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Approximation guarantees of algorithms for fractional optimization problems arising in dispatching rules for INDS problems

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Abstract

In this paper, we provide approximation guarantees of algorithms for the fractional optimization problems arising in the dispatching rules from recent literature for Integrated Network Design and Scheduling problems. These fractional optimization problem are proved to be NP-hard. The approximation guarantees are based both on the number of arcs in the network and on the number of machines in the scheduling environment. We further demonstrate, by example, the tightness of the factors for these approximation algorithms.

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Acknowledgements

The work of Thomas C. Sharkey was supported in part by the U.S. National Science Foundation under Grant Number CMMI-1254258.

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  1. Department of Industrial and Systems Engineering, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180, USA

    Hongtan Sun & Thomas C. Sharkey

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  1. Hongtan Sun
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  2. Thomas C. Sharkey
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Correspondence to Hongtan Sun.

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Sun, H., Sharkey, T.C. Approximation guarantees of algorithms for fractional optimization problems arising in dispatching rules for INDS problems. J Glob Optim 68, 623–640 (2017). https://doi.org/10.1007/s10898-017-0498-9

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  • DOI: https://doi.org/10.1007/s10898-017-0498-9

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