The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new strategies for the optimal design of sequential experiments. First, we rigorously formulate the general sequential optimal experimental design (sOED) problem as a dy...

The problem of packing k edge-disjoint triangles in a graph has been thoroughly studied both in the classical complexity and the approximation fields and it has a wide range of applications in many areas, especially computational biology [BP96]. In this paper we present an analysis of the problem from a parameterized complexity viewpoint. We describe a fixed-parameter tractable algorithm for th...

Multi-objective optimisation is a proven, well-known parameter tuning technique in control design. It is especially suited to solve complex, multi-disciplinary design problems. This paper describes a software environment, called MOPS (Multi-Objective Parameter Synthesis), which supports the control engineer in setting up his design problem as a properly formulated multi-objective optimisation t...

Finding good controller settings that satisfy complex design criteria is not trivial, even for the simple three parameter proportional-integral-derivative (pid) controller. One strategy is to formulate the design problem into an optimization problem. However, when using gradient based optimization with finite differences to estimate the gradients, the algorithm often fails to converge to the op...

safety and failure in gas pipelines are very important in gas and petroleum industry. for this reason, it is important to study the effect of different parameters in order to reach the maximum safety in design and application. in this paper, a three dimensional finite element analysis is carried out to study the effect of crack length, crack depth, crack position, internal pressure and pipe thi...

Optimal experiment design for parameter estimation is a research topic that has been in the interest of various studies. A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to be identified. Adaptive design is one of the fundamental routes to handle this problem. Although there exist a rich collection of results on adaptive experime...

Recent developments in process design have focused on establishing optimization-based approaches to support decision-making under uncertainty, but few efforts have been made to study and consider how information regarding this uncertainty affects optimal decisions. In this paper we develop an optimal design framework that, besides integrating process profitability, robustness and quality issues...

We consider shape optimization of Stokes flow in channels where the objective is to design the lateral walls of the channel in such a way that a desired velocity profile is achieved. This amounts to the solution of a PDE constrained optimization problem with the state equation given by the Stokes system and the design variables being the control points of a Bézier curve representation of the la...