In many evolutionary algorithms, as fitness functions, penalty functions play an important role. In order to solve zero-one nonlinear optimization problems, a new objective penalty function is defined in this paper and some of its properties for solving integer nonlinear optimization problems are given. Based on the objective penalty function, an algorithm with global convergence for integer no...

Given a single function f that depends on one or more independent variable, we want to find the values of those variables where f is maximized or minimized. Often the computational cost is dominated by the the cost of evaluating f (and also perhaps its partial derivatives with respect to all variables). Finding a global extremum is, in general, a very difficult problem. Two standard heuristics ...

The nonlinear minimization problem is to find a (local) minimizer for an objective function f (·), which takes in a vector x ∈ R n as input and a scalar f (x) as output. A broad and important class of algorithms take an iterative form x k+1 = x k + α k h where if f x k = 0, we choose direction h k so that f x k h k < 0 and the step size α k so that f x k + α k h k < f x k. At current ponit x, c...

This paper suggests an optimization-based methodology for the design of minimum weight structures with kinematic nonlinear behavior. Attention is focused on three-dimensional reticulated structures idealized with beam elements under proportional static loadings. The algorithm used for optimization is based on a classical optimality criterion approach using an active-set strategy for extreme lim...

due to the fact that the error surface of adaptive infinite impulse response (iir) systems is generally nonlinear and multimodal, the conventional derivative based techniques fail when used in adaptive identification of such systems. in this case, global optimization techniques are required in order to avoid the local minima. harmony search (hs), a musical inspired metaheuristic, is a recently ...

The failure probability of the structures is one of the challenging problems in structural engineering. To obtain the reliability index introduced by Hasofer and Lind, one needs to solve a nonlinear equality constrained optimization problem. In this study, four of the most recent metaheuristic algorithms are utilized for finding the design point and the failure probability of problems with cont...

abstract: implementing a combined cooling, heating and power system(cchp) to cool, heat and produce electricity is growing rapidly due to its efficiency and low emissions. in this paper, using economic analysis, the size and operation detail of the required gas engine and the specific electricity, cooling and heating load curves for a one year operating period has been determined. the proposed ...

abstract it is the purpose of this article to introduce a linear approximation technique for solving a fractional chance constrained programming (cc) problem. for this purpose, a fuzzy goal programming model of the equivalent deterministic form of the fractional chance constrained programming is provided and then the process of defuzzification and linearization of the problem is started. a samp...

the graphical technique for nonlinear circuits was described that enable us to optimize circuits to obtain maximum output power, maximum efficiency or minimum intermodulation. according to this method a high power amplifier in the ka band was designed. using a nonlinear model of the transistor, optimum slope for load-line was determined so that maximum power at the output was obtainable, then ...