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

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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Sourd, Francis. Scheduling with periodic availability constraints and irregular cost functions. RAIRO - Operations Research - Recherche Opérationnelle, Volume 41 (2007) no. 2, pp. 141-154. doi : 10.1051/ro:2007016. http://archive.numdam.org/articles/10.1051/ro:2007016/

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