Brain storm optimization algorithm (BSO) is a popular swarm intelligence algorithm. A significant part of BSO to divide the population into different clusters with clustering strategy, and blind disturbance operator used generate offspring. However, this mechanism easy lead premature convergence due lacking effective direction information. In paper, an enhanced based on modified Nelder–Mead eli...

The Nelder–Mead simplex method is a widespread applied numerical optimization method with a vast number of practical applications, but very few mathematically proven convergence properties. The original formulation of the algorithm is stated in R using terms of Euclidean geometry. In this paper we introduce the idea of a hyperbolic variant of this algorithm using the Poincaré disk model of the ...

The cancellous bone effective properties relations are analysed on multiscale across two aspects; properties of representative volume element on micro scale and statistical measure of trabecular trajectory orientation on mesoscale. Anisotropy of the microstructure is described across fabric tensor measure with trajectory orientation tensor as bridging scale connection. The scatter measured data...

Column generation is a basic tool for the solution of largescale mathematical programming problems. We present a class of column generation algorithms in which the columns are generated by derivative free algorithms, like population-based algorithms. This class can be viewed as a framework to define hybridization of free derivative algorithms. This framework has been illustrated in this article...

Recently, mobile location estimate problem is a significant issue in many industrial fields such as radar, wireless communication, target tracking, and various types of location based services. Time difference of arrival (TDOA) and angle of arrival (AOA) are typical geolocation techniques for estimation of mobile location. In this paper, we suggest a hybrid TDOA/AOA geolocation equation as a si...

This paper describes reconstruction of the heat transfer coefficient occurring in the boundary condition of the third kind for the time fractional heat conduction equation. Fractional derivative with respect to time, occurring in considered equation, is defined as the Caputo derivative. Additional information for the considered inverse problem is given by the temperature measurements at selecte...

Nelder-Mead (when you don’t know ∇f ) and steepest descent/conjugate gradient (when you do). Both of these methods are based on attempting to generate a sequence of positions xk with monotonically decreasing f(xk) in the hopes that the xk → x∗, the global minimum for f . If f is a convex function (this happens surprisingly often), and has only one local minimum, these methods are exactly the ri...

This study examined the effects of sprint running training on sloping surfaces (3°) in experienced sprinters using selected kinematic variables. Twelve experienced sprinters were randomly allocated to two training groups (combined uphill–downhill and horizontal). Preand post-training tests were performed to examine the effects of six weeks of training on maximum running speed, step rate, step l...

Local minima of a fitness landscape are separated by barriers. A barrier tree (Flamm et al., 2002) is a representation of a fitness landscape as a binary tree, where each leaf represents a local minimum; the barriers connecting the local minima are represented as the internal horizontal nodes of the barrier tree. To reflect the fitness values of barriers and minima, each node in the barrier tre...