Minimal Failure Probability for Ceramic Design Via Shape Control

Evaluation of failure probability via surrogate models

Evaluation of failure probability of a given system requires sampling of the system response and can be computationally expensive. Therefore it is desirable to construct an accurate surrogate model for the system response and subsequently to sample the surrogate model. In this paper we discuss the properties of this approach. We demonstrate that the straightforward sampling of a surrogate model...

Proving regularity of the minimal probability of ruin via a game of stopping and control

We will reveal an interesting convex duality relationship between (a) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (b) a controller-and-stopper problem: the controller controls the drift and volatility of a process in order to maximize a running reward based on that process, the sto...

Optimal Shape Design for a Cooling Pin Fin Connection Profil

A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined as maximizing the norm of the Nusselt number distribution at the boundary of the pin fin's con...

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

Graphic Design for Ceramic Tiles

The development of a computer based design system for ceramic tiles forms part of a BriteEuram project aimed at providing automated quality control for ceramic tile production. The design system is expected to provide a priori information about each tile design to the quality control inspection stations. The differences between graphic design for paper and graphic design for ceramic are discuss...