Many business process and engineering design scenarios are driven by an underlying inverse problem. Rather than iteratively exercise a computationally expensive system model to find a suitable design (i.e., match a target performance vector), one might instead design an experiment and conduct off-line system model simulations to fit an inverse approximation, then use the approximation to...
Bayesian Optimization has emerged as a useful addition to the DOE toolbox, well-suited for industrial R&D where resource constraints incentivize spending a minimal number of experiments on complex optimization problems.
While Bayesian Optimization is quite simple to use in principle, the experimenter still has to make choices regarding their strategy and algorithm setup. The question is,...
Model-based approaches are commonly used in the analysis, control and optimization of biosystems. These models rely on knowledge of physical, chemical and biological laws, such as conservation laws, transport phenomena and reaction kinetics, which are usually described by a system of non-linear differential equations.
Often our knowledge of the laws acting on the system is incomplete....
Design of experiments (DoE) is a cornerstone methodology for optimizing industrial processes, yet its application to multistage processes remains underdeveloped, particularly in cost-constrained contexts. We present a methodology for cost-efficient experimental design tailored to such contexts, illustrated through a case study in potato fry production.
Potato fry production involves a...
ESBELT, a manufacturer of conveyor belts, was preparing to replace a critical machine in its production line and aimed to ensure a robust technology transfer. The machine fused multiple textile layers using a specific combination of temperature, air flow, tension and speed. Product quality was primarily evaluated by layer adherence, a critical-to-quality characteristic assessed destructively...
Well microplates are used in several application areas, such as biotechnology, disease research, drug discovery and environmental biotechnology. Within these fields, optimizing bioassays such as CART-T, ELISA and CRISPR-Cas9 is commonplace. Microplates have a fixed size, and the most used ones have 24, 48, 64, 96, 384 or 1,536 wells, with each well representing an individual experiment. When...
An approach to the construction of Balanced Incomplete Block Designs (BIBD) is described. The exact pairwise balance of treatments within blocks (second-order balancing condition) is required by standard BIBD. This requirement is attainable when $\lambda = b \binom{k}{2} / \binom{t}{2}$ is an integer, where $t$ is the number of treatments, $b$ is the number of blocks and $k$ is the block...
As a reference frame, balanced factorial designs are used in this presentation, because these designs are orthogonal for all linear models, they can be used for. Orthogonality means that the experimental factors are mutually orthogonal (angles of 90◦) and as such are independent and not correlated. As a consequence, the parameters of the fitted linear models are also independent, leading to...
Fraction of Design Space(FDS) plot is a graphical display that uses the scaled prediction variance(SPV) measure to assess and compare the prediction capabilities of response surface designs. Its application has been vastly used in single-response surface designs as a more informative display of the distribution of SPV in an experimental region. However, many experiments in industries require...