A Note on Approximation Schemes for Multidimensional Knapsack Problems

Published Online:https://doi.org/10.1287/moor.9.2.244

Polynomial and fully polynomial approximation algorithms for single-dimensional knapsack problems have been extensively studied and a number of such algorithms constructed. This note shows that the problem of finding a fully polynomial approximation algorithm for multidimensional knapsack problems is NP-hard.

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