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A constrained interval approach to the generalized distance geometry problem

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Abstract

This paper presents a new approach to the generalized distance geometry problem, based on a model that uses constraint interval arithmetic. In addition to theoretical results, we give some computational experiments that illustrate the better performance of the proposed approach, compared to others from the literature.

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Acknowledgements

The first author acknowledges the financial support from FAPESP (Brazil), Grant 2016/21459-0. The second and third authors acknowledge the financial support from FAPESP and CNPq (Brazil). The authors would like to thank the anonymous referees that made very important comments and valuable suggestions to this work.

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Authors and Affiliations

  1. Federal University of São Paulo, Av. Cesar Lattes 1211, São José dos Campos, São Paulo, Brazil

    Luiz Leduino de Salles Neto

  2. University of Campinas, IMECC-UNICAMP, Campinas, SP, 13081-970, Brazil

    Carlile Lavor

  3. University of Colorado Denver, Student Commons Building, Suite 4000, 1201 Larimer Street, Denver, CO, USA

    Weldon Lodwick

Authors
  1. Luiz Leduino de Salles Neto
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  2. Carlile Lavor
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  3. Weldon Lodwick
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Correspondence to Luiz Leduino de Salles Neto.

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de Salles Neto, L.L., Lavor, C. & Lodwick, W. A constrained interval approach to the generalized distance geometry problem. Optim Lett 14, 483–492 (2020). https://doi.org/10.1007/s11590-018-1301-7

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  • DOI: https://doi.org/10.1007/s11590-018-1301-7

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