diff --git a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
index fd172f0..8678668 100644
--- a/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
+++ b/be-graphes-algos/src/main/java/org/insa/graphs/algorithm/shortestpath/AStarAlgorithm.java
@@ -1,9 +1,33 @@
 package org.insa.graphs.algorithm.shortestpath;
 
+import org.insa.graphs.algorithm.AbstractInputData.Mode;
+import org.insa.graphs.model.LabelStar;
+import org.insa.graphs.model.Node;
+
 public class AStarAlgorithm extends DijkstraAlgorithm {
 
     public AStarAlgorithm(ShortestPathData data) {
         super(data);
     }
+    
+    @Override
+    protected void initAlgo() {
+    	
+        // Dijkstra guidée init
+        this.labels = new LabelStar[data.getGraph().size()];
+        
+        if(data.getMode() == Mode.TIME) {
+        	//time based, need to set LabelStar with maxspeed
+            for(Node node : data.getGraph().getNodes()) {
+            	labels[node.getId()] = new LabelStar(node, getInputData().getDestination(), data.getGraph().getGraphInformation().getMaximumSpeed());
+            }
+        }
+        else {
+            for(Node node : data.getGraph().getNodes()) {
+            	labels[node.getId()] = new LabelStar(node, getInputData().getDestination());
+            }
+        }
+
+    }
 
 }
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 99b7b06..dd17fa1 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
@@ -12,16 +12,27 @@ import org.insa.graphs.model.Node;
 import org.insa.graphs.model.Path;
 
 public class DijkstraAlgorithm extends ShortestPathAlgorithm {
+	
+	
+	protected Label[] labels;
 
     public DijkstraAlgorithm(ShortestPathData data) {
         super(data);
     }
 
+    protected void initAlgo() {
+        // Dijkstra Init
+        this.labels = new Label[data.getGraph().size()];
+        for(Node node : data.getGraph().getNodes()) {
+        	labels[node.getId()] = new Label(node);
+        }
+    }
+    
     @Override
     protected ShortestPathSolution doRun() {
         final ShortestPathData data = getInputData();
         
-        int numberOfNodes =  data.getGraph().size();
+        initAlgo();
         
         double shortestCostToDestination = Double.POSITIVE_INFINITY;
         
@@ -29,13 +40,6 @@ public class DijkstraAlgorithm extends ShortestPathAlgorithm {
         // useful
         double lastMarkedNodeCost        = 0; 
         
-        // Dijkstra Init
-        Label[] labels = new Label[numberOfNodes];
-        
-        
-        for(Node node : data.getGraph().getNodes()) {
-        	labels[node.getId()] = new Label(node);
-        }
         
         // Let's set the origin cost at 0
         labels[data.getOrigin().getId()].setNewCost(null, 0d);
diff --git a/be-graphes-model/src/main/java/org/insa/graphs/model/Label.java b/be-graphes-model/src/main/java/org/insa/graphs/model/Label.java
index 6163c4b..f82aef4 100644
--- a/be-graphes-model/src/main/java/org/insa/graphs/model/Label.java
+++ b/be-graphes-model/src/main/java/org/insa/graphs/model/Label.java
@@ -2,10 +2,10 @@ package org.insa.graphs.model;
 
 public class Label implements Comparable<Label>{
 
-		private Node current;
-		private boolean marked;
-		private double cost;
-		private Arc father;
+		protected Node current;
+		protected boolean marked;
+		protected double cost;
+		protected Arc father;
 		
 		
 		public Label(Node current) {
@@ -41,9 +41,14 @@ public class Label implements Comparable<Label>{
 			return this.father;
 		}
 
-		@Override
+		public double getMinCostToDestination() {
+			return 0; // not used in Label but only in LabelStar
+		}
+		
+		// We calculate the cost to reach destination only if needed
 		public int compareTo(Label arg0) {
-			return Double.compare(this.cost, arg0.cost);
+			//In this case, the comparison is based on cost to reach the node + min cost to reach dest
+			return Double.compare(this.cost + getMinCostToDestination(), arg0.cost + arg0.getMinCostToDestination());
 		}
 	
 }
diff --git a/be-graphes-model/src/main/java/org/insa/graphs/model/LabelStar.java b/be-graphes-model/src/main/java/org/insa/graphs/model/LabelStar.java
new file mode 100644
index 0000000..bb749ae
--- /dev/null
+++ b/be-graphes-model/src/main/java/org/insa/graphs/model/LabelStar.java
@@ -0,0 +1,39 @@
+package org.insa.graphs.model;
+
+public class LabelStar extends Label {
+
+	protected double minCostToDestination = -1;
+	protected Node destination;
+	protected double maxSpeedPossible = -1;
+	
+	public LabelStar(Node current, Node destination) {
+		super(current);
+		this.destination = destination;
+	}	
+	
+	public LabelStar(Node current, Node destination, double maxSpeed) {
+		super(current);
+		this.destination = destination;
+		this.maxSpeedPossible = maxSpeed;
+	}
+
+	public double getMinCostToDestination() {
+		if(this.minCostToDestination < 0) {
+			//need to calculate
+			
+			if(this.maxSpeedPossible > 0) {
+				//if maxspeedpossible is initialized, then we use time shortest
+				this.minCostToDestination = this.current.getPoint().distanceTo(this.destination.getPoint()) / this.maxSpeedPossible;
+			}
+			else {
+				//if maxspeedpossible is not initialized, then we use shortest path
+				this.minCostToDestination = this.current.getPoint().distanceTo(this.destination.getPoint());
+
+			}
+			
+			
+		}
+		return this.minCostToDestination;
+	}
+	
+}