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αBB Algorithm

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Encyclopedia of Optimization

Article Outline

Keywords

General Framework

Convexification and Underestimation Strategy

  Function Decomposition

  Linear and Convex Terms

  Bilinear Terms

  Trilinear, Fractional and Fractional Trilinear Terms

  Univariate Concave Terms

  General Nonconvex Terms

  Overall Convexification/Relaxation Strategy

  Equality Constraints

Branching Variable Selection

  Least Reduced Axis Rule

  Term Measure

  Variable Measure

Variable Bound Updates

  Optimization-Based Approach

  Interval-Based Approach

Algorithmic Procedure

Computational Experience

Conclusions

See also

References

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References

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© 2008 Springer-Verlag

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Adjiman, C., Floudas, C.A. (2008). αBB Algorithm . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_11

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