In this paper, we consider an identical parallel machine scheduling problem with release dates. The objective is to minimize the total weighted completion time. This problem is know to be strongly NP-hard. We propose two lower bounds. We present an efficient heuristic, we also propose some dominance properties. A branch and bound algorithm in which the heuristic, the lower bounds and the dominance properties are incorporated is proposed and tested on a large set of randomly generated instances.
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Univ Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy
Univ Fed Rio Grande do Norte, Dept Engn Prod, Av Passeio Girassois 300, BR-59077080 Natal, RN, BrazilUniv Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy
Kramer, Arthur
Dell'Amico, Mauro
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Univ Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, ItalyUniv Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy
Dell'Amico, Mauro
Feillet, Dominique
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Ecole Mines St Etienne, F-13541 Gardanne, France
UMR CNRS 6158 LIMOS CMP Georges Charpak, F-13541 Gardanne, FranceUniv Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy
Feillet, Dominique
Iori, Manuel
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Univ Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, ItalyUniv Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy