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 43 articles )

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  1. Araya, Ignacio; Neveu, Bertrand: lsmear: a variable selection strategy for interval branch and bound solvers (2018)
  2. Castillo Castillo, Pedro A.; Castro, Pedro M.; Mahalec, Vladimir: Global optimization of MIQCPs with dynamic piecewise relaxations (2018)
  3. Cozad, Alison; Sahinidis, Nikolaos V.: A global MINLP approach to symbolic regression (2018)
  4. Dalkiran, Evrim; Ghalami, Laleh: On linear programming relaxations for solving polynomial programming problems (2018)
  5. D’Ambrosio, Claudia; Furini, Fabio; Monaci, Michele; Traversi, Emiliano: On the product knapsack problem (2018)
  6. Del Pia, Alberto; Khajavirad, Aida: On decomposability of multilinear sets (2018)
  7. Hasan, M. M. Faruque: An edge-concave underestimator for the global optimization of twice-differentiable nonconvex problems (2018)
  8. Kannan, Rohit; Barton, Paul I.: Convergence-order analysis of branch-and-bound algorithms for constrained problems (2018)
  9. Kılınç, Mustafa R.; Sahinidis, Nikolaos V.: Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON (2018)
  10. Lee, Jon; Skipper, Daphne; Speakman, Emily: Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations (2018)
  11. Montanher, Tiago; Neumaier, Arnold; Domes, Ferenc: A computational study of global optimization solvers on two trust region subproblems (2018)
  12. Schweiger, Jonas: Exploiting structure in non-convex quadratic optimization and gas network planning under uncertainty (2018)
  13. Vigerske, Stefan; Gleixner, Ambros: SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework (2018)
  14. 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)
  15. Andrea Callia D’Iddio, Michael Huth: Manyopt: An Extensible Tool for Mixed, Non-Linear Optimization Through SMT Solving (2017) arXiv
  16. Bongartz, Dominik; Mitsos, Alexander: Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations (2017)
  17. 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)
  18. Boukouvala, Fani; Floudas, Christodoulos A.: ARGONAUT: algorithms for global optimization of constrained grey-box computational problems (2017)
  19. Buchheim, Christoph; D’Ambrosio, Claudia: Monomial-wise optimal separable underestimators for mixed-integer polynomial optimization (2017)
  20. Cafieri, Sonia; Omheni, Riadh: Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes (2017)

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