In this paper‎, ‎we introduce and study some new single-valued gap functions for non-differentiable semi-infinite multiobjective optimization problems with locally Lipschitz data‎. ‎Since one of the fundamental properties of gap function for optimization problems is its abilities in characterizing the solutions of the problem in question‎, ‎then the essential properties of the newly introduced ...

We consider here a multicommodity flow network optimization problem with nonconvex but piecewise convex arc cost functions. We derive complete optimality conditions for local minima based on negative-cost cycles associated with each commodity. These conditions do not extend to the convex non-smooth case.

this paper focuses upon the development of an efficient method for conceptual design optimization of a satellite. there are many option for a satellite subsystems that could be choice, as acceptable solution to implement of a space system mission. every option should be assessment based on the different criteria such as cost, mass, reliability and technology contraint (complexity). in this rese...

In the context of the derivative-free optimization of a smooth objective function, it has been shown that the worst case complexity of direct-search methods is of the same order as the one of steepest descent for derivative-based optimization, more precisely that the number of iterations needed to reduce the norm of the gradient of the objective function below a certain threshold is proportiona...

The quasi-interpolation operators of Clément and Scott-Zhang type are generalized to the hp-context. New polynomial lifting and inverse estimates are presented as well.

An efficient Particle Swarm Optimization (PSO) technique, employed to solve Economic Dispatch (ED) problems in power system is presented in this paper. With practical consideration, ED will have nonsmooth cost functions with equality and inequality constraints that makes the problem, a large-scale highly constrained nonlinear optimization problem.The proposed method expands the original PSO to ...

This paper proposes an evolving ant direction differential evolution (EADDE) algorithm for solving the optimal power flow problem with non-smooth and non-convex generator fuel cost characteristics. The EADDE employs ant colony search to find a suitable mutation operator for differential evolution (DE) whereas the ant colony parameters are evolved using genetic algorithm approach. The NewtoneRap...

This paper presents a new approach to economic dispatch (ED) problems with nonsmooth cost functions using a particle swarm optimization (PSO) technique. The practical ED problems have nonsmooth cost functions with equality and inequality constraints, which makes the problem of finding the global optimum difficult when using any mathematical approaches. In this paper, a modified PSO (MPSO) mecha...

this study deals with the 3d recovering of magnetic susceptibility model by incorporating the sparsity-based constraints in the inversion algorithm. for this purpose, the area under prospect was divided into a large number of rectangular prisms in a mesh with unknown susceptibilities. tikhonov cost functions with two sparsity functions were used to recover the smooth parts as well as the sharp ...