This paper presents a method for uncertainty analysis of prognostics with a focus on electronics subject to random vibration. First we identify uncertainty sources and types: measurement uncertainty, parameter uncertainty, failure criteria uncertainty, and future usage uncertainty. Next, we present an approach to determine the uncertainty in a prognostic analysis. Our approach utilizes a sensit...

In practically all real-world planning and scheduling problems one is faced with uncertainty. Usually this uncertainty is abstracted away during the modeling process, such that standard combinatorial optimization algorithms can be used to solve the problem. This abstraction step is necessary, because these algorithms generally cannot deal with uncertainty. In this thesis we study the Vehicle Ro...

This paper discusses two topics on fuzzy random variables in decision making. One is a new evaluation method of fuzzy random variables, and the other is to present a mathematical model in financial engineering by fuzzy random variables. The evaluation method is introduced as mean values defined by fuzzy measures, and it is also applicable to fuzzy numbers and fuzzy stochastic process defined by...

We propose an approach to linear optimization with recourse that does not involve a probabilistic description of the uncertainty, and allows the decision-maker to adjust the degree of robustness of the model while preserving its linear properties. We model random variables as uncertain parameters belonging to a polyhedral uncertainty set and minimize the sum of the first-stage costs and the wor...

hoarding is characterized by the persistent difficulty discarding or parting with possessions, regardless of the value others may attribute to these possessions. hoarding resembles obsessive compulsive disorder (ocd) in several ways. the avoidance of and difficulties with discarding seem to be driven by fears of losing something significant or being responsible for a bad outcome. these could be...

Uncertainty analysis of greenhouse gas (GHG) emissions is becoming increasingly necessary in order to obtain a more accurate estimation of their quantities. The Monte Carlo simulation (MCS) and non-parametric block bootstrap (BB) methods were tested to estimate the uncertainty of GHG emissions from the consumption of feedstuffs and energy by dairy cows. In addition, the contribution to variance...

reliability analysis of rock slope stability has received considerable attention in the literature. it has been used as an effective tool to evaluate uncertainty so prevalent in variables. in this research the application of the jointly distributed random variables method for probabilistic analysis and reliability assessment of rock slope stability with plane sliding is investigated. in a recen...

in a celebrated work by shao [13] several inequalities for negatively associated random variables were proved. in this paper we obtain some maximal inequalities for associated random variables. also we establish a maximal inequality for demimartingales which generalizes and improves the result of christofides [4].