# 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.* Journal of Global Optimization (2022). <https://link.springer.com/article/10.1007/s10898-022-01128-0>

#### 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). <https://doi.org/10.1007/s10898-021-01006-1>

{% hint style="success" %}
Please cite these papers if you use SHOT for research purposes.
{% endhint %}

#### **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.


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