Geodesic
Scheduling with periodic availability constraints and irregular cost functions
RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 2, pp. 141-154

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This paper addresses a one-machine scheduling problem in which the efficiency of the machine is not constant, that is the duration of a task is longer in badly efficient time periods. Each task has an irregular completion cost. Under the assumption that the efficiency constraints are time-periodic, we show that the special case where the sequence is fixed can be solved in polynomial time. The general case is NP-complete so that we propose a two-phase heuristic to find good solutions. Our approach is tested on problems with earliness-tardiness costs.

DOI : 10.1051/ro:2007016
Classification : 90B35
Keywords: scheduling, earliness-tardiness, availability, break 
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     author = {Sourd, Francis},
     title = {Scheduling with periodic availability constraints and irregular cost functions},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {141--154},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {2},
     year = {2007},
     doi = {10.1051/ro:2007016},
     mrnumber = {2341437},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2007016/}
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Sourd, Francis. Scheduling with periodic availability constraints and irregular cost functions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 2, pp. 141-154. doi: 10.1051/ro:2007016

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