Monte Carlo is one of the most versatile and widely used numerical methods. Its convergence rate, O(N~^), is independent of dimension, which shows Monte Carlo to be very robust but also slow. This article presents an introduction to Monte Carlo methods for integration problems, including convergence theory, sampling methods and variance reduction techniques. Accelerated convergence for Monte Ca...

Abstract Metal-based polymer composites, a new category of advanced materials, are advantageous for effective protection radiation field. Recent report fabrication tungsten (W)-Poly methyl methacrylate (PMMA) composite microcellular foams with enhanced mechanical strength properties opens up the possibility its use in attenuation. Objective this theoretical study is to assess efficacy W-based c...

This paper surveys recent research on using Monte Carlo techniques to improve quasi-Monte Carlo techniques. Randomized quasi-Monte Carlo methods provide a basis for error estimation. They have, in the special case of scrambled nets, also been observed to improve accuracy. Finally through Latin supercube sampling it is possible to use Monte Carlo methods to extend quasi-Monte Carlo methods to hi...

monte carlo simulation is a standard technique for project risk analysis. however, some assumptions of this technique are not reasonable in real world. when a project falls behind the schedule, managers take actions to improve the performance. nevertheless, most of the simulation models as monte carlo omit these reactions in their analysis, which results in unreasonable wide distributions or ev...