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An algorithm for nonlinear optimization problems with binary variables

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  • Walter Murray
  • Kien-Ming Ng

Abstract

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Suggested Citation

  • Walter Murray & Kien-Ming Ng, 2010. "An algorithm for nonlinear optimization problems with binary variables," Computational Optimization and Applications, Springer, vol. 47(2), pages 257-288, October.
    • Handle: RePEc:spr:coopap:v:47:y:2010:i:2:p:257-288
    DOI: 10.1007/s10589-008-9218-1
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    Citations

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    Cited by:

    1. Marianna De Santis & Stefano Lucidi & Francesco Rinaldi, 2013. "A new class of functions for measuring solution integrality in the Feasibility Pump approach: Complete Results," DIAG Technical Reports 2013-05, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    2. Rogeau, A. & Girard, R. & Abdelouadoud, Y. & Thorel, M. & Kariniotakis, G., 2020. "Joint optimization of building-envelope and heating-system retrofits at territory scale to enhance decision-aiding," Applied Energy, Elsevier, vol. 264(C).
    3. Michael Haythorpe & Walter Murray, 2022. "Finding a Hamiltonian cycle by finding the global minimizer of a linearly constrained problem," Computational Optimization and Applications, Springer, vol. 81(1), pages 309-336, January.
    4. Md Saiful Islam & Md Sarowar Morshed & Md. Noor-E-Alam, 2022. "A Computational Framework for Solving Nonlinear Binary Optimization Problems in Robust Causal Inference," INFORMS Journal on Computing, INFORMS, vol. 34(6), pages 3023-3041, November.
    5. Phan, Dzung T. & Zhu, Yada, 2015. "Multi-stage optimization for periodic inspection planning of geo-distributed infrastructure systems," European Journal of Operational Research, Elsevier, vol. 245(3), pages 797-804.
    6. Javier Cano & Javier M. Moguerza & Francisco J. Prieto, 2017. "Using Improved Directions of Negative Curvature for the Solution of Bound-Constrained Nonconvex Problems," Journal of Optimization Theory and Applications, Springer, vol. 174(2), pages 474-499, August.
    7. Hajime Kawakami, 2015. "Reconstruction algorithm for unknown cavities via Feynman–Kac type formula," Computational Optimization and Applications, Springer, vol. 61(1), pages 101-133, May.
    8. Marianna De Santis & Stefano Lucidi & Francesco Rinaldi, 2011. "A new class of functions for measuring solution integrality in the Feasibility Pump approach," DIS Technical Reports 2011-08, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    9. Wendel Melo & Marcia Fampa & Fernanda Raupp, 2018. "Integrality gap minimization heuristics for binary mixed integer nonlinear programming," Journal of Global Optimization, Springer, vol. 71(3), pages 593-612, July.
    10. Ma, Cheng & Zhang, Liansheng, 2015. "On an exact penalty function method for nonlinear mixed discrete programming problems and its applications in search engine advertising problems," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 642-656.
    11. Xiao Liu & Simge Küçükyavuz, 2018. "A polyhedral study of the static probabilistic lot-sizing problem," Annals of Operations Research, Springer, vol. 261(1), pages 233-254, February.
    12. Abdolmaleki, Mojtaba & Shahabi, Mehrdad & Yin, Yafeng & Masoud, Neda, 2021. "Itinerary planning for cooperative truck platooning," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 91-110.
    13. Nitish Das & P. Aruna Priya, 2019. "A Gradient-Based Interior-Point Method to Solve the Many-to-Many Assignment Problems," Complexity, Hindawi, vol. 2019, pages 1-13, July.
    14. Wendel Melo & Marcia Fampa & Fernanda Raupp, 2014. "Integrating nonlinear branch-and-bound and outer approximation for convex Mixed Integer Nonlinear Programming," Journal of Global Optimization, Springer, vol. 60(2), pages 373-389, October.
    15. M. Santis & F. Rinaldi, 2012. "Continuous Reformulations for Zero–One Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 75-84, April.
    16. Wendel Melo & Marcia Fampa & Fernanda Raupp, 2020. "An overview of MINLP algorithms and their implementation in Muriqui Optimizer," Annals of Operations Research, Springer, vol. 286(1), pages 217-241, March.
    17. Marianna De Santis & Francesco Rinaldi, 2010. "Continuous reformulations for zero-one programming problems," DIS Technical Reports 2010-16, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    18. Rupaj Kumar Nayak & Nirmalya Kumar Mohanty, 2020. "Solution of boolean quadratic programming problems by two augmented Lagrangian algorithms based on a continuous relaxation," Journal of Combinatorial Optimization, Springer, vol. 39(3), pages 792-825, April.
    19. Azizipanah-Abarghooee, Rasoul & Golestaneh, Faranak & Gooi, Hoay Beng & Lin, Jeremy & Bavafa, Farhad & Terzija, Vladimir, 2016. "Corrective economic dispatch and operational cycles for probabilistic unit commitment with demand response and high wind power," Applied Energy, Elsevier, vol. 182(C), pages 634-651.
    20. S. Lucidi & F. Rinaldi, 2010. "Exact Penalty Functions for Nonlinear Integer Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 479-488, June.

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