Scheduling Jobs with Linear Model of Simultaneous Ageing and Learning Effects

Authors

  • Adam Janiak Wrocław University of Technology
  • Maciej Lichtenstein Wrocław University of Technology
  • Agata Rusoń Wrocław University of Technology

DOI:

https://doi.org/10.7494/dmms.2011.5.1.37

Keywords:

sequencing, single machine, learning effect, ageing effect, computational complexity

Abstract

In the paper, we introduce some new scheduling model in which learning and aging effects are both considered simultaneously. In this model the actual processing time of the jobs depends only on its position in a schedule and can be described by the piecewise linear function. For single-processor problem with introduced model, we show that the problem of minimizing the makespan criterion for independent jobs with release dates is strongly NPhard, but some special cases of this problem are polynomially solvable. Based on those special cases, we propose 4 heuristic algorithms and we experimentally examine their usefulness for solving the general problem.

Downloads

Published

2011-10-03

How to Cite

Janiak, A., Lichtenstein, M., & Rusoń, A. (2011). Scheduling Jobs with Linear Model of Simultaneous Ageing and Learning Effects. Decision Making in Manufacturing and Services, 5(1), 37–48. https://doi.org/10.7494/dmms.2011.5.1.37

Issue

Vol. 5 (2011): No. 1-2

Section

Articles

License

Remeber to prepeare, sign and scan copyright statement

Licencja Creative Commons
The content of the journal is freely available according to the Creative Commons License Attribution 4.0 International (CC BY 4.0)

Received 2013-08-20
Accepted 2013-08-20
Published 2011-10-03