We establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. A corresponding novel neural network model, which is globally convergent and stable in the sense of Lyapunov, is proposed. Both theoretical and numerical approaches are considered. Numerical simulations for three constrained nonlinear optimization problems are giv...

Design engineers often employ numerical optimization techniques to assist in the evaluation and comparison of new aircraft conngurations. While the use of numerical optimization methods is largely successful, the presence of numerical noise in realistic engineering optimization problems often inhibits the use of many gradient-based optimization techniques. Numerical noise causes inaccurate grad...

abstract this paper presents a multiobjective power control algorithm that updates the transmitted power based on local information. the proposed algorithm is expanded by using multiobjective optimization schemes. the objectives to be optimized in this paper are determined so as to reduce the sinr fluctuations as well as maintaining the sinr to an acceptable level with minimizing an average tra...

In this paper a league championship algorithm (LCA) is developed for structural optimization where the optimization variables are of discrete type and the set of the values possibly obtained by each variable is also given. LCA is a relatively new metaheuristic algorithm inspired from sport championship process. In LCA, each individual can choose to approach to or retreat from other individuals ...

based on credibilistic value-at-risk (cvar) of regularfuzzy variable, we introduce a new cvar reduction method fortype-2 fuzzy variables. the reduced fuzzy variables arecharacterized by parametric possibility distributions. we establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. the convex properties of second order moments with ...

open-pit production scheduling (opps) problem focuses on determining a block sequencing and scheduling to maximize net present value (npv) of the venture under constraints. the scheduling model is critically sensitive to the economic value volatility of block, block weight, and operational capacity. in order to deal with the opps uncertainties, various approaches can be recommended. robust opti...

Arrays of loudspeakers are often used for sound reinforcement in large concert halls, auditoria, houses of worship and outdoor events. Arrays of microphones have long been used in applications such as sonar and tomography, and are becoming more important for things like teleconferencing. Global optimization techniques such as Stochastic Region Contraction can be combined with previously develop...

We consider the problem of decomposing a real-valued symmetric tensor as the sum of outer products of real-valued vectors. Algebraic methods exist for computing complex-valued decompositions of symmetric tensors, but here we focus on real-valued decompositions, both unconstrained and nonnegative. We discuss when solutions exist and how to formulate the mathematical program. Numerical results sh...

Firefly Algorithm is one of the meta-heuristic algorithms that are capable of performing optimization quite efficiently. It is a relatively new concept being inspired by the flashing behavior of fireflies. In this work, we have used it effectively in calculation of definite integrals, especially when the integrands have prismitives that cannot be expressed using elementary functions. Our applic...