization algorithms, we start reviewing the literature which is devoted to the improvement of the standard NEHheuristic method.…”
Section: Introductionmentioning
confidence: 99%
“…This improvement is summarized as follows: (1) using the priority rule, which integrates the average processing time of jobs and their standard deviations to replace the one in the standard NEH, and (2) using the new tie-breaking strategy to significantly improve the performance of the standard one. Furthermore, Sauvey, and Sauer [3] proposed an improvement on the standard NEH algorithm using two strategies: (1) the first one used the factorial basis decomposition method to ensure testing all the possible orders for the small-scale instances, and allow to randomly choose a particular order of all the possible orders, and (2) the second strategy was based on keeping a list of the best partial sequences, rather than just one.…”
Section: Introductionmentioning
confidence: 99%