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2006 | 16 | 2 | 263-269
Tytuł artykułu

Lower bounds for the scheduling problem with uncertain demands

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper proposes various lower bounds to the makespan of the flexible job shop scheduling problem (FJSP). The FJSP is known in the literature as one of the most difficult combinatorial optimisation problems (NP-hard). We will use genetic algorithms for the optimisation of this type of problems. The list of the demands is divided in two sets: the actual demand, which is considered as certain (a list of jobs with known characteristics), and the predicted demand, which is a list of uncertain jobs. The actual demand is scheduled in priority by the genetic algorithm. Then, the predicted demand is inserted using various methods in order to generate different scheduling solutions. Two lower bounds are given for the makespan before and after the insertion of the predicted demand. The performance of solutions is evaluated by comparing the real values obtained on many static and dynamic scheduling examples with the corresponding lower bounds.
Rocznik
Tom
16
Numer
2
Strony
263-269
Opis fizyczny
Daty
wydano
2006
otrzymano
2005-03-17
poprawiono
2006-02-02
(nieznana)
2006-04-10
Twórcy
  • LAGIS UMR CNRS 8146, Ecole Centrale de Lille, BP 48, 59651 Villeneuve d’Ascq Cedex, France
  • LAGIS UMR CNRS 8146, Ecole Centrale de Lille, BP 48, 59651 Villeneuve d’Ascq Cedex, France
  • GEMTEX EA 2461, Ecole Nationale Superieure des Arts et Industries Textiles, 9 rue de l'Ermitage, BP 30329, 59056 Roubaix Cedex 01, France
Bibliografia
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  • Berkoune D., Mesghouni K. and Rabenasolo B. (2004): Insertion methods of uncertain demands in workshop scheduling. - Proc. 4-th Conf. AUTEX, Roubaix, France, (on CD-ROM).
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  • Carlier J. (1987): Scheduling jobs with release dates and tails on identical machines to minimize makespan. - Europ. J. Oper. Res., Vol. 29, No. 3, pp. 298-306.
  • Carlier J. and Chretienne P. (1988): Problème d'ordonnancement modélisation/complexité/algorithmes. - Paris: Masson.
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  • Mesghouni K. and Rabenasolo B. (2002): Multi-period predictive production scheduling with uncertain demands. - Proc. IEEE Int. Conf. Systems, Man and Cybernetics, SMC 02, Hammamet, Tunisia, Vol. 6, Paper WA2K2, p. 6.
  • Mesghouni K., Hammadi S. and Borne P. (2004): Evolutionary algorithm for job shop scheduling. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 1, pp. 91-103.
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Typ dokumentu
Bibliografia
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