Mixed-integer problems are those that involve both continuous and integer variables. The introduction of integer variables allows the modeling of complex decisions through graph theoretic representations denoted assuperstructures(Floudas, 1995). This representation leads to the simultaneous determination of the...
Outer approximation (OA) for solving convex mixed-integer nonlinear programming (MINLP) problems is heavily dependent on the convexity of functions and a natural issue is to relax the convexity assumption. This paper is devoted to OA for dealing with a pseudo-convex MINLP pro...
-result.fun, np.sum(np.round(result.x).astype(np.int_))returnresult.x,-result.fun,np.sum(...
The first of these two programs finds an acceptable penalty coefficient and the second uses that coefficient to generate feasible solutions to the given discretecontinuous nonliner programming problem. One test problem from the literature that has been optimally solved by this method involves nonlinear ...
programming (SQP) stabilised by using trust regions. It can deal with both convex and nonconvex problems and problems with possibly expensive function evaluations. In addition, it is not assumed that the mixed integer problem has to be relaxable; the function evaluations are requested only at ...
Lin, "Global optimization of signomial mixed-integer nonlinear programming problems with free variables," Journal of Global Optimization, vol. 42, no. 1, pp. 39-49, 2008.Jung-Fa Tsai,Ming-Hua Lin.Global optimization of signomial mixed-integer nonlinear programming problems with free variables[J...
Matlab solvers for MINLP problem (Mixed-Integer Nonlinear Programming). Solves Nonconvex, convex and pseudoconvex prroblems.
The MISQP solver handles dense mixed-integer nonlinear programming problems by a modified sequential quadratic programming (SQP) method. Under the assumption that integer variables have a smooth influence on the model functions, i.e., that function values do not change drastically when in- or decre...
permeator model and mixed-integer nonlinear programming (MINLP) is proposed. A permeator system superstructure is used to embed a very large number of possible network configurations and allows the permeator feed-side pressure to be fixed or a design variable. A MINLP design model is devel...
Matlab solvers for MINLP problem (Mixed-Integer Nonlinear Programming). Sparse and Dense integer nonlinear optimization tools and subsolvers.