Scheduling with periodic availability constraints and irregular cost functions

Francis Sourd 1
1 RO - Recherche Opérationnelle
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : 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.
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Journal articles
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Submitted on : Wednesday, August 19, 2015 - 3:18:00 PM
Last modification on : Thursday, March 21, 2019 - 1:11:05 PM

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Francis Sourd. Scheduling with periodic availability constraints and irregular cost functions. RAIRO - Operations Research, EDP Sciences, 2007, 41 (2), pp.141-154. ⟨10.1051/ro:2007016⟩. ⟨hal-01185240⟩

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