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Knapsack problem

The knapsack problem is the following problem in combinatorial optimization:

Applications, Computational complexity & Solving

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Overview

Applications

Computational complexity

Solving

Variations

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Map overview Semantic statistics

Knapsack problem

Nodes63
Edges62
Triples134
Avg. degree1.97
Density0.031746
Components1

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Knapsack problem

Top relations

related to References · 29
Knapsack problem → A6, Algorithms, Computers, David, Freeman, Garey, Guide, Hans, Intractability, ISBN, Johnson, Kellerer, Knapsack, Knapsack Problems, Martello, Michael, MP9, MR, NP-Completeness, Paolo
related to External links · 20
Knapsack problem → Bin PackingKnapsack Integer Programming, David Pisinger, February, Genetic Algorithms, Home, Knapsack, Lecture, May, Problem, Python Gekko, Quadratic Knapsack Problem Archived, Rosetta CodeDynamic Programming, Ruby Archived, Solution, Solving, Unbounded Knapsack Problem, Wayback Machine Optimizing Three-Dimensional, Wayback MachineCodes, Where, Yet Another
related to Unit-cost models · 15
Knapsack problem → An, Dobkin, Heide, However, If, In, Knapsack, Lipton, Meyer, Note, Steele, The NP-hardness, This, Turing, Yao
has application · 10
Knapsack problem → Feuerman, For, Hellman, However, Knapsack, Merkle, Of, One, The, Weiss
related to Approximation Algorithms · 8
Knapsack problem → As, FPTAS, NP-complete, NP-Hard, Preferably, The, This, To
related to Dominance relations · 8
Knapsack problem → Finding, For, In, Note, Solving, Then, There, Therefore
related to Online · 8
Knapsack problem → For, Han, In, It, Kawase, Makino, There, Whenever
see also · 7
Knapsack problem → Algorithmic, Bin, Choosing, Computer, Mathematical, Problems, Subfield
related to Computational complexity · 6
Knapsack problem → Can, Many, NP-complete, The, There, This
related to Quadratic · 5
Knapsack problem → Gallo, Hammer, Simeone, The, Witzgall

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Important terminology

problem knapsack displaystyle algorithm items value time item solution problems weight one sum polynomial number set algorithms np-complete given bound

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Knapsack problemis afollowing problem in combinatorial optimization0.90text
the number of itemsinstance ofThe main variations occur by changing the number of some problem parameter0.80text
number of objectivesinstance ofThe main variations occur by changing the number of some problem parameter0.80text
or even the number of knapsacks.Multi-dimensional objectiveHereinstance ofThe main variations occur by changing the number of some problem parameter0.80text
instead of a single objectiveinstance ofThe main variations occur by changing the number of some problem parameter0.80text
Knapsack problemhas applicationKnapsack0.60section
Knapsack problemhas applicationMerkle0.60section
Knapsack problemhas applicationHellman0.60section
Knapsack problemhas applicationOne0.60section
Knapsack problemhas applicationFor0.60section
Knapsack problemhas applicationHowever0.60section
Knapsack problemhas applicationFeuerman0.60section

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