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Add benchmark results for multidimensional knapsack

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Alinson S. Xavier
2020-02-24 10:03:17 -06:00
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<li class="third-level"><a href="#problem-definition">Problem definition</a></li>
<li class="third-level"><a href="#random-instance-generator">Random instance generator</a></li>
<li class="third-level"><a href="#benchmark-challenges_1">Benchmark challenges</a></li>
<li class="third-level"><a href="#benchmark-results">Benchmark results</a></li>
<li class="second-level"><a href="#multidimensional-0-1-knapsack-problem">Multidimensional 0-1 Knapsack Problem</a></li>
<li class="third-level"><a href="#problem-definition_1">Problem definition</a></li>
@@ -180,8 +186,6 @@
fix_graph=True)
</code></pre>
<h3 id="benchmark-results">Benchmark results</h3>
<h4 id="challenge-a_1">Challenge A</h4>
<p><img alt="alt" src="../figures/benchmark_stab_a.png" /></p>
<h2 id="multidimensional-0-1-knapsack-problem">Multidimensional 0-1 Knapsack Problem</h2>
<h3 id="problem-definition_1">Problem definition</h3>
@@ -225,7 +229,26 @@ from the provided probability distributions <code>K</code> and <code>u</code>.</
<li>Freville, Arnaud, and Gérard Plateau. <em>An efficient preprocessing procedure for the multidimensional 0–1 knapsack problem.</em> Discrete applied mathematics 49.1-3 (1994): 189-212.</li>
<li>Fréville, Arnaud. <em>The multidimensional 0–1 knapsack problem: An overview.</em> European Journal of Operational Research 155.1 (2004): 1-21.</li>
</ul>
</div></div>
</div>
<h4 id="challenge-a_1">Challenge A</h4>
<ul>
<li>250 variables, 10 constraints, fixed weights</li>
<li>$w \sim U(0, 1000), \gamma \sim U(0.95, 1.05)$</li>
<li>$K = 500, u \sim U(0, 1), \alpha = 0.25$</li>
<li>500 training instances, 50 test instances</li>
</ul>
<pre><code class="python">MultiKnapsackGenerator(n=randint(low=250, high=251),
m=randint(low=10, high=11),
w=uniform(loc=0.0, scale=1000.0),
K=uniform(loc=500.0, scale=0.0),
u=uniform(loc=0.0, scale=1.0),
alpha=uniform(loc=0.25, scale=0.0),
fix_w=True,
w_jitter=uniform(loc=0.95, scale=0.1),
)
</code></pre>
<p><img alt="alt" src="../figures/benchmark_knapsack_a.png" /></p></div>
</div>
@@ -234,17 +257,17 @@ from the provided probability distributions <code>K</code> and <code>u</code>.</
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@@ -256,11 +279,8 @@ from the provided probability distributions <code>K</code> and <code>u</code>.</
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