Publications

The SHOT solver is best described in the following paper:

Lundell, A., Kronqvist, J. and Westerlund T. The Supporting Hyperplane Optimization Toolkit for Convex MINLP. Optimization Online (2020). http://www.optimization-online.org/DB_FILE/2018/06/6680.pdf

The nonconvex features are described in:

Lundell, A. and Kronqvist, J., Polyhedral Approximation Strategies in Nonconvex Mixed-Integer Nonlinear Programming. Optimization Online (2020). http://www.optimization-online.org/DB_HTML/2020/03/7691.html

Please cite these papers if you use SHOT for research purposes.

Additional relevant publications include:

  • Kronqvist, J., Lundell, A. and Westerlund, T. The extended supporting hyperplane algorithm for convex mixed-integer nonlinear programming. Journal of Global Optimization (2016) 64: 249. https://doi.org/10.1007/s10898-015-0322-3

  • Lundell, A., Kronqvist, J. and Westerlund, T. Improvements to the Supporting Hyperplane Optimization Toolkit Solver for Convex MINLP, Proceedings of the XIII Global Optimization Workshop GOW’16 (2016). http://apolo.dps.uminho.pt/gow16/Proceedings_GOW16.pdf#page=112

  • Kronqvist, J., Bernal, D.E, Lundell, A. and Grossmann, I.E. A review and comparison of solvers for convex MINLP. Optimization and Engineering 20(2), pp. 397-455 (2018). https://link.springer.com/article/10.1007/s11081-018-9411-8.

  • Lundell, A. and Kronqvist, J. On Solving Nonconvex MINLP Problems with SHOT (2019). In: Le Thi H., Le H., Pham Dinh T. (editors) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham.