[PDF] Top 20 Newton based homotopy optimization method for solving global optimization problem

... first optimization method is solved using computer was introduced by Gauss which is the Gaussian elimination ...years, optimization has received enormous attention and it is an active area in the ... See full document

... a homotopy continuous method (HCM) for solving a weak efficient solution of multiobjective optimization problem (MOP) with feasible set unbounded condition, which is arising in ... See full document

... significant method in local search ...GA. Based on this fact that the regular GA lacks the global search ability; the improvement is regarding to overcome this ...the global search ability. In ... See full document

... An extensive set of experiments have been conducted, in order to show IFA-LSM algorithm's effectiveness for the purpose of global optimization. fifteen common test functions were used in the experiments and ... See full document

... A new hybrid population-based algorithm PSOGSA combining GWO is proposed in this paper (GWO-PSOGSA). This paper achieves improved results using GWO and PSOGSA by synthesizing both algorithms’ strength. Few ... See full document

... In this paper, we propose a new algorithm to solve unconstrained optimization problems. The organization of the paper is as follows: In section 2, we introduce a new regularized method to solve minimization ... See full document

... a global solution in an optimization involves two stages, which are local search stage and global search ...Newton's method, Quasi-Newton method, and Conjugate Gradient ...many ... See full document

... the problem (6)-(7), both analytical and numerical algorithms may be ...the problem (6)-(7) could be solved with traditional methods such as the Lagrange multipliers ...Evolution method was chosen, ... See full document

... Optimal power flow considered to be the backbone tool in the complex power system. The expanding in demands lead to increasing in generation that requires increases the thermal capacity, for these reasons the ... See full document

... Swarm Optimization (PSO) is known for its ability to allow each particle to preserve a memory of the best solution and the best solution found by the in the particle’s ...This method also displays inherent ... See full document

... Hessian approximations computed by oLBFGS are upper and lower bounded, respectively (Lemma 3). These bounds are then used to limit the range of variation of the ratio between the Hessian approximations’ largest and ... See full document

... this problem, one for the number of machines and the other for the number of jobs which each machine has to ...This problem remains one of the most discussed problems, with researchers from all over the ... See full document

... This section is devoted to test the implement of the new method. We compare the new update of DFP (New5) and standard . The comparative tests involve well known nonlinear problems (classical test function) with ... See full document

... There are several ways to identify the auxiliary homotopy function g ( x ) such as Newton function, fixed-point function and affine function. In this paper, we choose fixed-point function as our auxiliary ... See full document

... various optimization problems of the industrial environment such as job shop scheduling, flow shop scheduling, FMS scheduling, design of cellular manufacturing systems, project scheduling; design of facility ... See full document

... each method are listed in Table ...our method can achieve better motif predictions with the exception of the E2F and TBP ...our method indicates that they are further improved in the cases of the ... See full document

... is based on function evalua- tions which are implemented by repeatedly solving the state Equations ...of optimization problem (18): ... See full document

... positioning. Some of high precision navigation algorithms, like carrier phase ambiguity resolution, (see [13]) are very sensitive to the dimension of the problem. They include matrix inversion, various matrix ... See full document

... new method based on the support vector machine (SVM) combined with particle swarm optimization (PSO) is proposed to analyze signals of wound infection detection based on electronic nose ... See full document

... direct problem, and the cell shape ...the problem as an optimization one are ...inversion method and the basis for future practical application as diagnosis ... See full document