At Applied Optimization (AO), we seek to be of service to our clients and partners. Our guiding strategy has been, “If you seek profit, you may succeed. If you seek to be of service, you will profit.”
The Science of Optimization
The definition of optimization is the procedure used to make a system or design as mathematically effective or functional as possible. The science of applied optimization, along with simulation, form an area of engineering that sits between mathematics and computer science. It uses computational tools to solve important problems in engineering, manufacturing, and all branches of science.
Current concerns include the development and analysis of algorithms for solutions in implementations of:
- problems of estimation
- simulation and control of complex systems
- implementations on computers
Applied Optimization, Inc. is particularly interested in highly nonlinear thermo-mechanical material optimization problems which involve computationally intensive function evaluations. Such problems arise in simulations with finite elements, in making statistical estimates, or in dealing with functions that are interdisciplinary in nature.
The sustainability techniques for numerical approximation through optimization algorithms is very important. What makes a formulation or the solution of a problem any more desirable than another? This analysis requires the study and understanding of the delicate balance between the choices of mathematical approximation, computer architecture, data structures, and other factors—a balance crucial to the solution of many application-driven problems. The result is an extraction of trends buried in the volumes of data generated by the computer model.