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Knapsack problem

Known as: Unbounded knapsack problem, Binary knapsack problem, BKP 
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine… Expand
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Related topics

Related topics

40 relations
Approximation algorithmBaby-step giant-stepBacktrackingBin packing problem
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Broader (3)

Combinatorial optimizationDynamic programmingOperations research

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2008
Highly Cited
2008
Knapsack Problems
Since no competitive online algorithms exist for general knapsack problems, we consider online variants of knapsack problems with… Expand
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Highly Cited
2005
Highly Cited
2005
A Polynomial Time Approximation Scheme for the Multiple Knapsack Problem
The multiple knapsack problem (MKP) is a natural and well-known generalization of the single knapsack problem and is defined as… Expand
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Highly Cited
2000
Highly Cited
2000
A PTAS for the multiple knapsack problem
The Multiple Knapsack problem (MKP) is a natural and well known generalization of the single knapsack problem and is defined as… Expand
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Highly Cited
1999
Highly Cited
1999
Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem
Two new algorithms recently proved to outperform all previous methods for the exact solution of the 0-1 Knapsack Problem. This… Expand
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Highly Cited
1998
Highly Cited
1998
A Genetic Algorithm for the Multidimensional Knapsack Problem
In this paper we present a heuristic based upon genetic algorithms for the multidimensional knapsack problem. A heuristic… Expand
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Highly Cited
1990
Highly Cited
1990
Knapsack Problems: Algorithms and Computer Implementations
Introduction knapsack problem bounded knapsack problem subset-sum problem change-making problem multiple knapsack problem… Expand
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Highly Cited
1980
Highly Cited
1980
An Algorithm for Large Zero-One Knapsack Problems
We describe an algorithm for the 0-1 knapsack problem (KP), which relies mainly on three new ideas. The first one is to focus on… Expand
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Highly Cited
1975
Highly Cited
1975
Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Given a positive integer M and n pairs of positive integers (p~, cD, , (p. , c.), maximize the s u m ~ ~p~ subject to the cons t… Expand
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Highly Cited
1975
Highly Cited
1975
Approximate Algorithms for the 0/1 Knapsack Problem
A serms of increasingly accurate algorithms to obtain approximate solutions to the 0/1 one-dlmensmnal knapsack problem :s… Expand
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Highly Cited
1974
Highly Cited
1974
Computing Partitions with Applications to the Knapsack Problem
Given <italic>r</italic> numbers <italic>s</italic><subscrpt>1</subscrpt>, ···, <italic>s<subscrpt>r</subscrpt></italic… Expand
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