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Original Articles

Branch and bound with simplicial partitions for global optimization

Pages 145-159 | Received 29 Sep 2007, Published online: 14 Oct 2010

References

  • Baravykaite , M. , Belevičius , R. and Čiegis , R. 2002 . One application of the parallelization tool of master‐slave algorithms . Informatica , 13 (4) : 393 – 404 .
  • Baravykaite , M. and Čiegis , R. 2007 . An implementation of a parallel generalized branch and bound template . Mathematical Modelling and Analysis , 12 (3) : 277 – 289 .
  • Baravykaite , M. , Čiegis , R. and Žilinskas , J. 2005 . Template realization of generalized branch and bound algorithm . Mathematical Modelling and Analysis , 10 (3) : 217 – 236 .
  • Baravykaite , M. and Žilinskas , J. 2006 . “ Implementation of parallel optimization algorithms using generalized branch and bound template ” . In Computer Aided Methods in Optimal Design and Operations, volume 7 of Series on Computers and Operations Research , Edited by: Bogle , I.D.L. and Žilinskas , J. volume 7 , 21 – 28 . World Scientific .
  • &Belevi;ccaron;ius , R. , Valentinavičius , S. and Michnevič , E. 2002 . Multilevel optimization of grillages . Journal of Civil Engineering and Management , 8 (1) : 98 – 103 .
  • Čiegis , R. 2007 . “ On global minimization in mathematical modelling of engineering applications ” . In Models and Algorithms for Global Optimization, volume 4 of Springer Optimization and Its Applications Edited by: Törn , A. and Žilinskas , J. volume 4 , 299 – 310 . Springer
  • Čiegis , R. , Baravykaite , M. and &Belevi;ccaronius , R. 2006 . Parallel global optimization of foundation schemes in civil engineering . Lecture Notes in Computer Science , 3732 : 305 – 312 .
  • Floudas , C.A. 2000 . Deterministic Global Optimization: Theory, Methods and Applications, volume 37 of Nonconvex Optimization and its Applications , volume 37 , Kluwer Academic Publishers .
  • Hansen , E. and Walster , G.W. 2003 . Global Optimization Using Interval Analysis , 2nd edition , New York : Marcel Dekker .
  • Horst , R. , Pardalos , P.M. and Thoai , N.V. 2001 . Introduction to Global Optimization, volume 48 of Nonconvex Optimization and its Applications , 2nd edition , volume 48 , Kluwer Academic Publishers .
  • Madsen , K. and Žilinskas , J. 2002 . “ Parallel branch‐and bound attraction based methods for global optimization ” . In Stochastic and Global Optimization, volume 59 of Nonconvex Optimization and its Applications , Edited by: Dzemyda , G. , Šaltenis , V. and Žilinskas , A. volume 59 , 175 – 187 . Kluwer Academic Publishers .
  • Paulavičius , R. and Žilinskas , J. 2006 . Analysis of different norms and corresponding Lipschitz constants for global optimization . Technological and Economic Development of Economy , 12 (4) : 301 – 306 .
  • Paulavičius , R. and Žilinskas , J. 2007 . Analysis of different norms and corresponding Lipschitz constants for global optimization in multidimensional case . Information Technology and Control , 36 (4) : 383 – 387 .
  • Törn , A. and Žilinskas , A. 1989 . Global optimization . Lecture Notes in Computer Science , 350 : 1 – 252 .
  • Žilinskas , A. and Žilinskas , J. 2002 . Global optimization based on a statistical model and simplicial partitioning . Computers & Mathematics with Applications , 44 (7) : 957 – 967 .
  • Žilinskas , J. 2000 . Optimization of lipschitzian functions by simplex‐based branch and bound . Information Technology and Control , 1 (14) : 45 – 50 .
  • Žilinskas , J. 2001 . Black box global optimization inspired by interval methods . Information Technology and Control , 4 (21) : 53 – 60 .
  • Žilinskas , J. 2002 . Application of black box global optimization algorithm inspired by interval methods for practical problems . Information Technology and Control , 3 (24) : 76 – 82 .
  • Žilinskas , J. 2002 . Parallel algorithms for Lipschitz global optimization with simplicial partitioning . Information Technology and Control , 4 (25) : 32 – 36 .
  • Žilinskas , J. 2007 . Reducing of search space of multidimensional scaling problems with data exposing symmetries . Information Technology and Control , 36 (4) : 377 – 382 .

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