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Open AccessArticle

Single Machine Scheduling Problem with Interval Processing Times and Total Completion Time Objective

United Institute of Informatics Problems, National Academy of Sciences of Belarus, Surganova Street 6, Minsk 220012, Belarus
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Algorithms 2018, 11(5), 66; https://doi.org/10.3390/a11050066
Received: 2 March 2018 / Revised: 14 April 2018 / Accepted: 23 April 2018 / Published: 7 May 2018
(This article belongs to the Special Issue Algorithms for Scheduling Problems)
We consider a single machine scheduling problem with uncertain durations of the given jobs. The objective function is minimizing the sum of the job completion times. We apply the stability approach to the considered uncertain scheduling problem using a relative perimeter of the optimality box as a stability measure of the optimal job permutation. We investigated properties of the optimality box and developed algorithms for constructing job permutations that have the largest relative perimeters of the optimality box. Computational results for constructing such permutations showed that they provided the average error less than 0 . 74 % for the solved uncertain problems. View Full-Text
Keywords: scheduling; uncertain durations; single machine; total completion time scheduling; uncertain durations; single machine; total completion time
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Sotskov, Y.N.; Egorova, N.G. Single Machine Scheduling Problem with Interval Processing Times and Total Completion Time Objective. Algorithms 2018, 11, 66.

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