Abstract: This paper aims to discuss and compare various metaheuristic algorithms applied to the “Knapsack Problem”. The Knapsack Problem is a combinatorial optimization maximization problem which ...

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 ...

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 ...

A Python implementation of a branch-and-bound approach (plus a simple greedy heuristic) to solve a variation of the multiple knapsack problem where items have both individual and pairwise benefits.

The original version of this story appeared in Quanta Magazine. Computer scientists often deal with abstract problems that are hard to comprehend, but an exciting new algorithm matters to anyone who ...

You may have noticed that Smokey Bear has changed his tagline. In fact, it’s been different for years now, but with current news stories, it catches the ear differently. Many of us grew up with Smokey ...

I hope this message finds you well. After reviewing the README, I noticed that the Knapsack Problem has not yet been implemented in C++. I would like to take on this task and contribute the ...

Here we present two novel contributions for achieving quantum advantage in solving difficult optimisation problems, both in theory and foreseeable practice. (1) We introduce the "Quantum Tree ...