Browsing by Author "Tabassum, Muhammad Farhan"

Now showing 1 - 4 of 4
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    Minimization of flagpole optimization problem through derivative free methods.
    (Science International, 2015) Tabassum, Muhammad Farhan
    The purpose of this research is to formulate optimization model flagpole with stress, deflection, and bending shear constraints. Three derivative free methods, namely Nelder-Meed method, Hooke-Jeeve Method and Multidirectional search Methods are used. In this model penalty functions are utilized to remove constraints. In thusly the constrained optimization model is changed into unconstrained model. MATLAB is being used to get results which show the efficiency and success of these methods.
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    Modeling and optimizing oxygen production system using differential evolution.
    (Science International, 2016) Tabassum, Muhammad Farhan; Akram, Sana; Saeed, Muhammad
    In this article a non-linear optimization model of Oxygen production system is formulated. The production rate, pressure in storage tank, compressor power and storage tank volume are considered as the constraints of the model. The constraints in the formulated Oxygen production system model are handled by using 2-parameter-exponential penalty function. A novel optimization method based on a recently introduced Evolutionary Algorithm called Differential Evolution is described. Oxygen production system model is selected to demonstrate the capabilities and practical use of the method. The novel method is found easy to implement effectively, efficient and robust. The results obtained by this technique make it an attractive applicable approach for solving design problems in various engineering disciplines. The results are compared with previous studies also.
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    Modified Adomian Decomposition Method and Homotopy Perturbation Method for Higher-Order Singular Boundary Value Problems
    (Science International, 2015) Tabassum, Muhammad Farhan
    In this paper, we presented effective numerical methods for the approximate solution of nonlinear higher order Boundary Value Problems (BVPs). We proposed a reliable modification of the Adomian Decomposition Method (MADM) that will accelerate the rapid convergence of the series solution. He,s polynomials are also used to overcome the difficult calculation. We also proposed the Homotopy Perturbation Method (HPM) which is highly accurate in witch only a few terms are required to obtain accurate computable solution. The validity of the methods is verified through illustrative examples. The results obtained demonstrate the accuracy and efficiency of the proposed methods.
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    New Mathematical Models of N-Queens Problem and its solution by a Derivative-Free Method of Optimization
    (Science International, 2015) Ali, Javaid; Muhammad Saeed; Tabassum, Muhammad Farhan
    Most of the optimization methods do not inherit convergence proofs. One of the measures to rank them is their potential to solve challenging problems specially formulated for this purpose. In this paper the problem involves two main issues. Firstly we present new formulations of the N queens’ configuration problem as optimization problems and secondly we modify a derivative free method so that it may be able to find the optimal configuration of the chessboard.