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There are several MINLP solvers available, both free codes from
research institutions and commercial codes from various vendors. The
solvers differ in the methods they use, in whether they find globally
optimal solution with proven optimality, and in the size of models
they can handle, and in the format of models they accept.
A recent survey of MINLP solver software has been given in
this paper.
In the following, we list most available MIQCP and general MINLP solvers (known to us). A "∗" indicates, that the solver is available within GAMS.
MIQCP Solvers:
| ∗ | CPLEX | IBM | |
| ∗ | FICO XPRESS | FICO | |
| ∗ | GloMIQO | R. Misener and C. A. Floudas, Princeton University | |
| ∗ | MOSEK | MOSEK ApS | |
| MINLP Solvers: | |||
| ∗ | AlphaECP | T. Westerlund, Åbo Akademi University, Finland | |
| AIMMS Outer-Approximation | Paragon Decision Technology | ||
| ∗ | BARON | N. Sahinidis, Carnegie Mellon University; M. Tawarmalani, Purdue University | |
| ∗ | Bonmin | P. Bonami, Marseille University | |
| ∗ | Couenne | P. Belotti, Clemson University | |
| ∗ | DICOPT | I.E. Grossmann, Carnegie Mellon University | |
| FICO XPRESS-SLP | FICO | ||
| FilMINT | S. Leyffer, Argonne National Lab.; J.T. Linderoth, Lehigh University | ||
| ∗ | KNITRO | Ziena Optimization, Inc. | |
| ∗ | LindoAPI | LINDO Systems, Inc. | |
| MIDACO | M. Schlüter, Birmingham University | ||
| MILANO | H.Y. Benson, Drexel University | ||
| MINLP_BB | R. Fletcher, Dundee University; S. Leyffer, Argonne National Lab. | ||
| MISQP | K. Schittkowski, Bayreuth University | ||
| ∗ | OQNLP | OptTek Systems, Inc.; Optimal Methods, Inc. | |
| ∗ | SBB | ARKI Consulting and Development A/S | |
| ∗ | SCIP | Zuse Institute Berlin | |