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Algorithmic Improvements Using a Heuristic Parameter, Reject Index for Interval Optimization

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Encyclopedia of Optimization

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Article Outline

Keywords and Phrases

Introduction

Subinterval Selection

Multisection

Heuristic Rejection

References

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References

  1. Casado LG, García I (1998) New Load Balancing Criterion for Parallel Interval Global Optimization Algorithms. In: Proceedings of the 16th IASTED International Conference on Applied Informatics, Garmisch-Partenkirchen, pp 321–323

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  2. Casado LG, García I, Csendes T (2000) A new multisection technique in interval methods for global optimization. Computing 65:263–269

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  3. Casado LG, García I, Csendes T (2001) A heuristic rejection criterion in interval global optimization algorithms. BIT 41:683–692

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  4. Casado LG, García I, Csendes T, Ruiz VG (2003) Heuristic Rejection in Interval Global Optimization. JOTA 118:27–43

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  5. Csallner AE, Csendes T, Markót MC (2000) Multisection in Interval Branch-and-Bound Methods for Global Optimization I. Theoretical Results. J Global Optim 16:371–392

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  6. Csendes T (2001) New subinterval selection criteria for interval global optimization. J Global Optim 19:307–327

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  7. Csendes T (2003) Numerical experiences with a new generalized subinterval selection criterion for interval global optimization. Reliab Comput 9:109–125

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  8. Csendes T (2004) Generalized subinterval selection criteria for interval global optimization. Numer Algorithms 37:93–100

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  9. Kreinovich V, Csendes T (2001) Theoretical Justification of a Heuristic Subbox Selection Criterion for Interval Global Optimization. CEJOR 9:255–265

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  10. Markót MC, Csendes T, Csallner AE (2000) Multisection in Interval Branch-and-Bound Methods for Global Optimization II. Numerical Tests. J Global Optim 16:219–228

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  11. Markót MC, Fernandez J, Casado LG, Csendes T (2006) New interval methods for constrained global optimization. Math Programm 106:287–318

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Author information

Authors and Affiliations

  1. University of Szeged, Szeged, Hungary

    Tibor Csendes

Authors
  1. Tibor Csendes
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Csendes, T. (2008). Algorithmic Improvements Using a Heuristic Parameter, Reject Index for Interval Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_8

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