In the article on the example of isomerization in the cascade of reactors with countercurrent cooling the computer modeling of optimal operational control of start-up and operation of the cascade of reactors is considered. The decision of optimization tasks was performed within Mathcad using the developed original optimization procedure using Mminimize and procedures Rkadapt to solve the system of differential equations and Matlab using the fmincon optimization procedures, genetic algorithm and procedure ode15s to solve the system of differential equations. Fragments of programs and results of the solution using Mathcad, Matlab are given
To study the mechanisms of complex chemical reactions and determine their kinetic parameters, the article proposes a method for reduction of optimization parameters. Using the proposed method, the parametric identification of a complex chemical reaction is considered: a set of kinetic constants is found that describes the experimental curves of the concentration-time dependence within this reaction model in the best way. The practical application of the method is illustrated by solving problems of parametric identification of complex chemical reactions using Mathcad. The proposed algorithm can be easily implemented using both traditional and free software.
Methods of multi-criteria optimization and the use of "free" software for solving multipurpose optimization problems are considered. Currently, the MATLAB function library (Optimization Toolbox) is successfully used to solve them. MATLAB, which is a high-tech software product, has a rather high cost. Therefore, the authors proposed the use of free alternatives to MATLAB, namely software products GAMS and Octave for solving such problems. The article presents mathematical statements of practical problems of multi-criteria optimization and the results of their solution using NEOS Server: State-of-the-Art Solvers for Numerical Optimization (GAMS) and the free GNU OCTAVE program. The results obtained are confirmed by calculations in MATLAB.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.