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HPC 2019: Advances in High Performance Computing pp 327–339Cite as

BiqBin: Moving Boundaries for NP-hard Problems by HPC

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Part of the Studies in Computational Intelligence book series (SCI,volume 902)

Abstract

In this paper we present a parallel Branch and Bound (B&B) algorithm to solve the Stable Set Problem, which is a well-known combinatorial optimization problem. The algorithm is based on tight semidefinite programming bounds. Numerical results, based on using up to 192 CPU cores, show that this algorithm scales well.

This algorithm is available as a part of the online BiqBin solver, which enables online submissions of problem instances. After submission, it automatically generates computational jobs and runs them using the high-performance computer available at University of Ljubljana. BiqBin demonstrates how to bring HPC closer to specific user community – in our case the mathematical optimization community.

Keywords

  • High performance computing
  • Stable Set Problem
  • Online solver
  • Mathematical optimization

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  • DOI: 10.1007/978-3-030-55347-0_28
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Notes

  1. 1.

    http://www.euro-math-soc.eu/system/files/news/MathematicsforDigitalScience.pdf.

  2. 2.

    https://www.hipeac.net/v17.

  3. 3.

    http://www.prace-ri.eu/17th-call-for-proposals-for-project-access/.

  4. 4.

    https://ismp2018.sciencesconf.org/.

  5. 5.

    https://www.siam.org/meetings/op17/.

  6. 6.

    http://biqbin.fis.unm.si.

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Acknowledgment

The authors would like to thank to Slovenian Research Agency (ARRS) and to Austrian Science Foundation (FWF) for support via joint Austrian-Slovenian project nr. N1-0057 and via programs P2-0256 and P1-0383.

Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia

    Timotej Hrga & Janez Povh

  2. Faculty of Information Studies, Novo mesto, Slovenia

    Borut Lužar

  3. Alpen-Adria Universitaet Klagenfurt, Klagenfurt, Austria

    Angelika Wiegele

Authors
  1. Timotej Hrga
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  2. Borut Lužar
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  3. Janez Povh
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  4. Angelika Wiegele
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Corresponding author

Correspondence to Janez Povh .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technology, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Prof. Ivan Dimov

  2. Institute of Information and Communication Technology, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Prof. Stefka Fidanova

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Hrga, T., Lužar, B., Povh, J., Wiegele, A. (2021). BiqBin: Moving Boundaries for NP-hard Problems by HPC. In: Dimov, I., Fidanova, S. (eds) Advances in High Performance Computing. HPC 2019. Studies in Computational Intelligence, vol 902. Springer, Cham. https://doi.org/10.1007/978-3-030-55347-0_28

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