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# The Supporting Hyperplane Optimization Toolkit (SHOT)

SHOT is a solver for mixed-integer nonlinear programming (MINLP) problems. It is a global solver, i.e., guarantees to find the optimal solution (if one exists) to convex problems.

SHOT may be able to solve certain types of nonconvex problems to global optimality as well, but should mostly be considered an heuristic method for problems containing nonconvexities.

SHOT is described in the paper:
SHOT is a solver for convex mixed-integer nonlinear programming (MINLP) problems. It is
described in the paper:

Lundell, A. Kronqvist, J. and Westerlund, T. The Supporting Hyperplane Optimization Toolkit: A Polyhedral Outer Approximation Based
Convex MINLP Solver Utilizing a Single Branching Tree Approach (2018). http://www.optimization-online.org/DB_FILE/2018/06/6680.pdf

For more information, visit the project website at https://www.shotsolver.dev.
Some details are also given in:

- Kronqvist, J., Lundell, A. and Westerlund, T. Journal of Global Optimization (2016) 64: 249. https://doi.org/10.1007/s10898-015-0322-3
- Lundell, A., Kronqvist, J. and Westerlund, T. Proceedings of the XIII Global Optimization Workshop GOW’16 (2016). http://apolo.dps.uminho.pt/gow16/Proceedings_GOW16.pdf#page=112

See the INSTALL file for installation instructions.

The GAMS interface is contributed by Stefan Vigerske, GAMS Software GmbH.

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