2020
DOI: 10.1051/ro/2020009
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Near-optimal solutions and tight lower bounds for the parallel machines scheduling problem with learning effect

Abstract: In this paper, the parallel machines scheduling problem with Dejong’s learning effect is addressed. The considered problem has a practical interest since it models real-world situations. In addition, this problem is a challenging one because of its NP-Hardness. In this work, a set of heuristics are proposed. The developed heuristics are categorized into two types. The first category is based on the dispatching methods, with new enhancement variants. The second type is more sophisticated and requires solving NP… Show more

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Cited by 11 publications
(6 citation statements)
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References 22 publications
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“…The cloud environment faces many challenges, such as cost and power consumption reduction of various services. The optimization of the cost is studied in [41][42][43][44]. Recently, many international companies have ranked security [45][46][47] as the most difficult parameter to achieve in the cloud and the first challenge for cloud developers and users.…”
Section: Study Backgroundmentioning
confidence: 99%
“…The cloud environment faces many challenges, such as cost and power consumption reduction of various services. The optimization of the cost is studied in [41][42][43][44]. Recently, many international companies have ranked security [45][46][47] as the most difficult parameter to achieve in the cloud and the first challenge for cloud developers and users.…”
Section: Study Backgroundmentioning
confidence: 99%
“…The algorithms developed in [28] can be extended and applied to the presented problem. The algorithms of the parallel machine problem [29][30][31][32] can be extended and reformulated to use the related algorithms for the studied problem. Moreover, the algorithms developed in this paper can be extended for the subject considered in [33,34] The issues of packet scheduling, timing, and routing have been well-studied by many.…”
Section: Related Workmentioning
confidence: 99%
“…Finally, we introduced several heuristics that can help reach metaheuristics or an exact solution for the problem in the future. The proposed algorithms in [54][55][56][57][58][59][60].…”
Section: Literature Reviewmentioning
confidence: 99%