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 ...

Few things amaze me like people who can solve a Rubik's Cube. Sure, lots of things amaze me more — mountains, elaborate water features, how my dog sits on the couch and watches Unsolved Mysteries like ...

Abstract: The optimization of aircraft loading problems are critical for operational efficiency and safety in the aviation industry. Therefore, how to improve the convergence speed and solution ...

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 ...

Add Yahoo as a preferred source to see more of our stories on Google. Contrary to their name, bumblebees are no bumbling oafs. A new study published in Science on Thursday found that these bees ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

A Microsoft account allows you to sign in to a wide range of Microsoft 365 apps and services using a single email and password. However, at times, you may encounter issues signing in to these apps.

Last month many mathematicians were shocked by OpenAI’s announcement that artificial intelligence had solved geometry’s famous “unit distance” problem. For some, the achievement was exciting. But ...