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    <title>Neo4j shortest path optimization</title>

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          <h2 class="center" id="title">NEO4J SHORTEST PATH OPTIMIZATION</h2>
          <h6 class="center">06 MARCH 2018</h5>
          <br>
          <div class="twocol justify"><p>Replaced Dijkstra’s for vessel route tracking in Neo4J.</p>

<p>Tracking 13,000 marine vessel route points. Needed shortest paths between ports
for arrival prediction. Neo4j’s Dijkstra’s algorithm slows after 4,000 route
points.</p>

<p>Implemented A* search using haversine function as heuristic:</p>

<div class="language-plaintext highlighter-rouge"><div class="highlight"><pre class="highlight"><code>private double computeHeuristic(
    final double lat1, final double lon1,
    final double lat2, final double lon2) {
    final int earthRadius = 6371;
    final double kmToNM = 0.539957;

    final double latDistance = Math.toRadians(lat2 - lat1);
    final double lonDistance = Math.toRadians(lon2 - lon1);

    final double a = Math.sin(latDistance / 2) 
        * Math.sin(latDistance / 2)
        + Math.cos(Math.toRadians(lat1)) 
        * Math.cos(Math.toRadians(lat2))
        * Math.sin(lonDistance / 2) 
        * Math.sin(lonDistance / 2);

    final double c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a));

    return earthRadius * c * kmToNM;
}
</code></pre></div></div>

<p>Core search loop updates costs when better path found:</p>

<div class="language-plaintext highlighter-rouge"><div class="highlight"><pre class="highlight"><code>private void updateCosts(
    final int source, final int target,
    final double newCost, final double heuristic) {
    final double oldCost = gCosts.getOrDefault(target, Double.MAX_VALUE);
    if (newCost &lt; oldCost) {
        gCosts.put(target, newCost);
        fCosts.put(target, newCost + heuristic);
        path.put(target, source);
    }
}
</code></pre></div></div>

<p>Outcome: 300x speedup. Scaled to 13,000 route points. Upstreamed changes. <a href="https://github.com/neo4j-contrib/neo4j-graph-algorithms/releases/tag/3.4.0.0" class="external" target="_blank" rel="noopener noreferrer">Neo4J v3.4.0</a>.
<a href="https://github.com/neo4j-contrib/neo4j-graph-algorithms/blob/bd9732d9a690319552e134708692acb5a0d6b37c/algo/src/main/java/org/neo4j/graphalgo/impl/ShortestPathAStar.java">Full source</a></p>
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          <p class="post-author right">by W. D. Sadeep Madurange</p>
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