Dynamic optimization and optimal control problems form the backbone of numerous applications in engineering, economics and the natural sciences. These methodologies involve determining a time-varying ...

Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

Scientists have developed a problem-solving architecture modeled on neurobiology that leverages quantum mechanical behavior to guarantee optimal solutions to complex problems. It's easy to solve a 3x3 ...

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits. Our lives are a succession of optimization problems.