no. 2
Branch-and-bound algorithm for total weighted tardiness minimization on parallel machines under release dates assumptions
RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 2, pp. 125-147.

This paper deals with the parallel-machine scheduling problem with the aim of minimizing the total (weighted) tardiness under the assumption of different release dates. This problem has been proven to be NP-hard. We introduce some new lower and upper bounds based on different approaches. We propose a branch-and-bound algorithm to solve the weighted and unweighted total tardiness. Computational experiments were performed on a large set of instances and the obtained results showed that our algorithms are efficient.

DOI : 10.1051/ro/2012010
Classification : 90B35, 68M20, 90C57
Mots clés : scheduling, weighted tardiness, parallel machines, branch-and-boun 
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     author = {Kacem, Imed and Souayah, Nizar and Haouari, Mohamed},
     title = {Branch-and-bound algorithm for total weighted tardiness minimization on parallel machines under release dates assumptions},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {125--147},
     publisher = {EDP-Sciences},
     volume = {46},
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     year = {2012},
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Kacem, Imed; Souayah, Nizar; Haouari, Mohamed. Branch-and-bound algorithm for total weighted tardiness minimization on parallel machines under release dates assumptions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 2, pp. 125-147. doi : 10.1051/ro/2012010. http://www.numdam.org/articles/10.1051/ro/2012010/

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