Discover how Pareto efficiency optimizes resource allocation and explore its measurement along the production possibility frontier.

Natural resources—such as fossil fuels, water, and minerals—are materials found in the environment that are essential for life and highly utilized in production. Though these resources are viewed as ...

Abstract: The max-min fair (MMF) resource allocation problem in rate-splitting multiple access (RSMA) systems usually faces the issues of high computational complexity and implement difficulty in real ...

Greenland, the largest island on Earth, possesses some of the richest stores of natural resources anywhere in the world. These include critical raw materials – resources such as lithium and rare earth ...

Abstract: Game-theoretic resource allocation on graphs (GRAG) involves two players competing over multiple steps to control nodes of interest on a graph, a problem modeled as a multi-step Colonel ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

Effective task allocation has become a critical challenge for multi-robot systems operating in dynamic environments like search and rescue. Traditional methods, often based on static data and ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

State and local governments are increasingly being asked to do more with less. Aging infrastructure, shifting populations and the accelerating effects of climate change are forcing leaders to stretch ...