diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
index bacb8e3..3ca2ab2 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/DijkstraAlgorithm.java
@@ -1,5 +1,16 @@
 package org.insa.graphs.algorithm.shortestpath;
 
+import org.insa.graphs.algorithm.AbstractSolution;
+import org.insa.graphs.algorithm.utils.ElementNotFoundException;
+import org.insa.graphs.model.Arc;
+import org.insa.graphs.model.Graph;
+import org.insa.graphs.algorithm.utils.BinaryHeap;
+import org.insa.graphs.model.Path;
+
+import java.util.ArrayList;
+import java.util.Collections;
+
+
 public class DijkstraAlgorithm extends ShortestPathAlgorithm {
 
     public DijkstraAlgorithm(ShortestPathData data) {
@@ -9,9 +20,78 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
     @Override
     protected ShortestPathSolution doRun() {
         final ShortestPathData data = getInputData();
+
+        Graph graph = data.getGraph();
+        final int nbNodes = graph.size();
+
+        // Initialize array of Labels.
+        Label[] labels = new Label[nbNodes];
+        for (int i = 0; i < nbNodes; i++) {
+            labels[i] = new Label(i);
+        }
+        final int origin = data.getOrigin().getId();
+        final int destination = data.getDestination().getId();
+        labels[origin].setCost(0);
+
+        // Initialize the heap
+        BinaryHeap<Label> heap = new BinaryHeap<>();
+        heap.insert(labels[origin]);
+
+        int iterationCounter= 0;
+
+        while (!heap.isEmpty() && labels[destination].isNotMarked()) {
+            Label parent = heap.deleteMin();
+            parent.setMarked(true);
+            System.out.println(parent.getCost());
+            iterationCounter++;
+            for (Arc arc : graph.getNodes().get(parent.getAssociatedNode()).getSuccessors()) {
+                Label current = labels[arc.getDestination().getId()];
+                notifyNodeReached(arc.getDestination());
+
+                if (current.isNotMarked() && data.isAllowed(arc)) {
+                    this.updateCost(arc, parent, current, heap);
+                }
+            }
+        }
+        System.out.println("Nb itérations: " + iterationCounter);
         ShortestPathSolution solution = null;
-        // TODO:
+
+        // Destination has no predecessor, the solution is infeasible...
+        if (labels[destination].getFatherArc() == null) {
+            solution = new ShortestPathSolution(data, AbstractSolution.Status.INFEASIBLE);
+        } else {
+            // The destination has been found, notify the observers.
+            notifyDestinationReached(data.getDestination());
+
+            // Create the path from the array of predecessors...
+            ArrayList<Arc> arcs = new ArrayList<>();
+            Arc arc = labels[destination].getFatherArc();
+            while (arc != null) {
+                arcs.add(arc);
+                arc = labels[arc.getOrigin().getId()].getFatherArc();
+            }
+
+            // Reverse the path...
+            Collections.reverse(arcs);
+
+            // Create the final solution.
+            solution = new ShortestPathSolution(data, AbstractSolution.Status.OPTIMAL, new Path(graph, arcs));
+        }
+
         return solution;
     }
+    
+    private void updateCost(Arc arc, Label parent, Label current, BinaryHeap<Label> heap) {
+        double newCost = parent.getCost() + arc.getLength();
+        if (newCost < current.getCost()) {
+            try {
+                heap.remove(current);
+            } catch (ElementNotFoundException e) {
+            }
+            current.setCost(newCost);
+            current.setFatherArc(arc);
+            heap.insert(current);
+        }
+    }
 
 }
diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java
new file mode 100644
index 0000000..684d4e8
--- /dev/null
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/Label.java
@@ -0,0 +1,52 @@
+package org.insa.graphs.algorithm.shortestpath;
+
+import org.insa.graphs.model.Arc;
+
+public class Label implements Comparable<Label> {
+    private int associatedNode;
+    private double cost;
+
+    private boolean marked;
+
+    private Arc fatherArc;
+
+    public Label(int associatedNode) {
+        this.associatedNode = associatedNode;
+        this.marked = false;
+        this.cost = Double.POSITIVE_INFINITY;
+        this.fatherArc = null;
+    }
+
+    public int getAssociatedNode() {
+        return associatedNode;
+    }
+
+    public double getCost() {
+        return cost;
+    }
+
+    public void setCost(double cost) {
+        this.cost = cost;
+    }
+
+    public boolean isNotMarked() {
+        return !marked;
+    }
+
+    public void setMarked(boolean marked) {
+        this.marked = marked;
+    }
+
+    public Arc getFatherArc() {
+        return fatherArc;
+    }
+
+    public void setFatherArc(Arc fatherArc) {
+        this.fatherArc = fatherArc;
+    }
+
+    @Override
+    public int compareTo(Label label) {
+        return this.cost - label.getCost() > 0 ? 1 : -1;
+    }
+}