A* algorithm: The best first search algorithm that was just presented is a simplification an algorithm called A* algorithm which was first presented by HART.
Step 1: put the initial node on a list start
Step 2: if (start is empty) or (start = goal) terminate search.
Step 3: remove the first node from the start call this node a
Step 4: if (a= goal) terminate search with success.
Step 5: else if node has successors generate all of them estimate the fitness number of the successors by totaling the evaluation function value and the cost function value and sort the fitness number.
Step 6: name the new list as start 1.
Step 7: replace start with start 1.
Step 8: go to step 2.