This work introduces the use of the treed Gaussian process (TGP) as a surrogate model within the mesh adaptive direct search (MADS) framework for constrained blackbox optimization. It extends the surrogate management framework (SMF) to nonsmooth optimization under general constraints. MADS uses TGP in two ways: one, as a surrogate for blackbox evaluations; and two, to evaluate statistical crite...

In this paper we propose a surrogate model for advection-diffusionreaction problems characterized by a dominant direction in their dynamics. We resort to a hierarchical-model reduction where we couple a modal representation of the transverse dynamics with a finite element approximation along the mainstream. This different treatment of the dynamics entails a surrogate model enhancing a purely 1D...

This paper focuses upon the efficient surrogate model algorithm for expensive simulation-based design optimization problems. Co-kriging method is used to develop a multi-fidelity surrogate model using two independent datasets. To achieve this objective, wing-body problem is taken as an example of application for highdimensional complex design problem. In addition, a simple sampling analysis is ...

We review a relatively new statistical test that may be applied to determine whether an observed time series is inconsistent with a specific class of dynamical systems. These surrogate data methods may test an observed time series against the hypotheses of: i) independent and identically distributed noise; ii) linearly filtered noise; and iii) a monotonic nonlinear transformation of linearly fi...

In this paper we extend a stochastic discrete optimization approach so as to tackle the lot-sizing problem in manufacturing systems. In practice, with the surrogate methodology, the lot sizes are continuously adjusted on-line by the gradient-based approach. The lot sizing determines the number of parts batched together for production. We utilize the queueing approach that evidences the existenc...

Dibutyl phthalate (DBP) is a phthalic acid ester and is widely used in polymeric products to make them more flexible. DBP is found in almost every plastic material and is believed to be persistent in the environment. Various analytical methods have been used to measure DBP in different matrices. Considering the ubiquitous nature of DBP, the most important challenge in DBP analyses is the contam...

Various studies show that advanced cognitive function is integrated by multiple interacted cortical regions. To investigate this mechanism, various measures, such as phase synchronization (PS) and partial directed coherence, has been applied to evaluate the pattern of neural connectivity among brain regions. However, some problems on quantifying neural connectivity are still open to be answered...