Abstract: In this study, we consider the application of the Hungarian algorithm for allocating positions in robotic formations. Two modifications of the Hungarian algorithm are compared. The time ...

The auction algorithm is a simple, well-studied alternative to the Hungarian method that: scales well to large problems, is naturally parallelisable and fits JAX’s accelerator model, is widely used in ...

Children as young as 4 years old are capable of finding efficient solutions to complex problems, such as independently inventing sorting algorithms developed by computer scientists. The scientists ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

1 Tianjin Engineering Research Center of Civil Aviation Energy Environment and Green Development, Civil Aviation University of China, Tianjin, China. 2 Groupe d’Acoustigue de l’ Université de ...

Dynamic traffic assignment (DTA) models are integral to modern transportation research, offering frameworks to predict and optimise the flow of vehicles over time within complex networks. These models ...

John Peterson does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

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 ...

Abstract: In the field of combinatorial optimization, numerous methods have been developed to address complex problems, including assignment, scheduling, and resource allocation. This paper presents a ...

Research Institute for Electronic Science, Hokkaido University, Sapporo 001-0020, Japan Institute for Chemical Reaction Design and Discovery (ICReDD), Hokkaido University, Sapporo 001-0020, Japan ...