Engineering Design under Imprecise Probabilities: Computational Complexity
نویسندگان
چکیده
منابع مشابه
Engineering Design under Imprecise Probabilities: Computational Complexity
In engineering design problems, we want to make sure that a certain quantity c of the designed system lies within given bounds – or at least that the probability of this quantity to be outside these bounds does not exceed a given threshold. We may have several such requirements – thus the requirement can be formulated as bounds [F c(x), F c(x)] on the cumulative distribution function Fc(x) of t...
متن کاملImprecise Probabilities in Engineering Analyses
Probabilistic uncertainty and imprecision in structural parameters and in environmental conditions and loads are challenging phenomena in engineering analyses. They require appropriate mathematical modeling and quanti cation to obtain realistic results when predicting the behavior and reliability of engineering structures and systems. But the modeling and quanti cation is complicated by the cha...
متن کاملThe Value of Using Imprecise Probabilities in Engineering Design
Engineering design decisions inherently are made under risk and uncertainty. The characterization of this uncertainty is an essential step in the decision process. In this paper, we consider imprecise probabilities (e.g. intervals of probabilities) to express explicitly the precision with which something is known. Imprecision can arise from fundamental indeterminacy in the available evidence or...
متن کاملRationalizability under Uncertainty using Imprecise Probabilities ̊
The notion of imprecise probability can be viewed as a generalization of the traditional notion of probability. Several theories and models of imprecise probability have been suggested in the literature as more appropriate representations of uncertainty in the context of single-agent decision making. In this paper I investigate the question of how such models can be incorporated into the tradit...
متن کاملDecision making under uncertainty using imprecise probabilities
Various ways for decision making with imprecise probabilities—admissibility, maximal expected utility, maximality, E-admissibility, Γ-maximax, Γ-maximin, all of which are well-known from the literature—are discussed and compared. We generalize a well-known sufficient condition for existence of optimal decisions. A simple numerical example shows how these criteria can work in practice, and demon...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cubo (Temuco)
سال: 2011
ISSN: 0719-0646
DOI: 10.4067/s0719-06462011000100007