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Statistical mechanics of the knapsack problem

E Korutcheva, M Opper and B Lopez

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The knapsack problem is an NP-complete combinatorial optimization problem with inequality constraints. Using the replica method of statistical physics, we study the space of its solutions for a large problem size. It turns out that this problem is closely related to the theory of the binary perceptron.


PACS

05.20.-y Classical statistical mechanics

02.10.Ox Combinatorics; graph theory

02.60.Pn Numerical optimization

MSC

82B05 Classical equilibrium statistical mechanics (general)

90C27 Combinatorial optimization

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 18 (21 September 1994)



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