Discontinuity, Nonlinearity, and Complexity
Solution of NonLinear Chemical Processes using Novel Differential Gradient Evolution Algorithm
Discontinuity, Nonlinearity, and Complexity 11(1) (2022) 161181  DOI:10.5890/DNC.2022.03.014
Muhammad Farhan Tabassum$^{1}$, Nazir Ahmad Chaudhry$^{2}$, Ali
Akg "{u}l$^{3}$ , Muhammad Farman$^{4}$, Sana Akram$^{1}$
$^{1}$ Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan
$^{2}$ Department of Mathematics, Faculty of Engineering, Lahore Leads University, Lahore, Pakistan
$^{3}$ Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
$^{4}$ Department of Mathematics and Statistics, University of Lahore, Lahore, 54000, Pakistan
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Abstract
Optimization for all disciplines is very important and relevant. Optimization has played a key role in the design and operation of industrial reactors, separation processes, heat exchangers and complete plants in Chemical Engineering. In this paper, a novel hybrid metaheuristic optimization algorithm which is based on Differential Evolution (DE), Gradient Evolution (GE) and Jumping Technique (+) named as Differential Gradient Evolution Plus (DGE+) is presented. The main concept of this hybrid algorithm is to enhance its exploration and exploitation ability. The proposed algorithm hybridizes the abovementioned algorithms with the help of an improvised dynamic probability distribution, additionally provides a new shake off method to avoid premature convergence towards local minima. The performance of DGE+ is investigated in thirteen benchmark unconstraint functions and the results are compared to the other stateoftheart metaheuristics. The comparison shows that the proposed algorithm is able to outperform the other stateoftheart metaheuristics in almost all benchmark functions. To evaluate the efficiency of the DGE+ it has also been applied to complex constrained nonlinear chemical design problems such as optimal operation of alkylation unit, reactor network design, optimal design of heat exchanger network, optimization of an isothermal continuous stirred tank reactor, the results of comparison revealed that the proposed algorithm is able to provide very compact, competitive and promising performance.
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