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

M. Duran Toksarı; Daniel Oron; Ertan Güner

RAIRO - Operations Research (2010)

  • Volume: 44, Issue: 2, page 107-118
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Duran Toksarı, M., Oron, Daniel, and Güner, Ertan. "Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning." RAIRO - Operations Research 44.2 (2010): 107-118. <http://eudml.org/doc/250846>.

@article{DuranToksarı2010,
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. },
author = {Duran Toksarı, M., Oron, Daniel, Güner, Ertan},
journal = {RAIRO - Operations Research},
keywords = {Scheduling; single Machine; past sequence dependent (p-s-d) setup times; time-dependent learning effect; deterioration jobs; scheduling; single machine; past sequence dependent (p-s-d) setup times},
language = {eng},
month = {4},
number = {2},
pages = {107-118},
publisher = {EDP Sciences},
title = {Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning},
url = {http://eudml.org/doc/250846},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Duran Toksarı, M.
AU - Oron, Daniel
AU - Güner, Ertan
TI - Some scheduling problems with past sequence dependent setup times under the effects of nonlinear deterioration and time-dependent learning
JO - RAIRO - Operations Research
DA - 2010/4//
PB - EDP Sciences
VL - 44
IS - 2
SP - 107
EP - 118
AB - 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.
LA - eng
KW - Scheduling; single Machine; past sequence dependent (p-s-d) setup times; time-dependent learning effect; deterioration jobs; scheduling; single machine; past sequence dependent (p-s-d) setup times
UR - http://eudml.org/doc/250846
ER -

References

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