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...

A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. In this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. The analytical solution is represented in the form of series in the reproducing kernel space. Some numerical ...

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...

the paper presents an economical model for double variable acceptance sampling with inspection errors. taguchi cost function is used as acceptance cost while quality specification functions are normal with known variance. an optimization model is developed for double variables acceptance sampling scheme at the presence of inspection errors with either constant or monotone value functions. the m...

Natural examples of spaces satisfying (i) or (ii) are c0 and the original Tsirelson space, and Bates asked whether indeed c0 / ∈ B. The question was settled in [9] (i.e. c0 / ∈ B), a paper which was conducted without any knowledge of S. Bates’ work, and which was mainly concerned with the behavior of C-smooth real functions on c0. In order to reveal the connection between these matters, let us ...

Katz and Vaikuntanathan recently improved smooth projective hash functions in order to build oneround password-authenticated key exchange protocols (PAKE). To achieve security in the UC framework they allowed the simulator to extract the hashing key, which required simulation-sound non-interactive zero-knowledge proofs that are unfortunately ine cient. We improve the way the latter extractabili...

In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...

It is well known that the optimal convergence rate for stochastic optimization of smooth functions is O(1/ √ T ), which is same as stochastic optimization of Lipschitz continuous convex functions. This is in contrast to optimizing smooth functions using full gradients, which yields a convergence rate of O(1/T ). In this work, we consider a new setup for optimizing smooth functions, termed asMix...