Knapsack problems—An overview of recent advances. Part II: Multiple, multidimensional, and quadratic knapsack problems

V Cacchiani, M Iori, A Locatelli, S Martello - Computers & Operations …, 2022 - Elsevier
After the seminal books by Martello and Toth (1990) and Kellerer, Pferschy, and Pisinger
(2004), knapsack problems became a classical and rich research area in combinatorial …

A swarm optimization-based search algorithm for the quadratic knapsack problem with conflict graphs

I Dahmani, M Hifi, T Saadi, L Yousef - Expert Systems with Applications, 2020 - Elsevier
The knapsack problem arises in a variety of real world applications such as railway stations,
flexible manufacturing systems, multimedia, cryptography and hydrological studies. In this …

Optimization algorithms for the disjunctively constrained knapsack problem

M Ben Salem, R Taktak, AR Mahjoub, H Ben-Abdallah - Soft Computing, 2018 - Springer
This paper deals with the Knapsack Problem with conflicts, also known as the Disjunctively
Constrained Knapsack Problem. The conflicts are represented by a graph whose vertices …

Two-dimensional disjunctively constrained knapsack problem: Heuristic and exact approaches

TA de Queiroz, PHDB Hokama, RCS Schouery… - Computers & Industrial …, 2017 - Elsevier
This work deals with the 0–1 knapsack problem in its two-dimensional version considering a
conflict graph, where each edge in this graph represents a pair of items that must not be …

Probabilistic tabu search with multiple neighborhoods for the disjunctively constrained knapsack problem

M Ben Salem, S Hanafi, R Taktak… - RAIRO-Operations …, 2017 - numdam.org
Given a set of items, each with a profit and a weight and a conflict graph describing
incompatibilities between items, the Disjunctively Constrained Knapsack Problem is to …

A parallel ant colony optimization for the maximum-weight clique problem

D El Baz, M Hifi, L Wu, X Shi - 2016 ieee international parallel …, 2016 - ieeexplore.ieee.org
In this paper, we propose a parallel ant colony optimization based metaheuristic for solving
the maximum-weight clique problem, which is a variation of the maximum clique problem …

A modified descent method-based heuristic for binary quadratic knapsack problems with conflict graphs

I Dahmani, M Hifi - Annals of Operations Research, 2021 - Springer
The knapsack problem arises in a variety of real world applications, including flexible
manufacturing systems, railway stations, hydrological studies and others. In this paper, we …

[PDF][PDF] Optimization methods for knapsack and tool switching problems.

A Locatelli - 4OR, 2023 - iris.unimore.it
Knapsack problems are a highly active research area in combinatorial optimization.
Although, the knapsack problem has been known since over a century, see Mathews [368] …

A new optimization model for the sustainable development: Quadratic knapsack problem with conflict graphs

X Shi, L Wu, X Meng - Sustainability, 2017 - mdpi.com
New information technology constantly improves the efficiency of social networks. Using
optimization and decision models in the context of large data sets attracts extensive …

The Knapsack Problem with Conflict Pair Constraints on Bipartite Graphs and Extensions

AP Punnen, J Dhahan - Algorithms, 2024 - mdpi.com
In this paper, we study the knapsack problem with conflict pair constraints. After a thorough
literature survey on the topic, our study focuses on the special case of bipartite conflict …