Combinatorial optimisation for knapsack problems addresses the challenge of selecting discrete items to maximise value under capacity constraints. Such problems are central to resource allocation, ...

Abstract: The multiple-choice knapsack problem (MCKP) is a classic NP-hard combinatorial optimization problem. Motivated by several significant real-world applications, this work investigates a novel ...

Japanese AI lab Sakana AI has introduced a new technique that allows multiple large language models (LLMs) to cooperate on a single task, effectively creating a "dream team" of AI agents. The method, ...

OpenAI recently unveiled its latest artificial intelligence (AI) models, o1-preview and o1-mini (also referred to as “Strawberry”), claiming a significant leap in the reasoning capabilities of large ...

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.

ABSTRACT: Aiming at constructing the multi-knapsack model of collaborative portfolio configurations in multi-strategy oriented, the hybrid evolutionary algorithm was designed based on greedy method, ...

Civil War soldiers carried a lot of baggage — an average of 50 pounds. The knapsack, or “Patent Bureau,” issued by the government was not designed to support heavy weight. Soldiers suffered severe ...

This repository was created for the subject of Computer Theory. The propose of this subject is to improve your skills to solve the 0-1 knapsack problem of different ways. The techniques used were ...