The multiobjective multidimensional knapsack problem: a survey and a new approach
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Publication:2865172
DOI10.1111/j.1475-3995.2011.00840.xzbMath1277.90116arXiv1007.4063OpenAlexW2082003798MaRDI QIDQ2865172
Thibaut Lust, Jacques jun. Teghem
Publication date: 29 November 2013
Published in: International Transactions in Operational Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.4063
Multi-objective and goal programming (90C29) Approximation methods and heuristics in mathematical programming (90C59) Combinatorial optimization (90C27)
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- A survey of very large-scale neighborhood search techniques
- A comparative study of multiple-objective metaheuristics on the bi-objective set covering problem and the Pareto memetic algorithm
- A scatter search method for the bi-criteria multi-dimensional \(\{0,1\}\)-knapsack problem using surrogate relaxation
- Integrating partial optimization with scatter search for solving bi-criteria \({0, 1}\)-knapsack problems
- Bound sets for biobjective combinatorial optimization problems
- Local dominance and local recombination in MOEAs on \(0/1\) multiobjective knapsack problems
- MOTGA: a multiobjective Tchebycheff based genetic algorithm for the multidimensional knapsack problem
- Multi-start and path relinking methods to deal with multiobjective Knapsack problems
- Solving efficiently the 0-1 multi-objective knapsack problem
- Two-phase Pareto local search for the biobjective traveling salesman problem
- Implementing an efficient fptas for the 0-1 multi-objective knapsack problem
- Solving multiobjective, multiconstraint knapsack problems using mathematical programming and evolutionary algorithms
- Solving the bi-objective multi-dimensional knapsack problem exploiting the concept of core
- Nonlinear multiobjective optimization
- Optimization by ghost image processes in neural networks
- Two-phases method and branch and bound procedures to solve the bi-objective knapsack problem
- Multiple criteria optimization: State of the art annotated bibliographic surveys
- Solving bicriteria 0--1 knapsack problems using a labeling algorithm.
- Tabu search based procedure for solving the 0-1 multiobjective knapsack problem: The two objectives case
- Guided local search and its application to the traveling salesman problem
- On the computational efficiency of multiple objective metaheuristics. The knapsack problem case study
- Solving the biobjective zero-one knapsack problem by an efficient LP-based heuristic
- Core problems in bi-criteria \(\{0,1\}\)-knapsack problems
- Analysis of a multiobjective evolutionary algorithm on the 0-1 knapsack problem
- A scatter search method for bi-criteria \(\{0,1\}\)-knapsack problems
- An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method
- Approximating Multiobjective Knapsack Problems
- An Algorithm for Large Zero-One Knapsack Problems
- Pareto simulated annealing—a metaheuristic technique for multiple‐objective combinatorial optimization
- Multi‐objective combinatorial optimization problems: A survey
- MOSA method: a tool for solving multiobjective combinatorial optimization problems
- MEMOTS: a memetic algorithm integrating tabu search for combinatorial multiobjective optimization
- A Multiphase-Dual Algorithm for the Zero-One Integer Programming Problem
- On a Bicriterion Formulation of the Problems of Integrated System Identification and System Optimization
- An Effective Heuristic Algorithm for the Traveling-Salesman Problem
- Evolutionary Computation in Combinatorial Optimization
- Handbook of metaheuristics
- Genetic local search for multi-objective combinatorial optimization
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