Optimal results for the 'prime' instances Instance Optimal value --------------------------------- wt_100_prime_1 802910360 wt_100_prime_2 755883602 wt_100_prime_3 772936285 wt_100_prime_4 772242365 wt_100_prime_5 772266246 wt_100_prime_6 584502396 wt_100_prime_7 651160845 wt_100_prime_8 485031706 wt_100_prime_9 600247834 wt_100_prime_10 538889310 wt_100_prime_11 217962855 wt_100_prime_12 441851304 wt_100_prime_13 317231662 wt_100_prime_14 295071692 wt_100_prime_15 248660251 wt_100_prime_16 292956061 wt_100_prime_17 212953095 wt_100_prime_18 189128175 wt_100_prime_19 111382882 wt_100_prime_20 138182878 wt_100_prime_21 166716374 wt_100_prime_22 147222671 wt_100_prime_23 58998980 wt_100_prime_24 108268446 wt_100_prime_25 163480751 --------------------------------- The optimal results have been published online on October 28, 2010, and found by means of local search: A Variable Neighborhood Search approach using exchange, backward and forward shift as operators has been employed (see also M. J. Geiger: On Heuristic Search for the Single Machine Total Weighted Tardiness Problem – Some Theoretical Insights and their Empirical Verification. European Journal of Operational Research 207(3):1235–1243, 2010) Optimality of the results has been shown by Shunji Tanaka, Department of Electrical Engineering, Kyoto University Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan. Shunji Tanaka recorded a computing time of several minutes for each instance, using two Xeon E5620 and 96 GB RAM. He maintains a SMTWTP-page under http://turbine.kuee.kyoto-u.ac.jp/~tanaka/SiPS/ Remark: We also have the job sequences available. Contact: Martin Josef Geiger, m.j.geiger@hsu-hh.de