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 …

[BOG][B] Integer programming

LA Wolsey - 2020 - books.google.com
A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER
VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming …

[HTML][HTML] A fast and effective breakpoints heuristic algorithm for the quadratic knapsack problem

DS Hochbaum, P Baumann, O Goldschmidt… - European Journal of …, 2024 - Elsevier
Abstract The Quadratic Knapsack Problem (QKP) involves selecting a subset of elements
that maximizes the sum of pairwise and singleton utilities without exceeding a given budget …

Parametric convex quadratic relaxation of the quadratic knapsack problem

M Fampa, D Lubke, F Wang, H Wolkowicz - European Journal of …, 2020 - Elsevier
We consider a parametric convex quadratic programming (CQP) relaxation for the quadratic
knapsack problem (QKP). This relaxation maintains partial quadratic information from the …

[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 lifted-space dynamic programming algorithm for the Quadratic Knapsack Problem

FD Fomeni - Discrete Applied Mathematics, 2023 - Elsevier
Abstract The Quadratic Knapsack Problem (QKP) is a well-known combinatorial optimization
problem which amounts to maximizing a quadratic function of binary variables, subject to a …

[PDF][PDF] The importance of fine-tuning Gurobi parameters when solving quadratic knapsack problems: A guide for OR practitioners. Pure and New Mathematics in AI …

D Rando, Y Lu, MS Song, FJ Vasko - optimization, 2024 - researchgate.net
In the operations research (OR) literature several highly efficient solution methods for the
Quadratic Knapsack Problem (QKP) have been documented. However, these solution …

A cooperative learning approach for the quadratic knapsack problem

E Lalla-Ruiz, E Segredo, S Voß - … , LION 12, Kalamata, Greece, June 10 …, 2019 - Springer
Abstract The Quadratic Knapsack Problem (QKP) is a well-known optimization problem
aimed to maximize a quadratic objective function subject to linear capacity constraints. It has …

Metodi di ottimizzazione per problemi di knapsack e tool switching

A Locatelli - 2023 - iris.unimore.it
This Ph. D. thesis deals with two different classes of optimization problems: knapsack
problems and tool switching problems. Knapsack problems became a classical and rich …

A lifted-space dynamic programming algorithm for the Quadratic Knapsack Problem

F Djeumou Fomeni - 2023 - dl.acm.org
Abstract The Quadratic Knapsack Problem (QKP) is a well-known combinatorial optimization
problem which amounts to maximizing a quadratic function of binary variables, subject to a …