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Knapsack problem and List of knapsack problems

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Knapsack problem and List of knapsack problems

Knapsack problem vs. List of knapsack problems

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 the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. The knapsack problem is one of the most studied problems in combinatorial optimization, with many real-life applications.

Similarities between Knapsack problem and List of knapsack problems

Knapsack problem and List of knapsack problems have 9 things in common (in Unionpedia): Bin packing problem, Combinatorial optimization, Cutting stock problem, Decision problem, NP-completeness, Polynomial-time approximation scheme, Pseudo-polynomial time, Quadratic knapsack problem, Subset sum problem.

Bin packing problem

In the bin packing problem, objects of different volumes must be packed into a finite number of bins or containers each of volume V in a way that minimizes the number of bins used.

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Combinatorial optimization

In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects.

Combinatorial optimization and Knapsack problem · Combinatorial optimization and List of knapsack problems · See more »

Cutting stock problem

In operations research, the cutting-stock problem is the problem of cutting standard-sized pieces of stock material, such as paper rolls or sheet metal, into pieces of specified sizes while minimizing material wasted.

Cutting stock problem and Knapsack problem · Cutting stock problem and List of knapsack problems · See more »

Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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NP-completeness

In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.

Knapsack problem and NP-completeness · List of knapsack problems and NP-completeness · See more »

Polynomial-time approximation scheme

In computer science, a polynomial-time approximation scheme (PTAS) is a type of approximation algorithm for optimization problems (most often, NP-hard optimization problems).

Knapsack problem and Polynomial-time approximation scheme · List of knapsack problems and Polynomial-time approximation scheme · See more »

Pseudo-polynomial time

In computational complexity theory, a numeric algorithm runs in pseudo-polynomial time if its running time is a polynomial in the numeric value of the input (the largest integer present in the input) — but not necessarily in the length of the input (the number of bits required to represent it), which is the case for polynomial time algorithms.

Knapsack problem and Pseudo-polynomial time · List of knapsack problems and Pseudo-polynomial time · See more »

Quadratic knapsack problem

The quadratic knapsack problem (QKP), first introduced in 19th century, is an extension of knapsack problem that allows for quadratic terms in the objective function: Given a set of items, each with a weight, a value, and an extra profit that can be earned if two items are selected, determine the number of item to include in a collection without exceeding capacity of the knapsack, so as to maximize the overall profit.

Knapsack problem and Quadratic knapsack problem · List of knapsack problems and Quadratic knapsack problem · See more »

Subset sum problem

In computer science, the subset sum problem is an important problem in complexity theory and cryptography.

Knapsack problem and Subset sum problem · List of knapsack problems and Subset sum problem · See more »

The list above answers the following questions

Knapsack problem and List of knapsack problems Comparison

Knapsack problem has 49 relations, while List of knapsack problems has 13. As they have in common 9, the Jaccard index is 14.52% = 9 / (49 + 13).

References

This article shows the relationship between Knapsack problem and List of knapsack problems. To access each article from which the information was extracted, please visit:

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