A Note on the Connection Between the Primal-Dual and the A* Algorithm

Xugang Ye, Shih-Ping Han, Anhua Lin
2010 International Journal of Operations Research and Information Systems  
The primal-dual algorithm for linear programming is very effective for solving network flow problems. For the method to work, an initial feasible solution to the dual is required. In this paper, we show that, for the shortest path problem in a positively weighted graph equipped with a consistent heuristic function, the primal-dual algorithm will become the well-known A* algorithm if a special initial feasible solution to the dual is chosen. We also show how the improvements of the dual objective are related to the A* iterations.
doi:10.4018/joris.2010101305 fatcat:6kwsq4lpc5fothm6bkbbi6q5yy