no. 2
Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning
RAIRO - Operations Research - Recherche Opérationnelle, Tome 44 (2010) no. 2, pp. 107-118.

This paper studies scheduling problems which include a combination of nonlinear job deterioration and a time-dependent learning effect. We use past sequence dependent (p-s-d) setup times, which is first introduced by Koulamas and Kyparisis [Eur. J. Oper. Res. 187 (2008) 1045-1049]. They considered a new form of setup times which depend on all already scheduled jobs from the current batch. Job deterioration and learning co-exist in various real life scheduling settings. By the effects of learning and deterioration, we mean that the processing time of a job is defined by increasing function of its execution start time and a function of the total normal processing time of jobs scheduled prior to it. The following objectives are considered: single machine makespan and sum of completion times (square) and the maximum lateness. For the single-machine case, we derive polynomial-time optimal solutions.

DOI : 10.1051/ro/2010009
Classification : 90B35
Mots clés : scheduling, single machine, past sequence dependent (p-s-d) setup times, time-dependent learning effect, deterioration jobs 
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     title = {Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
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Duran Toksarı, M.; Oron, Daniel; Güner, Ertan. Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning. RAIRO - Operations Research - Recherche Opérationnelle, Tome 44 (2010) no. 2, pp. 107-118. doi : 10.1051/ro/2010009. http://www.numdam.org/articles/10.1051/ro/2010009/

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