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 ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

In a standard paper assignment setting, a set $\mathcal{P}$ of $n^{(p)}$ papers needs to be assigned to a set $\mathcal{R}$ of $n^{(r)}$ reviewers. To ensure each ...

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 ...

Institute of Logistics Science and Engineering of Shanghai Maritime University, Pudong, China Introduction: This study addresses the joint scheduling optimization of continuous berths and quay cranes ...

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

Power distribution systems are often conceptualized as optimization models. While optimizing agents to perform tasks works well for systems with limited checkpoints, things begin to go out of hand ...

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 ...