Mani, V and Chang, PeiChann and Chen, ShihHsin (2011) Singlemachine scheduling with pastsequencedependent setup times and learning effects: a parametric analysis. In: International Journal of Systems Science (IJSSS), 42 (12). pp. 20972102.

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Abstract
In this article, we consider the singlemachine scheduling problem with pastsequencedependent (psd) setup times and a learning effect. The setup times are proportional to the length of jobs that are already scheduled; i.e. psd 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 Pastsequencedependent Setup Times and Learning Effects', Information Processing Letters, 102, 2226). 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.
Item Type:  Journal Article 

Publication:  International Journal of Systems Science (IJSSS) 
Publisher:  Taylor and Francis Group 
Additional Information:  Copyright of this article belongs to Taylor and Francis Group. 
Keywords:  scheduling;setup times;learning effect 
Department/Centre:  Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) 
Date Deposited:  09 Nov 2011 05:54 
Last Modified:  09 Nov 2011 05:54 
URI:  http://eprints.iisc.ac.in/id/eprint/41944 
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