Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

The assignment problem is formulated and briefly discussed. An efficient algorithm for its solution is presented in ALGOL code. An empirical relation between solution time and the size of the problem ...

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 ...

Abstract: The growth of international trade has accelerated the development of waterway transportation, thereby increasing the demand for the construction of container terminals. Optimizing the Berth ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

Right now, quantum computers are small and error-prone compared to where they’ll likely be in a few years. Even within those limitations, however, there have been regular claims that the hardware can ...

Abstract: In recent decades, metaheuristic algorithms have emerged as indispensable tools for addressing complex optimization challenges, particularly in several engineering fields, where NP-hard ...

Mr. Ferguson is a documentary filmmaker. As you scroll through the internet, you’ve probably noticed the same problem Kirby Ferguson has: “Everything looks the same, sounds the same, is the same.” In ...