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Single-machine scheduling with past-sequence-dependent setup times and learning effects: a parametric analysis
| Content Provider | Scilit |
|---|---|
| Author | Mani, V. Chang, Pei-Chann Chen, Shih-Hsin |
| Copyright Year | 2011 |
| Description | In this article, we consider the single-machine scheduling problem with past-sequence-dependent (p-s-d) setup times and a learning effect. The setup times are proportional to the length of jobs that are already scheduled; i.e. p-s-d setup times. The learning effect reduces the actual processing time of a job because the workers are involved in doing the same job or activity repeatedly. Hence, the processing time of a job depends on its position in the sequence. In this study, we consider the total absolute difference in completion times (TADC) as the objective function. This problem is denoted as 1/LE, s$ _{ psd }$/TADC in Kuo and Yang ( 2007 Kuo, WH and Yang, DL . 2007. Single Machine Scheduling with Past-sequence-dependent Setup Times and Learning Effects. Information Processing Letters, 102: 22–26. [Crossref], [Web of Science ®] [Google Scholar] ) ('Single Machine Scheduling with Past-sequence-dependent Setup Times and Learning Effects', Information Processing Letters, 102, 22–26). There are two parameters a and b denoting constant learning index and normalising index, respectively. A parametric analysis of b on the 1/LE, s$ _{ psd }$/TADC problem for a given value of a is applied in this study. In addition, a computational algorithm is also developed to obtain the number of optimal sequences and the range of b in which each of the sequences is optimal, for a given value of a. We derive two bounds b* for the normalising constant b and a* for the learning index a. We also show that, when a < a* or b > b*, the optimal sequence is obtained by arranging the longest job in the first position and the rest of the jobs in short processing time order. |
| Related Links | https://core.ac.uk/download/pdf/11655149.pdf |
| Ending Page | 2102 |
| Page Count | 6 |
| Starting Page | 2097 |
| ISSN | 00207721 |
| e-ISSN | 14645319 |
| DOI | 10.1080/00207721003718436 |
| Journal | International Journal of Systems Science |
| Issue Number | 12 |
| Volume Number | 42 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2011-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: International Journal of Systems Science Operations Research and Management Science Scheduling Setup Times Learning Effect |
| Content Type | Text |
| Resource Type | Article |
| Subject | Theoretical Computer Science Control and Systems Engineering Computer Science Applications |
