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 ...

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 ...

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 ...

This is the implementation of 3rd Part in 3-Part Series of Algorithms Illuminated Book. All Implementations in this repository are written in both Python and Golang. Single IPython Notebook contains ...

From deciding what to eat for dinner to considering whether it's the right time to buy a house, problem-solving is a large part of our daily lives. It's an important skill that we use to make all ...

Abstract: The multidimensional knapsack problem (MKP) is a classified NP-hard optimization problem, which is a generalisation of the 0-1 simple knapsack problem (KP). It consists in selecting a subset ...