Scheduling with periodic availability constraints and irregular cost functions

Francis Sourd

RAIRO - Operations Research (2007)

  • Volume: 41, Issue: 2, page 141-154
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Sourd, Francis. "Scheduling with periodic availability constraints and irregular cost functions." RAIRO - Operations Research 41.2 (2007): 141-154. <http://eudml.org/doc/250086>.

@article{Sourd2007,
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. },
author = {Sourd, Francis},
journal = {RAIRO - Operations Research},
keywords = {Scheduling; earliness-tardiness; availability; break},
language = {eng},
month = {6},
number = {2},
pages = {141-154},
publisher = {EDP Sciences},
title = {Scheduling with periodic availability constraints and irregular cost functions},
url = {http://eudml.org/doc/250086},
volume = {41},
year = {2007},
}

TY - JOUR
AU - Sourd, Francis
TI - Scheduling with periodic availability constraints and irregular cost functions
JO - RAIRO - Operations Research
DA - 2007/6//
PB - EDP Sciences
VL - 41
IS - 2
SP - 141
EP - 154
AB - 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.
LA - eng
KW - Scheduling; earliness-tardiness; availability; break
UR - http://eudml.org/doc/250086
ER -

References

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  8. ILOG Inc., ILOG Scheduler 6.0 User's Manual and Reference Manual (October 2003).  
  9. C.-Y. Lee, Machine scheduling with availability constraints, Handbook of scheduling: Algorithms, models and performance analysis, edited by J.Y.-T. Leung, Chapman & Hall/CRC (2004).  
  10. W. Nuijten, T. Bousonville, F. Focacci, D. Godard and C. Le Pape, Towards a real-life manufacturing scheduling problem and test bed, in Proceedings of PMS'04, (2004) 162–165.  URIhttp://www2.ilog.com/masclib
  11. F. Sourd, Optimal timing of a sequence of tasks with general completion costs. Eur. J. Oper. Res.165 (2005) 82–96.  Zbl1112.90340
  12. F. Sourd and S. Kedad-Sidhoum, A new branch-and-bound algorithm for the minimization of earliness and tardiness on a single machine, in 7th workshop on Models and Algorithms for Planning and Scheduling Problems (2005) 258–261.  

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