Abstract: To address the limitations of the traditional Dijkstra algorithm in two-dimensional path optimization problems, this article uses ant colony algorithm to optimize the Dijkstra algorithm, ...

2025, Book: "Our Dollar, Your Problem argues that America’s currency might not have reached today’s lofty pinnacle without a certain amount of good luck. Drawing in part on his own experiences, ...

Abstract: The Multi-depot Vehicle Routing Problem with Uncertain Demand (MD-VRPUD) can be modeled as a bi-level optimization problem (BLOP), because it requires both assigning customers to different ...

Algorithms are everywhere, even when we do not notice them. They help us search the web, navigate roads, and discover new content online. Understanding how algorithms work is one of the simplest ways ...

Kharizmi helped solidify the concept of algorithms in mathematics and popularized algebra and the use of the zero.

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Rob Williams knows how to pitch Jeff Bezos: You write a press release as if your product has already been built. Bezos reads it and gives a thumbs up or down. Williams went through this process a lot ...