Abstract
In this paper we address the problem of planning reliable landmark-based robot navigation strategies in the presence of significant sensor uncertainty. The navigation environments are modeled with directed weighted graphs in which edges can be traversed with given probabilities. To construct robust and efficient navigation plans, we compute expected shortest paths in such graphs. We formulate the expected shortest paths problem as a Markov decision process and provide two algorithms for its solution. We demonstrate the practicality of our approach using an extensive experimental analysis using graphs with varying sizes and parameters.
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References
C. Becker, J. Salas, K. Tokusei, and J.-C. Latombe. Reliable navigation using landmarks. In Proceedings of IEEE International Conference on Robotics and Automation, pages 401–406, June 1995.
D. M. Blei and L. P. Kaelbling. Shortest paths in a dynamic uncertain domain. In Proceedings of the IJCAI Workshop on Adaptive Spatial Representations of Dynamic Environments, 1999.
A. Briggs, D. Scharstein, and S. Abbott. Reliable mobile robot navigation from unreliable visual cues. In Donald, Lynch, and Rus, editors, Algorithmic and Computational Robotics: New Directions, A. K. Peters, pages 349–362, 2001.
A. Briggs, D. Scharstein, D. Braziunas, C. Dima, and P. Wall. Mobile robot navigation using self-similar landmarks. In Proceedings of the IEEE International Conference on Robotics and Automation (ICRA 2000), pages 1428–1434, April 2000.
C. Fennema, A. Hanson, E. Riseman, J. R. Beveride, and R. Kumar. Model-directed mobile robot navigation. IEEE Transactions on Systems, Man, and Cybernetics, 20 (6): 1352–1369, 1990.
L. Kavraki and J.-C. Latombe. Randomized preprocessing of configuration space for fast path planning. In Proceedings of IEEE International Conference on Robotics and Automation, pages 2138–2145, May 1994.
A. Lazanas and J.-C. Latombe. Landmark-based robot navigation. Algorithmica 13(5): 472–501, May 1995.
C. Lin and R. Tummala. Mobile robot navigation using artificial landmarks. Journal of Robotic Systems, 14 (2): 93–106, 1997.
M. Mani, A. Zelikovsky, G. Bhatia, and A. Kahng. Traversing probabilistic graphs. Technical Report 990010, UCLA, 1999.
B. Nickerson, P. Jasiobedzki, D. Wilkes, M. Jenkin, E. Milios, J. Tsotsos, A. Jepson, and O. N. Bains. The ARK project: Autonomous mobile robots for known industrial environments. Robotics and Autonomous Systems, 25: 83–104, 1998.
M. H. Overmars and P. Svestka. A probabilistic learning approach to motion planning. In Goldberg, Halperin, Latombe, and Wilson, editors, 1994 Workshop on the Algorithmic Foundations of Robotics, A. K. Peters, pages 19–37, 1995.
C. Owen and U. Nehmzow. Landmark-based navigation for a mobile robot. In Proceedings of Simulation of Adaptive Behaviour. MIT Press, 1998.
C. H. Papadimitriou and M. Yannakakis. Shortest paths without a map. Theoretical Computer Science, 84: 127–150, 1991.
J. S. Provan and M. O. Ball. The complexity of counting cuts and of computing the probability that a graph is connected. SI AM Journal of Computing, 12 (4), November 1983.
M. Puterman. Markov Decision Processes: Discrete Stochastic Dynamic Programming. John Wiley & Sons, New York, NY, 1994.
D. Scharstein and A. Briggs. Real-time recognition of self-similar landmarks. Image and Vision Computing, 19 (ll): 763–772, September 2001.
R. Sim and G. Dudek. Mobile robot localization from learned landmarks. In Proceedings of IEEE/RSJ Conference on Intelligent Robots and Systems (IROS), Victoria, BC, October 1998.
R. Simmons, J. Fernandez, R. Goodwin, S. Koenig, and J. O’Sullivan. Xavier: An autonomous mobile robot on the web. IEEE Robotics and Automation Magazine, 1999.
R. Simmons and S. Koenig. Probabilistic navigation in partially observable environments. In Proceedings of the International Joint Conference on Artificial Intelligence, pages 1080–1087, 1995.
C.J. Taylor and D. J. Kriegman. Vision-based motion planning and exploration algorithms for mobile robots. In Goldberg, Halperin, Latombe, and Wilson, editors, 1994 Workshop on the Algorithmic Foundations of Robotics, A. K. Peters, pages 69–83, 1995.
S. Thrun, M. Beetz, M. Bennewitz, W. Burgaxd, A. B. Cremers, F. Dellaert, D. Fox, D. Hahnel, C. Rosenberg, N. Roy, J. Schulte, and D. Schulz. Probabilistic algorithms and the interactive museum tour-guide robot Minerva. International Journal of Robotics Research, 19 (11), 2000.
L. G. Valiant. The complexity of enumeration and reliability problems. SIAM Journal of Computing, 8 (3), August 1979.
F. Zanichelli. Topological maps and robust localization for autonomous navigation. In Proceedings of the International Joint Conference on Artificial Intelligence, Workshop ROB-2, 1999.
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Briggs, A.J., Detweiler, C., Scharstein, D., Vandenberg-Rodes, A. (2004). Expected Shortest Paths for Landmark-Based Robot Navigation. In: Boissonnat, JD., Burdick, J., Goldberg, K., Hutchinson, S. (eds) Algorithmic Foundations of Robotics V. Springer Tracts in Advanced Robotics, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45058-0_23
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DOI: https://doi.org/10.1007/978-3-540-45058-0_23
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