Scheduling on parallel identical machines to minimise the total weighted tardiness
by Nizar Souayah, Imed Kacem, Mohamed Haouari, Chengbin Chu
International Journal of Advanced Operations Management (IJAOM), Vol. 1, No. 1, 2009

Abstract: This paper considers the problem of scheduling n independent jobs on m identical parallel machines to minimise the total weighted tardiness. We propose several lower bounds and upper bounds. These bounding procedures are used in a new branch-and-bound (BAB) algorithm. We also propose a branch-and-cut algorithm which we compare with the branch-and-bound algorithm. Computational experiments are performed on a large set of instances and the obtained results show the effectiveness of our method.

Online publication date: Thu, 18-Jun-2009

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