Publication 2002 Issue No. 6 - November/December Abstract - Differential A*
Differential A*
November/December 2002 (vol. 14 no. 6)
pp. 1218-1229
 ASCII Text x Karen I. Trovato, Leo Dorst, "Differential A*," IEEE Transactions on Knowledge and Data Engineering, vol. 14, no. 6, pp. 1218-1229, November/December, 2002.
 BibTex x @article{ 10.1109/TKDE.2002.1047763,author = {Karen I. Trovato and Leo Dorst},title = {Differential A*},journal ={IEEE Transactions on Knowledge and Data Engineering},volume = {14},number = {6},issn = {1041-4347},year = {2002},pages = {1218-1229},doi = {http://doi.ieeecomputersociety.org/10.1109/TKDE.2002.1047763},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Knowledge and Data EngineeringTI - Differential A*IS - 6SN - 1041-4347SP1218EP1229EPD - 1218-1229A1 - Karen I. Trovato, A1 - Leo Dorst, PY - 2002KW - Graph searchKW - uniform cost searchKW - a-star searchKW - A* searchKW - optimal navigationKW - incremental graph changesKW - dynamic schedulingKW - dynamic routingKW - robot path planning.VL - 14JA - IEEE Transactions on Knowledge and Data EngineeringER -

Abstract—A* graph search effectively computes the optimal solution path from start nodes to goal nodes in a graph, using a heuristic function. In some applications, the graph may change slightly in the course of its use and the solution path then needs to be updated. Very often, the new solution will differ only slightly from the old. Rather than perform the full A* on the new graph, we compute the necessary OPEN nodes from which the revised solution can be obtained by A*. In this "Differential A*" algorithm, the graph topology, transition costs, or start/goals may change simultaneously. We develop the algorithm and discuss when it gives an improvement over simply reapplying A*. We briefly discuss an application to robot path planning in configuration space, where such graph changes naturally arise.

[1] L. Dorst and K. I. Trovato, “Optimal Path Planning by Cost Wave Propagation in Metric Configuration Space,” SPIE Advances in Intelligent Robotics Systems 1007, pp. 186-197, Nov. 1988.
[2] D.E. Knuth, “A Generalization of Dijkstra's Algorithm,” Information Processing Letters, vol. 6, no. 1, pp. 1-5, 1977.
[3] T. Lozano-Perez and M. Wesley, "An Algorithm for Planning Collision-Free Paths among Polyhedral Obstacles," Comm. ACM, vol. 22, Oct. 1979, pp. 560-570.
[4] W. Newman, “High-Speed Robot Control in Complex Environments,” PhD thesis, Massechusetts Inst. of Tech nology, Oct. 1987.
[5] N.J. Nilsson, Principles of Artificial Intelligence. Morgan Kaufmann, 1980.
[6] N.J. Nilsson, Principles of Artificial Intelligence. Morgan Kaufmann, 1980.
[7] J. Pearl, Heuristics: Intelligent Search Strategies for Computer Problem Solving, Addison-Wesley, Reading, Mass., 1984.
[8] G. Ramalingam and T. Reps, “An Incremental Algorithm for a Generalization of the Shortest-Path Problem,” Technical Report 1087, Univ. of Wisconsin, May 1992.
[9] A. Stentz, “The Focussed D* Algorithm for Real-Time Replanning,” Proc. Int'l Joint Conf. Artificial Intelligence, Aug. 1995.
[10] K.I. Trovato, “Differential$\big. A^*\bigr.$: An Adaptive Search Method Illustrated with Robot Path Planning for Moving Obstacles and Goals and an Uncertain Environment,” Int'l J. Pattern Recognition and Artificial Intelligence, vol. 4, no. 2, 1990.
[11] K.I. Trovato and L. Dorst, Differential Budding: Method and Apparatus for Path Planning with Moving Obstacles and Goals, US Patent 4,949,277, 1990.
[12] K. I. Trovato, “Autonomous Vehicle Maneuvering,” Proc. SPIE Advances in Intelligent Robotic Systems Conf., vol. 1613, Nov. 1991.
[13] K.I. Trovato, “General Planning Method for Machine Coordination and Rendezvous,” J. Circuits, Systems, and Computers—Automotive Electronics, vol. 4, no. 4, Dec. 1994
[14] K.I. Trovato, “$\big. A^*\bigr.$Planning in Discrete Configuration Spaces of Autonomous Systems,” PhD thesis, Univ. of Amsterdam, 1996.

Index Terms:
Graph search, uniform cost search, a-star search, A* search, optimal navigation, incremental graph changes, dynamic scheduling, dynamic routing, robot path planning.
Citation:
Karen I. Trovato, Leo Dorst, "Differential A*," IEEE Transactions on Knowledge and Data Engineering, vol. 14, no. 6, pp. 1218-1229, Nov.-Dec. 2002, doi:10.1109/TKDE.2002.1047763