ANTIGONE

ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations. This manuscript introduces ANTIGONE, Algorithms for coNTinuous/Integer Global Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization framework. ANTIGONE is the evolution of the Global Mixed-Integer Quadratic Optimizer, GloMIQO, to general nonconvex terms. The purpose of this paper is to show how the extensible structure of ANTIGONE realizes our previously-proposed mixed-integer quadratically-constrained quadratic program and mixed-integer signomial optimization computational frameworks. To demonstrate the capacity of ANTIGONE, this paper presents computational results on a test suite of 2,571 problems from standard libraries and the open literature; we compare ANTIGONE to other state-of-the-art global optimization solvers.


References in zbMATH (referenced in 35 articles )

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  1. Araya, Ignacio; Neveu, Bertrand: lsmear: a variable selection strategy for interval branch and bound solvers (2018)
  2. Cozad, Alison; Sahinidis, Nikolaos V.: A global MINLP approach to symbolic regression (2018)
  3. Kılınç, Mustafa R.; Sahinidis, Nikolaos V.: Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON (2018)
  4. Lee, Jon; Skipper, Daphne; Speakman, Emily: Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations (2018)
  5. Schweiger, Jonas: Exploiting structure in non-convex quadratic optimization and gas network planning under uncertainty (2018)
  6. Vigerske, Stefan; Gleixner, Ambros: SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework (2018)
  7. Zhou, Kai; Kılınç, Mustafa R.; Chen, Xi; Sahinidis, Nikolaos V.: An efficient strategy for the activation of MIP relaxations in a multicore global MINLP solver (2018)
  8. Andrea Callia D’Iddio, Michael Huth: Manyopt: An Extensible Tool for Mixed, Non-Linear Optimization Through SMT Solving (2017) arXiv
  9. Bongartz, Dominik; Mitsos, Alexander: Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations (2017)
  10. Boukouvala, Fani; Faruque Hasan, M. M.; Floudas, Christodoulos A.: Global optimization of general constrained grey-box models: new method and its application to constrained PDEs for pressure swing adsorption (2017)
  11. Boukouvala, Fani; Floudas, Christodoulos A.: ARGONAUT: algorithms for global optimization of constrained grey-box computational problems (2017)
  12. Buchheim, Christoph; D’Ambrosio, Claudia: Monomial-wise optimal separable underestimators for mixed-integer polynomial optimization (2017)
  13. Cafieri, Sonia; Omheni, Riadh: Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes (2017)
  14. Gerard, D.; Köppe, M.; Louveaux, Q.: Guided dive for the spatial branch-and-bound (2017)
  15. Gleixner, Ambros M.; Berthold, Timo; Müller, Benjamin; Weltge, Stefan: Three enhancements for optimization-based bound tightening (2017)
  16. Harwood, Stuart M.; Barton, Paul I.: How to solve a design centering problem (2017)
  17. Kallrath, Josef: Packing ellipsoids into volume-minimizing rectangular boxes (2017)
  18. Khan, Kamil A.; Watson, Harry A. J.; Barton, Paul I.: Differentiable McCormick relaxations (2017)
  19. Khor, Cheng Seong; Varvarezos, Dimitrios: Petroleum refinery optimization (2017)
  20. Lee, Jon; Skipper, Daphne: Virtuous smoothing for global optimization (2017)

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Further publications can be found at: http://helios.princeton.edu/ANTIGONE/publications.html