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Single-machine Scheduling With Past-sequence-dependent Setup Times And Learning Effects: A Parametric Analysis
| Content Provider | Indian Institute of Science (IISc) |
|---|---|
| Author | Mani, V. Chang, Pei Chann Chen, Shih Hsin |
| Copyright Year | 2011 |
| Abstract | 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, (Spsd) TADC in Kuo and Yang (2007) ('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, (Spsd) 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. |
| File Format | |
| Journal | PeerReviewed |
| Language | English |
| Publisher | Taylor and Francis Group |
| Publisher Date | 2011-01-01 |
| Access Restriction | Authorized |
| Subject Keyword | Aerospace Engineering (Formerly, Aeronautical Engineering) |
| Content Type | Text |
| Resource Type | Article |
