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<html>
<head>
<title>
KNAPSACK_01 - Maximal Packing of a Knapsack with Given Items
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055" >
<h1 align = "center">
KNAPSACK_01 <br> Maximal Packing of a Knapsack with Given Items
</h1>
<hr>
<p>
<b>KNAPSACK_01</b>,
a MATLAB library which
uses brute force to solve small versions of the 0/1 knapsack problem.
</p>
<p>
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
with items we will not take (0) or take (1).
</p>
<p>
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.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>KNAPSACK_01</b> is available in
<a href = "../../c_src/knapsack_01/knapsack_01.html">a C version</a> and
<a href = "../../cpp_src/knapsack_01/knapsack_01.html">a C++ version</a> and
<a href = "../../f_src/knapsack_01/knapsack_01.html">a FORTRAN90 version</a> and
<a href = "../../f77_src/knapsack_01/knapsack_01.html">a FORTRAN77 version</a> and
<a href = "../../m_src/knapsack_01/knapsack_01.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/change_making/change_making.html">
CHANGE_MAKING</a>,
a MATLAB library which
considers the change making problem,
in which a given sum is to be formed using coins of various denominations.
</p>
<p>
<a href = "../../m_src/combination_lock/combination_lock.html">
COMBINATION_LOCK</a>,
a MATLAB program which
simulates the process of determining the secret combination of a lock.
</p>
<p>
<a href = "../../m_src/combo/combo.html">
COMBO</a>,
a MATLAB library which
includes many combinatorial routines.
</p>
<p>
<a href = "../../datasets/knapsack_01/knapsack_01.html">
KNAPSACK_01</a>,
a dataset directory which
contains test data for the 0/1 knapsack problem;
</p>
<p>
<a href = "../../m_src/partition_problem/partition_problem.html">
PARTITION_PROBLEM</a>,
a MATLAB library which
seeks solutions of the partition problem, splitting a set of integers into
two subsets with equal sum.
</p>
<p>
<a href = "../../m_src/satisfy/satisfy.html">
SATISFY</a>,
a MATLAB program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfiability problem.
</p>
<p>
<a href = "../../m_src/subset/subset.html">
SUBSET</a>,
a MATLAB library which
enumerates, generates, ranks and unranks combinatorial objects
including combinations, partitions, subsets, index sets, and trees.
</p>
<p>
<a href = "../../m_src/subset_sum/subset_sum.html">
SUBSET_SUM</a>,
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.
</p>
<p>
<a href = "../../m_src/tsp_brute/tsp_brute.html">
TSP_BRUTE</a>,
a MATLAB program which
reads a file of city-to-city distances and solves the
traveling salesperson problem, using brute force.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "knapsack_01.m">knapsack_01.m</a>
seeks the optimal solution of the 0/1 knapsack problem
using exhaustive search.
</li>
<li>
<a href = "subset_gray_next.m">subset_gray_next.m</a>
computes all possible subsets of a set of N objects, one at a time.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>
prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "knapsack_01_test.m">knapsack_01_test.m</a>,
calls all the tests.
</li>
<li>
<a href = "knapsack_01_test01.m">knapsack_01_test01.m</a>,
lists data for some sample problems.
</li>
<li>
<a href = "knapsack_01_test_output.txt">knapsack_01_test_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 21 August 2014.
</i>
<!-- John Burkardt -->
</body>
</html>