The 2D Multi-Agent Path Finding (MAPF) problem aims at finding collision-free paths for a number of agents, from a set of start locations to a set of goal positions in a known 2D environment. MAPF has been studied in theoretical computer science, robotics, and artificial intelligence over several decades, due to its importance for robot navigation. It is currently experiencing significant scientific progress due to its relevance in automated warehousing (such as those operated by Amazon) and in other contemporary application areas. In this paper, we demonstrate that some recently developed MAPF algorithms apply more broadly than currently believed in the MAPF research community. In particular, we describe the 3D Pipe Routing (PR) problem, which aims at placing collision-free pipes from given start locations to given goal locations in a known 3D environment.

The app development business is a more complicated process than someone sitting at their computer, constantly coding and hoping one goes viral. In fact, most of the apps people enjoy took nearly a year to develop. "Mobile applications require months of effort to develop. Each company wants something uniquely specific to them and we have to constantly work together to find what that is," Sergey Belov, CEO of the application development startup company bromin7, told International Business Times. The process begins with mobile application companies marketing themselves and finding clients.

You can think of Lucy as the fastest marketing researcher on the planet. Minneapolis-based digital marketing and technology agency GoKart Labs "hired" Lucy in May and was quickly amazed. "When I asked a question of Lucy--it was a specific question about a client's competitors--it found that information," says Rob Rosen, GoKart's director of digital marketing and analytics. "Even Google didn't find that information in a clear way." Lucy can scour the internet and rapidly present marketing data and insights that Google can't provide.