On the N Job One Machine Sequence Independent Scheduling Problem With Tardines

Joel Shwimer

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However, for the larger (i. E. 20 job) problems, less than 60% (on the average) of the solutio- time was spent in finding the optimum for those problems which required more than the median time to solve completely. These are the problems for which it might be necessary to stop the algorithm short of completion and fortunately, these are also the problems in which the optimal solutions are found sooner relative to the total required solution time.
. 42 Table 3 COMPUTATIONAL RESULTS Number of job...s to be scheduled Distribution of t^ Number of problems run Number of problems solved 10 10 10 10 uniform triangular uniform triangular 60 60 60 60 60 60 60 59 Median solution time . 08 Interquartile range for solution times . 04 Range for solution times . 03-. 19 Mean solution time . 085 Standard deviation of solution times . 035 ** Skewness of solution time distribution 1. 231 *** Kurtosis of solution time distribution 4. 339 . 07 . 28 , 35 . 04 1. 00 7. !
. 03-. 35 . 08-89. 87 . 09->600. . 088 5.

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