Browsing by Author "Muhammad Farhan Tabassum"

Now showing 1 - 4 of 4
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    Artificial showering algorithm: a new meta-heuristic for unconstrained optimization
    (Science International, 2015) Javaid Ali; Muhammad Saeed; Muhammad Luqman; Muhammad Farhan Tabassum
    A novel meta-heuristic known as Artificial Showering Algorithm (ASHA) is presented in this paper. The proposed method is based on flow and accumulation phenomena of water units distributed by human controlled equipment in an ideal field representing the search space. The developed method is applied to benchmarking test functions and quality solutions are obtained. Comparisons witness that the method even at its evolvement phase performs better than pioneering algorithms like Genetic Algorithm, Differential Evolution and Simulated Annealing method.
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    Solution of 7 bar tress model using derivative free methods.
    (Proceedings of the Pakistan Academy of Sciences, 2015) Muhammad Saeed; Muhammad Farhan Tabassum
    The focus of this research is to formulate optimization model of 7-bar trusses along with stress, stability and deflection constraints. The derivative free methods are used for the optimization of engineering design problems. These methods are basically designed for unconstrained optimization problems. In formulated optimization truss problems the constraints are handled by using exterior penalty functions. The results of the truss optimization model are obtained by using MATLAB which demonstrate the effectiveness and applicability of these derivative free methods.
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    Stochastic algorithms for practical optimization
    (UMT Lahore, 2020-12-18) Muhammad Farhan Tabassum
    Stochastic is a research area that delivers general purpose high quality optimization algorithms, proved effectual in dealing with complex practical optimization problems. Success of stochastic greatly depends on their aptitude to establish equilibrium between their essential characters like diversification and intensification. But in 1995, no free lunch theorems by Wolpert and Macready established a general opinion that all algorithms perform equally when averaged over the whole function space and hence none of them can be claimed to be the best over the entire function space. For this reason, the basic algorithms require essential refinements and further developments. The main goal of this thesis is to develop new effective hybrid stochastics strategies and then to apply the developed hybrid stochastic algorithms to complex practical problems. Generally, hybridization is carried out by integrating powerful components of different algorithms, possibly of different natures. The first hybrid stochastic algorithm proposed in this work is Evolutionary Simplex Adaptive Hooke-Jeeves (ESAHJ) Algorithm which is a combination of Genetic Algorithm and modified Hooke-Jeeves method. The second proposed hybrid optimization algorithm is based on Differential Evolution (DE), Gradient Evolution (GE) and Jumping Technique named as Differential Gradient Evolution Plus (DGE+). The proposed algorithm hybridizes the above mentioned algorithms with the help of an improvised probability distribution, additionally provides a new shake off method to avoid premature convergence towards local optima. The third hybrid technique is implemented with the collaboration of Differential Evolution with Padé Approximation and named as Evolutionary Padé Approximation (EPA) scheme. The last approach has been developed based on modified TOPSIS named Rank Based TOPSIS (RB-TOPSIS) for the multi-criteria decision making for Congress on Evolutionary Computation 2017 competition.
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    Use of modified equation to examine the stability of upstream differencing scheme for initial value problems
    (Science International,27(3), 2015) Muhammad Farhan Tabassum
    In this paper we investigate the quantitative behavior of a wide range of numerical methods for solving linear partial differential equations [PDE’s]. In order to study the properties of the numerical solutions, such as accuracy, consistency, and stability, we use the method of modified equation, which is an effective approach. To determine the necessary and sufficient conditions for computing the stability, we use a truncated version of modified equation which helps us in a better way to look into the nature of dispersive as well as dissipative errors. The Wave Equation arises in the construction of characteristic surfaces for hyperbolic partial differential equations, in the calculus of variations, in some geometrical problems and in simple modals for gas dynamics, whose solution involves the method of characteristics. Accuracy and stability of Upstream Scheme is checked by using Modified Differential Equations [MDE’s].