AMIGO

AMIGO: Advanced multidimensional interval analysis global optimization algorithm AMIGO is an algorithm for solving smooth global optimization problems over n-dimensional boxes. It is mainly an extension of an algorithm developed by L. G. Casado, J. A. Martínez, I. García and Ya. D. Sergeyev [J. Glob. Optim. 25, No. 4, 345–362 (2003; Zbl 1046.90060)]. AMIGO differs from standard interval methods for solving this class of problems by a refined use of first-order information. 40 numerical tests and comparisons show the effectiveness of this refinement


References in zbMATH (referenced in 10 articles , 1 standard article )

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  1. Fernández, José; Salhi, Said; -Tóth, Boglárka G.: Location equilibria for a continuous competitive facility location problem under delivered pricing (2014)
  2. Fernández, José; Tóth, Boglárka: Obtaining the efficient set of nonlinear biobjective optimization problems via interval branch-and-bound methods (2009)
  3. Tóth, Boglárka; Fernández, José; Pelegrín, Blas; Plastria, Frank: Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models (2009)
  4. Casado, L.G.; Martínez, J.A.; García, I.; Hendrix, E.M.T.: Branch-and-bound interval global optimization on shared memory multiprocessors (2008)
  5. Ling, Cong; Wu, Xiaofu: A back-iteration method for reconstructing chaotic sequences in finite-precision machines (2008)
  6. Fernández, José; Pelegrín, Blas; Plastria, Frank; Tóth, Boglárka: Solving a huff-like competitive location and design model for profit maximization in the plane (2007)
  7. Fernández, José; Pelegrín, Blas; Plastria, Frank; Tóth, Boglárka: Planar location and design of a new facility with inner and outer competition: an interval lexicographical-like solution procedure (2007)
  8. Fernández, José; Tóth, Boglárka: Obtaining an outer approximation of the efficient set of nonlinear biobjective problems (2007)
  9. Tóth, Boglárka; Casado, Leocadio G.: Multi-dimensional pruning from the Baumann point in an interval global optimization algorithm (2007)
  10. Martínez, J. A.; García, I.; Tóth, B.: AMIGO: Advanced multidimensional interval analysis global optimization algorithm (2004)