Maximal Packing of a Knapsack with Given Items

KNAPSACK_01, a MATLAB library which uses brute force to solve small versions of the 0/1 knapsack problem.

In the 0/1 knapsack problem, we are given a knapsack with carrying capacity C, and a set of N items, with the I-th item having a weight of W(I). We want to pack as much total weight as possible into the knapsack without exceeding the weight limit. We do this by specifying which items we will not take (0) or take (1).

This library uses a simple brute force or exhaustive search method, which is guaranteed to get the optimal solution, but which is not efficient for large values of N.


The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.


KNAPSACK_01 is available in a C version and a C++ version and a FORTRAN90 version and a FORTRAN77 version and a MATLAB version and a Python version.

Related Data and Programs:

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COMBINATION_LOCK, a MATLAB program which simulates the process of determining the secret combination of a lock.

COMBO, a MATLAB library which includes many combinatorial routines.

KNAPSACK_01, a dataset directory which contains test data for the 0/1 knapsack problem;

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SATISFY, a MATLAB program which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem.

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SUBSET_SUM, a MATLAB library which seeks solutions of the subset sum problem, in which it is desired to find a subset of a set of integers which has a given sum.

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Source Code:

Examples and Tests:

You can go up one level to the MATLAB source codes.

Last revised on 21 August 2014.