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The GEKKO Python package [1] solves large-scale mixed-integer and differential algebraic equations with nonlinear programming solvers (IPOPT, APOPT, BPOPT, SNOPT, MINOS). Modes of operation include machine learning, data reconciliation, real-time optimization, dynamic simulation, and nonlinear model predictive control .
GEKKO: Python 0.2.8 / August 2020 Yes Yes Dual (Commercial, academic) GEKKO is a Python package for machine learning and optimization of mixed-integer and differential algebraic equations. It is coupled with large-scale solvers for linear, quadratic, nonlinear, and mixed integer programming (LP, QP, NLP, MILP, MINLP).
Given a transformation between input and output values, described by a mathematical function, optimization deals with generating and selecting the best solution from some set of available alternatives, by systematically choosing input values from within an allowed set, computing the output of the function and recording the best output values found during the process.
Julia, MATLAB, Python are mathematical programming languages that have APMonitor integration through web-service APIs. The GEKKO Optimization Suite is a recent extension of APMonitor with complete Python integration. The interfaces are built-in optimization toolboxes or modules to both load and process solutions of optimization problems.
While algebraic modelling languages were typically isolated, specialized and commercial languages, more recently algebraic modelling languages started to appear in the form of open-source, specialized libraries within a general-purpose language, like Gekko or Pyomo for Python or JuMP for the Julia language.
Gekko - simulation software in Python with machine learning and optimization; GNU Octave - an open-source mathematical modeling and simulation software very similar to using the same language as MATLAB and Freemat. JModelica.org is a free and open source software platform based on the Modelica modeling language.
SNOPT, for Sparse Nonlinear OPTimizer, is a software package for solving large-scale nonlinear optimization problems written by Philip Gill, Walter Murray and Michael Saunders. SNOPT is mainly written in Fortran , but interfaces to C , C++ , Python and MATLAB are available.
The general algebraic modeling system (GAMS) is a high-level modeling system for mathematical optimization.GAMS is designed for modeling and solving linear, nonlinear, and mixed-integer optimization problems.