Generation of uncertainty envelopes for thin acoustic screens with uncertain parameters

Uncertainty envelopes

We introduce a new class of problems: computing the set of all the convex combinations of sites when their position is uncertain and depends linearly on shared parameters which vary according to a uniform distribution. The boundary of the set, called the uncertainty envelope, is useful in optimizing processes where there is uncertainty on the site positions and the objective functions. We provi...

Challenge problems: uncertainty in system response given uncertain parameters

Modeling and simulation efforts continue to expand in areas where they have been used for some time, and they are also beginning to be used in new application areas. Modeling and simulation have been heavily used in risk assessment for high-consequence systems, such as nuclear power reactors, underground storage of radioactive wastes, and the nuclear weapon stockpile. For complex engineered or ...

Computing uncertainty with uncertain numbers

A computational method for processing measurement data is discussed that applies the law of propagation of uncertainty, which is described in the Guide to the Expression of Uncertainty in Measurement. The method introduces the notion of an ‘uncertain number’, which is an entity that encapsulates information about the value and uncertainty of a quantity. Basic mathematical operations can be defi...

Generation of bivariate Nakagami-m fading envelopes with arbitrary not necessary identical fading parameters

Biochemical networks with uncertain parameters.

The modelling of biochemical networks becomes delicate if kinetic parameters are varying, uncertain or unknown. Facing this situation, we quantify uncertain knowledge or beliefs about parameters by probability distributions. We show how parameter distributions can be used to infer probabilistic statements about dynamic network properties, such as steady-state fluxes and concentrations, signal c...