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The Bernstein Branch-and-Bound Unconstrained Global Optimization Algorithm for MINLP Problems

  • Bhagyesh V. PatilEmail author
  • P. S. V. Nataraj
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9553)

Abstract

In this work a Bernstein global optimization algorithm to solve unconstrained polynomial mixed-integer nonlinear programming (MINLP) problems is proposed. The proposed algorithm use a branch-and-bound framework and possesses several new features, such as a modified subdivision procedure, the Bernstein box consistency and the Bernstein hull consistency procedures to prune the solution search space. The performance of the proposed algorithm is numerically investigated and compared with previously reported Bernstein global optimization algorithm on a set of 10 test problems. The findings of the tests establishes the efficacy of the proposed algorithm over the previously reported Bernstein algorithm in terms of the chosen performance metrics.

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© Springer International Publishing Switzerland 2016

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 2.5 International License (http://creativecommons.org/licenses/by-nc/2.5/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Authors and Affiliations

  1. 1.Université de NantesNantes Cedex 3France
  2. 2.Systems and Control EngineeringIIT BombayMumbaiIndia

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