Yazar "Saeed, Muhammad" seçeneğine göre listele

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    Solution of chemical dynamic optimization systems using novel differential gradient evolution algorithm
    (Iop Publishing Ltd, 2021) Tabassum, Muhammad Farhan; Saeed, Muhammad; Akgul, Ali; Farman, Muhammad; Akram, Sana
    tOptimization for all disciplines is essential and relevant. Optimization has played a vital role in industrial reactors' design and operation, separation processes, heat exchangers, and complete plants in Chemical Engineering. In this paper, a novel hybrid meta-heuristic optimization algorithm which is based on Differential Evolution (DE), Gradient Evolution (GE), and Jumping Technique (+) named 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 above-mentioned 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 state-of-the-art meta-heuristics. The comparison shows that the proposed algorithm can outperform the other state-of-the-art meta-heuristics in almost all benchmark functions. To evaluate the precision and robustness of the DGE+ it has also been applied to complex chemical dynamic optimization systems such as optimization of a multimodal continuous stirred tank reactor, Lee-Ramirez bioreactor, Six-plate gas absorption tower, and optimal operation of alkylation unit, the results of comparison revealed that the proposed algorithm can provide very compact, competitive and promising performance overall complex non-linear chemical design problems.
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    Öğe
    Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Pade-approximation
    (Pergamon-Elsevier Science Ltd, 2020) Tabassum, Muhammad Farhan; Saeed, Muhammad; Akgul, Ali; Farman, Muhammad; Chaudhry, Nazir Ahmad
    Human Immunodeficiency Virus (HIV) infection has become a significant infectious disease for both developed and developing countries that can contribute to the acquired immunodeficiency syndrome (AIDS). In this study a nonlinear mathematical model for the transmission of HIV/AIDS has been proposed and discussed in a populace of changing size with transfer of infection. The theorems and propositions have been constructed for well-posed-ness and bounded-ness of the model respectively. Evolutionary Pade-approximation (EPA) technique has been used for the treatment of this nonlinear mathematical model. Initial conditions are converted into constraints and constraints' problem is transformed into unconstrained by using penalty function. In the suggested EPA method, no step lengths have to be chosen, also converges to a steady state point is proved. The model for the transmission of HIV/AIDS also solved by using non-standard finite difference (NSFD) scheme and results were compared, simulations justify our outcomes more efficient and compact. Finally, a convergence and error analysis evidence that the convergence speed of EPA is superior that of the NSFD. (C) 2020 Elsevier Ltd. All rights reserved.