On the optimality conditions of the two-machine flow shop problem

Hatem Hadda, Najoua Dridi and Mohamed Karim Hajji

European Journal of Operational Research, 2018, vol. 266, issue 2, 426-435

Abstract: This paper tackles the makespan minimization for the well known two-machine flow shop problem. Several optimality conditions are discussed aiming at the characterization of a large set of optimal solutions. We show that our approach dominates some of the results found in the literature. We also establish a number of necessary optimality conditions and discuss the asymptotic behavior of the optimal makespan when the number of jobs goes to infinity.

Keywords: Scheduling; Flow shop; Optimality conditions; Group sequence; Asymptotic behavior (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:266:y:2018:i:2:p:426-435

DOI: 10.1016/j.ejor.2017.09.029

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