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We have to mention that the proposed approximations (16) and (17) are conservative approximations meaning that the approximated BERs are the upper bounds of the true BERs, and consequently the QoS requirements are always satisfied.
The conservative approximations are prompted by various factors: firstly, the dependency of deterministic models on chosen characteristic models that are formulated to mimic rock behaviour.
Analytical discrete sensitivity calculus is presented and the formulation of convex conservative approximations, utilised to solve the structural shape and sizing optimisation problems, are discussed in great detail.
A large number of multiscale finite-volume methods have been developed over the past decade to compute conservative approximations to multiphase flow problems in heterogeneous porous media.
The results show that new method agrees well with LOPA and reduces costs imposed by conservative approximations assumed during application of conventional risk graph.
This disconnect is shown to be partly due to the use of simple deterministic residual stress patterns and geometric imperfections in test simulations that are conservative approximations of the true values occurring in physical tests.
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which is a safe conservative approximation of Eq. (14).
However, it can be proven that eq. 8 provides a conservative approximation of CA[22].
In this paper we present techniques to solve robust optimal control problems for nonlinear dynamic systems in a conservative approximation.
The simpler and more conservative approximation is proposed for use in design and its application is demonstrated in an example.
By the inclusion of this term in the analysis, the following less conservative approximation for the tail probability of the queue is satisfied: (12).
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