Scheduling an unbounded batching machine with family jobs and setup times / R. Zheng in Journal of the operational research society (JORS), Vol. 63 N° 2 (Fevrier 2012)  

Public ISBD [article]  inJournal of the operational research society (JORS) > Vol. 63 N° 2 (Fevrier 2012) . - pp. 160–167 Titre : Scheduling an unbounded batching machine with family jobs and setup times Type de document : texte imprimé Auteurs : R. Zheng, Auteur ; H. Li, Auteur ; X. Zhang, Auteur Année de publication : 2012 Article en page(s) : pp. 160–167 Note générale : Recherche opérationnelle Langues : Anglais (eng) Mots-clés : Scheduling Batching machine Family jobs Setup times Dynamic programming Index. décimale : 001.424 Résumé : We consider the problem of scheduling n jobs on an unbounded batching machine that can process any number of jobs belonging to the same family simultaneously in the same batch. All jobs in the same batch complete at the same time. Jobs belonging to different families cannot be processed in the same batch, and setup times are required to switch between batches that process jobs from different families. For a fixed number of families m, we present a generic forward dynamic programming algorithm that solves the problem of minimizing an arbitrary regular cost function in pseudopolynomial time. We also present a polynomial-time backward dynamic programming algorithm with time complexity O (mn(n/m+1)m) for minimizing any additive regular minsum objective function and any incremental regular minmax objective function. The effectiveness of our dynamic programming algorithm is shown by computational experiments based on the scheduling of the heat-treating process in a steel manufacturing plant. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n2/abs/jors2010187a.html [article] Scheduling an unbounded batching machine with family jobs and setup times [texte imprimé] / R. Zheng, Auteur ; H. Li, Auteur ; X. Zhang, Auteur . - 2012 . - pp. 160–167. Recherche opérationnelle Langues : Anglais (eng) in Journal of the operational research society (JORS) > Vol. 63 N° 2 (Fevrier 2012) . - pp. 160–167 Mots-clés : Scheduling Batching machine Family jobs Setup times Dynamic programming Index. décimale : 001.424 Résumé : We consider the problem of scheduling n jobs on an unbounded batching machine that can process any number of jobs belonging to the same family simultaneously in the same batch. All jobs in the same batch complete at the same time. Jobs belonging to different families cannot be processed in the same batch, and setup times are required to switch between batches that process jobs from different families. For a fixed number of families m, we present a generic forward dynamic programming algorithm that solves the problem of minimizing an arbitrary regular cost function in pseudopolynomial time. We also present a polynomial-time backward dynamic programming algorithm with time complexity O (mn(n/m+1)m) for minimizing any additive regular minsum objective function and any incremental regular minmax objective function. The effectiveness of our dynamic programming algorithm is shown by computational experiments based on the scheduling of the heat-treating process in a steel manufacturing plant. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n2/abs/jors2010187a.html

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