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. Journal of Global Optimization (2022).

The nonconvex features are described in:

Lundell, A. and Kronqvist, J., Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT. Journal of Global Optimization (2021).

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.

  • 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).

  • 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).

  • 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.

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