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Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning

Published online by Cambridge University Press:  27 April 2010

M. Duran Toksarı ,
Daniel Oron  and
Ertan Güner
M. Duran Toksarı
Affiliation:
Erciyes University, Engineering Faculty, Industrial Engineering Department, Kayseri, Turkey; dtoksari@erciyes.edu.tr
Daniel Oron
Affiliation:
Econometrics and Business Statistics, The University of Sydney, NSW 2006, Australia.
Ertan Güner
Affiliation:
Gazi University, Engineering and Architecture Faculty, Industrial Engineering Department, Ankara, Turkey.
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Abstract

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.

Keywords

Schedulingsingle Machinepast sequence dependent (p-s-d) setup timestime-dependent learning effectdeterioration jobs
Type
Research Article
Information
RAIRO - Operations Research , Volume 44 , Issue 2 , April 2010 , pp. 107 - 118
Copyright
© EDP Sciences, ROADEF, SMAI, 2010

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