Combinatorial optimization problems are often encountered in real-world applications, including logistics, scheduling and ...

Every morning, millions of Americans engage in a quiet, collective ritual. We wake up, often pull a smartphone from our ...

In 2022, global production of construction materials accounted for more than 7% of total carbon emissions. But how many of ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Moving heavy materials through cutting, polishing and coating stages requires precise balancing of load capacity and motion speed. Here’s how the right linear guidance selection and configuration can ...

Abstract: In this article, we investigate the distributed optimization problem of heterogeneous general linear multiagent systems by the adaptive dynamic programming (ADP) approach over directed ...

We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...

Picture this: I’m hunched over a garage floor, scrubbing away at the gunky paint remover I’ve spread over a fire-engine-red paint to make way for the aesthetically-pleasing home gym that’s going to ...

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer ...

A line of engineering research seeks to develop computers that can tackle a class of challenges called combinatorial optimization problems. These are common in real-world applications such as ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...