A new algorithm for the 0-1 knapsack problem
Management Science
Knapsack problems: algorithms and computer implementations
Knapsack problems: algorithms and computer implementations
Two-phases Method and Branch and Bound Procedures to Solve the Bi–objective Knapsack Problem
Journal of Global Optimization
Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem
Management Science
Core Problems in Knapsack Algorithms
Operations Research
Solving bicriteria 0-1 knapsack problems using a labeling algorithm
Computers and Operations Research
The Multidimensional Knapsack Problem: Structure and Algorithms
INFORMS Journal on Computing
Journal of Global Optimization
An incomplete m-exchange algorithm for solving the large-scale multi-scenario knapsack problem
Computers and Operations Research
Algorithmic improvements on dynamic programming for the bi-objective {0,1} knapsack problem
Computational Optimization and Applications
Finding all nondominated points of multi-objective integer programs
Journal of Global Optimization
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The most efficient algorithms for solving the single-criterion {0,1}-knapsack problem are based on the core concept (i.e., based on a small number of relevant variables). But this concept is not used in problems with more than one criterion. The main purpose of this paper is to validate the existence of such a set of variables in bi-criteria {0-1}-knapsack instances. Numerical experiments were performed on five types of {0,1}-knapsack instances. The results are presented for the supported and non-supported solutions as well as for the entire set of efficient solutions. A description of an approximate and an exact method is also presented.