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Issue		RAIRO Oper. Res. Volume 33, Number 4, October-December 1999
Page(s)		439 - 445
DOI		10.1051/ro:1999120

DOI: 10.1051/ro:1999120

RAIRO Rech. Opér.     (vol. 33, n$^\circ$ 4, 1999, pp. 439-445)

Optimal scheduling of the 3-machine assembly-type flow shop

Mohamed Haouari¹ and Thouraya Daouas²

¹Ecole Polytechnique de Tunisie, BP. 743, 2078 La Marsa, Tunisia.
²Institut des Hautes Etudes Commerciales, 2016 CarthagePresidence, Tunisia.

Abstract:

We address the 3-Machine Assembly-Type Flowshop Scheduling Problem (3MAF). This problem is known to be NP-complete in the strong sense. We propose an exact branch and bound method based on a recursive enumeration of potential inputs and outputs of the machines. Using this algorithm, several large size instances have been solved to optimality.

Résumé:

Nous nous interessons au probleme d'ordonnancement de 3 machines dans un atelier d'assemblage de type flowshop. Ce probleme est connu comme etant NP-complet au sens fort. Nous proposons un algorithme exact de separation et evaluation progressives, base sur une enumeration recursive des entrees et des sorties potentielles des machines. Des problemes de grande taille ont ete resolus d'une maniere optimale. À notre connaissance, il s'agit de la premiere fois, ou ce probleme est resolu exactement.

Keywords: Scheduling, flow shop, branch and bound, assembly-type production.

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