THE STABILITY BOX IN INTERVAL DATA FOR MINIMIZING THE SUM OF WEIGHTED COMPLETION TIMES

Yuri N. Sotskov, Natalja G. Egorova, Tsung-Chyan Lai, Frank Werner

Abstract

We consider a single-machine scheduling problem, in which the processing time of a job can take any value from a given segment. The criterion is to minimize the sum of weighted completion times of the n jobs, a weight being associated with a job. For a job permutation, we study the stability box, which is a subset of the stability region. We derive an O(nlogn) algorithm for constructing a job permutation with the largest dimension and volume of a stability box. The efficiency of a permutation with the largest dimension and volume of a stability box is demonstrated via a simulation on a set of randomly generated instances.

References

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Paper Citation


in Harvard Style

N. Sotskov Y., G. Egorova N., Lai T. and Werner F. (2011). THE STABILITY BOX IN INTERVAL DATA FOR MINIMIZING THE SUM OF WEIGHTED COMPLETION TIMES . In Proceedings of 1st International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-8425-78-2, pages 14-23. DOI: 10.5220/0003574400140023


in Bibtex Style

@conference{simultech11,
author={Yuri N. Sotskov and Natalja G. Egorova and Tsung-Chyan Lai and Frank Werner},
title={THE STABILITY BOX IN INTERVAL DATA FOR MINIMIZING THE SUM OF WEIGHTED COMPLETION TIMES},
booktitle={Proceedings of 1st International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},
year={2011},
pages={14-23},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003574400140023},
isbn={978-989-8425-78-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of 1st International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - THE STABILITY BOX IN INTERVAL DATA FOR MINIMIZING THE SUM OF WEIGHTED COMPLETION TIMES
SN - 978-989-8425-78-2
AU - N. Sotskov Y.
AU - G. Egorova N.
AU - Lai T.
AU - Werner F.
PY - 2011
SP - 14
EP - 23
DO - 10.5220/0003574400140023