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In this paper we discuss the issue of solving stochastic optimization problems by means of sample average approximations. Our focus is on rates of convergence of estimators of optimal solutions and optimal values with respect to the sample size. This is a well studied problem in case the samples are independent and identically distributed (i.e., when standard Monte Carlo is used); here, we stud...

With the sharp increase in fluctuant sources power systems, deterministic flow (DPF) calculation has been unable to meet demands of practical applications; thus, probabilistic method becomes indispensable for reliable and stable operation systems. This paper adopts (PPF) method, which is a Monte Carlo simulation (MCS) based on Latin hypercube sampling (LHS) analyze uncertainties Specifically, a...

In order to explore the hydrogen source term characteristics under severe accidents of marine pressurized water reactors (PWR) and effectively assess risk, best estimation program SCDAP/RELAP5/MOD3.2 is used establish reactor accident analysis model. Based on Latin Hypercube sampling (LHS) method Wilks theory, a set methods for uncertainty developed. This can be applied sensitivity different ta...

In this research, we developed a coinfection model of tuberculosis and COVID-19 with the effect isolation treatment. We obtained two equilibria, namely, disease-free equilibrium endemic equilibrium. Disease-free is state in which no infection occurs. Endemic there occurs not only but also COVID-19. assumed that parameters follow uniform distribution, then, took 1,000 samples each parameter usin...

The latin hypercube sampling method, which represents the most efficient way to determine the statistics of the creep and shrinkage response of structures, has previously been developed and used under the assumption that the random parameters of the creep and shrinkage prediction model are mutually independent. In reality they are correlated. On the basis of existing data, this paper establishe...

The soil acidification model SMART2 requires 25 input variables for each point support location it is run. For the regional modelling of soil acidification, the model is run at a dense grid of point locations, and point support model output (aluminium concentration below the root zone) is spatially aggregated to values for 10 km × 10 km blocks. Monte Carlo analysis was used to assess the uncert...

A U-shaped oscillating water column (U-OWC) device has been investigated to enhance power extraction by placing the bottom-mounted vertical barrier in front of a conventional OWC. Then, optimal design U-OWC attempted using an artificial neural network (ANN) model. First, analytical model is developed matched eigenfunction expansion method (MEEM) based on linear potential theory. Using model, in...

As an important Energy Internet technology, energy router (ER) can implement routing and information interconnection for the electrical grid within a certain geography range. However, multi-energy supply allocation between routers (MERs) has to be resolved, which connect isolated area networks expand scale of Internet. In this paper, equipment capacity network are planned multi-area system (MAM...