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Knapsack problems — An overview of recent advances. Part I: Single knapsack problems

Computers & Operations Research, 2022
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Cacchiani V.   +3 more
openaire   +4 more sources

Geometric knapsack problems

Algorithmica, 1993
We study a variety of geometric versions of the classical knapsack problem. In particular, we consider the following ``fence enclosure'' problem: Given a set \(S\) of \(n\) points in the plane with values \(v_ i\geq 0\), we wish to enclose a subset of the points with a fence (a simple closed curve) in order to maximize the ``value'' of the enclosure ...
Arkin, Esther M.   +2 more
openaire   +1 more source

STATIC STOCHASTIC KNAPSACK PROBLEMS

Probability in the Engineering and Informational Sciences, 2015
Two stochastic knapsack problem (SKP) models are considered: the static broken knapsack problem (BKP) and the SKP with simple recourse and penalty cost problem. For both models, we assume: the knapsack has a constant capacity; there are n types of items and each type has an infinite supply; a type i item has a deterministic reward vi and a random ...
Chen, Kai, Ross, Sheldon M.
openaire   +1 more source

Hard Knapsack Problems

Operations Research, 1980
We consider a class of algorithms which use the combined powers of branch-and-bound, dynamic programming and rudimentary divisibility arguments for solving the zero-one knapsack problem. Our main result identifies a class of instances of the problem which are difficult to solve by such algorithms.
openaire   +1 more source

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