ABSTRACT. The notion of symmetrization, also known as Davenport’s reflection principle, is well known in the area of the discrepancy theory and quasiMonte Carlo (QMC) integration. In this paper we consider applying a symmetrization technique to a certain class of QMC point sets called digital nets over Zb. Although symmetrization has been recognized as a geometric technique in the multi-dimensi...

in this work, based on experimental observations and exact theoretical predictions, the kinetic scheme of raft polymerization is extended to a wider range of reactions such as irreversible intermediate radical terminations and reversible transfer reactions. the reactions which have been labeled as kinetic scheme are the more probable existing reactions as the theoretical point of view. the deta...

Analytical and Monte Carlo simulations have been used to predict dose enhancement factors in nanoparticle-enhanced X-ray radiation therapy. Both simulations predict an increase in dose enhancement in the presence of nanoparticles, but the two methods predict different levels of enhancement over the studied energy, nanoparticle materials, and concentration regime for several reasons. The Monte C...

background: to enhance the dose to tumor, the use of high atomic number elements has been proposed. objective: the aim of this study is to investigate the effect of gold nanoparticle distribution on dose enhancement in tumor when the tumor is irradiated by typical monoenergetic x-ray beams by considering homogeneous and inhomogeneous distributions of gold nanoparticles (gnps) in the tumor. meth...

in recent research on modelling road collisions very little attention has been paid  to rear-end chain reaction collisions, which is characterized by more than two vehicles involved in a collision at the same time. the core aim of the present research is to develop a methodology to estimate such potential collision probabilities based on a proactive perspective, where deceleration rate to avoid...

in this paper, we consider a stochastic time-cost tradeoff problem (tctp) in pert networks for project management, in which all activities are subjected to a linear cost function and assumed to be exponentially distributed. the aim of this problem is to maximize the project completion probability with a pre-known deadline to a predefined probability such that the required additional cost is min...

this paper presents an analytical view of variance reduction by control variate technique for pricing arithmetic asian options as a financial derivatives. in this paper, the effect of correlation between two random variables is shown. we propose an efficient method for choose suitable control in pricing arithmetic asian options based on the control variates (cv). the numerical experiment shows ...

as renewable energy increasingly penetrates into power grid systems, new challenges arise for system operators to keep the systems reliable under uncertain circumstances, while ensuring high utilization of renewable energy. this paper presents unit commitment (uc) which takes into account the volatility of wind power generation. the uc problem is solved with the forecasted intermittent wind pow...

ABSTRACT Background: accurate methods of radiation therapy dose calculation. There are different Monte Carlo codesfor simulation of photons, electrons and the coupled transport of electrons and photons. MCNPis a general purpose Monte Carlo code that can be used for electron, photon and coupledphoton-electron transport.Monte Carlo simulation of radiation transport is considered to be one of the ...

The use of Monte Carlo simulations in diagnostic medical imaging research is widespread due to its flexibility and ability to estimate quantities that are challenging to measure empirically. However, any new Monte Carlo simulation code needs to be validated before it can be used reliably. The type and degree of validation required depends on the goals of the research project, but, typically, su...