There is no EPTAS for two-dimensional knapsack

In the d-dimensional ( vector) knapsack problem given is a set of items, each having a d-dimensional size vector and a profit, and a d-dimensional bin. The goal is to select a subset of the items of maximum total profit such that the sum of all vectors is bounded by the bin capacity in each dimensio...

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Bibliographic Details
Published in:	Information processing letters Vol. 110; no. 16; pp. 707 - 710
Main Authors:	Kulik, Ariel, Shachnai, Hadas
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 31.07.2010 Elsevier Elsevier Sequoia S.A
Subjects:	Algorithmics. Computability. Computer arithmetics Algorithms Applied sciences Approximation Approximations and expansions Computer science; control theory; systems Efficient polynomial-time approximation schemes Exact sciences and technology Knapsack problem Mail order Mathematical analysis Mathematics Miscellaneous Parameterized complexity Probabilistic analysis Problem solving Running Sciences and techniques of general use Studies Theoretical computing Theory of computation Two dimensional Two-dimensional knapsack Vectors (mathematics) Theory of computation Efficient polynomial-time approximation schemes Two-dimensional knapsack Parameterized complexity Computer theory Polynomial approximation Approximation algorithm Complexity Knapsack problem Polynomial time Maximum Information processing Two-dimensional calculations Vector Algorithm analysis
ISSN:	0020-0190, 1872-6119
Online Access:	Get full text
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