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 96 articles )

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  1. Berthold, Timo; Witzig, Jakob: Conflict analysis for MINLP (2021)
  2. Elloumi, Sourour; Lambert, Amélie; Lazare, Arnaud: Solving unconstrained 0-1 polynomial programs through quadratic convex reformulation (2021)
  3. Füllner, Christian; Kirst, Peter; Stein, Oliver: Convergent upper bounds in global minimization with nonlinear equality constraints (2021)
  4. Liers, Frauke; Martin, Alexander; Merkert, Maximilian; Mertens, Nick; Michaels, Dennis: Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks (2021)
  5. Liu, Yanchao: A note on solving DiDi’s driver-order matching problem (2021)
  6. Najman, Jaromił; Bongartz, Dominik; Mitsos, Alexander: Linearization of McCormick relaxations and hybridization with the auxiliary variable method (2021)
  7. Pappas, Iosif; Diangelakis, Nikolaos A.; Pistikopoulos, Efstratios N.: The exact solution of multiparametric quadratically constrained quadratic programming problems (2021)
  8. Reyes, Victor; Araya, Ignacio: \textscAbsTaylor: upper bounding with inner regions in nonlinear continuous global optimization problems (2021)
  9. Wang, Akang; Gounaris, Chrysanthos E.: On tackling reverse convex constraints for non-overlapping of unequal circles (2021)
  10. Alimo, Ryan; Beyhaghi, Pooriya; Bewley, Thomas R.: Delaunay-based derivative-free optimization via global surrogates. III: nonconvex constraints (2020)
  11. Bajaj, Ishan; Faruque Hasan, M. M.: Deterministic global derivative-free optimization of black-box problems with bounded Hessian (2020)
  12. Ceccon, Francesco; Siirola, John D.; Misener, Ruth: SUSPECT: MINLP special structure detector for Pyomo (2020)
  13. Del Pia, Alberto; Khajavirad, Aida; Sahinidis, Nikolaos V.: On the impact of running intersection inequalities for globally solving polynomial optimization problems (2020)
  14. Enayati, Shakiba; Özaltın, Osman Y.: Optimal influenza vaccine distribution with equity (2020)
  15. Fischetti, Matteo; Monaci, Michele: A branch-and-cut algorithm for mixed-integer bilinear programming (2020)
  16. Grimstad, Bjarne; Knudsen, Brage R.: Mathematical programming formulations for piecewise polynomial functions (2020)
  17. Huster, Wolfgang R.; Schweidtmann, Artur M.; Mitsos, Alexander: Working fluid selection for organic rankine cycles via deterministic global optimization of design and operation (2020)
  18. Kong, Lingxun; Maravelias, Christos T.: On the derivation of continuous piecewise linear approximating functions (2020)
  19. Lian, Zhigang; Wang, Songhua; Chen, Yangquan: A velocity-combined local best particle swarm optimization algorithm for nonlinear equations (2020)
  20. Manno, Andrea; Amaldi, Edoardo; Casella, Francesco; Martelli, Emanuele: A local search method for costly black-box problems and its application to CSP plant start-up optimization refinement (2020)

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