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Methods of penalty functions are widely used in nonlinear programming. The idea of penalty function methods consists in reducing the problem of conditional optimization to a problem of the unconstrained optimization. Among the different approaches existing for such reduction we shall consider the method of exact penalty nondifferentiable functions. The implementation of exact penalty function methods...
Multiobjective evolutionary algorithm based on decomposition (MOEA/D) decomposes a multiobjective optimization problem into a set of scalar optimization subproblems and optimizes them in a collaborative manner. Subproblems and solutions are two sets of agents that naturally exist in MOEA/D. The selection of promising solutions for subproblems can be regarded as a matching between subproblems and solutions...
In this paper we discuss the convergence of the Broyden algorithms without convexity and exact line search assumptions. We proved that if the objective function is suitably smooth and the algorithm produces a convergence point sequence, then the limit point of the sequence is a critical point of the objective function.
This paper presents a load flow solution for radial and weakly meshed distribution system. The problem is formulated as an optimization problem based on minimization of L1 norm of a vector consisting of power mismatch at every node in a distribution system. The optimization problem is solved using interior point (IP) method. The advantage of interior point method is that it converges in polynomial...
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