Efficient routing algorithms for multiple vehicles with no explicit communications

IEEE Transactions on Automatic Control

Volumn 54, Issue 10, 2009, Pages 2302-2317

  Arsie, Alessandro ^a   Savla, Ketan ^b   Frazzoli, Emilio ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Dynamic vehicle routing; Facility location; Multi agent systems; Spatial games

Indexed keywords

CONTROL STRATEGIES; DYNAMIC VEHICLE ROUTING; DYNAMIC VEHICLE ROUTING PROBLEMS; EFFICIENT ROUTING; EXPECTED TIME; EXPECTED VALUES; EXPLICIT COMMUNICATION; FACILITY LOCATION; INTER-AGENT COMMUNICATIONS; MOTION COORDINATION; PURE NASH EQUILIBRIUM; RATE OF CONVERGENCE; SIMULATION RESULT; SPATIAL GAMES; STEADY STATE; STEADY STATE PERFORMANCE; STOCHASTIC PROCESS; TARGET LOCATION; TARGET POINT; TIME SPENT;

AD HOC NETWORKS; FACILITIES; GAME THEORY; MOBILE AGENTS; MULTI AGENT SYSTEMS; RANDOM PROCESSES; TARGETS; VEHICLE ROUTING; VEHICLES; WIRELESS TELECOMMUNICATION SYSTEMS;

ROUTING ALGORITHMS;

EID: 70350323725     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2028954     Document Type: Article

References (37)

1. A. Arsie and E. Frazzoli, "Efficient routing of multiple vehicles with no explicit communications," Int. J. Robust Nonlin. Control, vol. 18, pp. 154-164, Jan. 2007.
2. R. W. Beard, T. W. McLain, M. A. Goodrich, and E. P. Anderson, "Coordinated target assignment and intercept for unmanned air vehicles," IEEE Trans. Robot. Autom., vol. 18, no. 6, pp. 911-922, Jun. 2002.
3. A. Richards, J. Bellingham, M. Tillerson, and J. How, "Coordination and control of multiple UAVs," in Proc. AIAA Conf. Guid., Navig., Control, Monterey, CA, 2002, pp. 1-4 [Online]. Available: http:// acl.mit.edu/papers/Richards39451.pdf
4. C. Schumacher, P. R. Chandler, S. J. Rasmussen, and D.Walker, "Task allocation for wide area search munitions with variable path length," in Proc. Amer. Control Conf., Denver, CO, 2003, pp. 3472-3477.
5. M. Earl and R. D'Andrea, "Iterative MILP methods for vehicle control problems," IEEE Trans. Robotics, vol. 21, no. 12, pp. 1158-1167, Dec. 2005.
6. W. Li and C. Cassandras, "A cooperative receding horizon controller for multivehicle uncertain environments," IEEE Trans. Autom. Control, vol. 51, no. 2, pp. 242-257, Feb. 2006.
7. R. Murphey, "Target-based weapon target assignment problems," in Nonlinear Assignment Problems: Algorithms and Applications, P. Pardalos and L. Pitsoulis, Eds. Norwell, MA: Kluwer, 1999, pp. 39-53.
8. G. Arslan, J. R. Marden, and J. S. Shamma, "Autonomous vehicle-target assignment: A game theoretical formulation," ASME J. Dyn. Syst., Meas. Control, vol. 129, no. 5, pp. 584-596, 2007.
9. M. Tanemura and H. Hasegawa, "Geometrical models of territory I: Models for synchronous and asynchronous settlement of territories," J. Theor. Biol., vol. 82, pp. 477-496, 1980.
10. H. Psaraftis, "Dynamic vehicle routing problems," in Vehicle Routing: Methods and Studies, B. Golden and A. Assad, Eds. New York: Elsevier, 1988.
11. D. J. Bertsimas and G. J. van Ryzin, "A stochastic and dynamic vehicle routing problem in the Euclidean plane," Oper. Res., vol. 39, pp. 601-615, 1991.
12. E. Frazzoli and F. Bullo, "Decentralized algorithms for vehicle routing in a stochastic time-varying environment," in Proc. IEEE Conf. Decision Control, Paradise Island, Bahamas, Dec. 2004, pp. 3357-3363.
13. Y. Liu, J. Cruz, and A. G. Sparks, "Coordinated networked uninhabited aer vehicles for persistent area denial," in Proc. IEEE Conf. Decision Control, Paradise Island, Bahamas, 2004, pp. 3351-3356.
14. J. Cortés, S. Martínez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Trans. Robot. Autom., vol. 20, no. 2, pp. 243-255, Apr. 2004.
15. B. Moore and K. Passino, "Distributed balancing of AAVs for uniform surveillance coverage," in Proc. IEEE Conf. Decision Control, 2005, pp. 7060-7065.
16. A. Arsie, J. J. Enright, and E. Frazzoli, "On the value of information in dynamic multiple-vehicle routing problems," in Cooperative Control of Distributed Multi-Agent Systems, J. Shamma, Ed. New York: Wiley, 2008, pp. 139-176.
17. J. Little, "A proof of the queueing formula Ι = λω," Oper. Res. vol. 9, pp. 383-387, 1961.
18. D. J. Bertsimas and G. J. van Ryzin, "Stochastic and dynamic vehicle routing in the Euclidean plane with multiple capacitated vehicles," Oper. Res., vol. 41, no. 1, pp. 60-76, 1993.
19. D. J. Bertsimas and G. J. van Ryzin, "Stochastic and dynamic vehicle routing with general interarrival and service time distributions," Adv. Appl. Prob., vol. 25, pp. 947-978, 1993.
20. S. P. Lloyd, "Least squares quantization in PCM," IEEE Trans. Inform. Theory, vol. IT-28, no. 2, pp. 129-137, Mar. 1982.
21. J. Mac Queen, L. M. LeCam and J. Neyman, Eds., "Some methods for the classification and analysis of multivariate observations," in Proc. 5th Berkeley Symp. Math. Stat. Prob, 1967, pp. 281-297.
22. Z. Drezner, "Facility location: A survey of applications and methods," in Springer Series in Operations Research. New York: Springer Verlag, 1995.
23. P. K. Agarwal and M. Sharir, "Efficient algorithms for geometric optimization," ACM Comput. Surveys, vol. 30, no. 4, pp. 412-458, 1998.
24. R. Chandrasekaran and A. Tamir, "Algebraic optimization: The Fermat-Weber location problem," Mathematical Programming, vol. 46, pp. 219-224, 1990.
25. G. Wesolowsky, "The Weber problem: History and perspectives," Location Sci., vol. 1, pp. 5-23, 1993.
26. S. P. Fekete, J. S. B. Mitchell, and K. Weinbrecht, "On the continuous Weber and k-median problems," in Proc. 16th Annu. Symp. Computat. Geom., Hong Kong, 2000, pp. 70-79.
27. P. Carmi, S. Har-Peled, and M. Katz, "On the Fermat-Weber center of a convex object," Computat. Geom., vol. 32, no. 3, pp. 188-195, 2005.
28. N. L. Carothers, Real Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1999.
29. M. Sabin and R. Gray, "Global convergence and empirical consistency of the generalized Lloyd algorithm," IEEE Trans. Inform. Theory, vol. 32, pp. 148-155, Mar. 1986.
30. J. Shamma and G. Arslan, "Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria," IEEE Trans. Automat. Control, vol. 50, no. 3, pp. 312-327, Mar. 2005.
31. D. Fudenberg and J. Tirole, Game Theory. Cambridge, MA: MIT Press, 1991.
32. R. W. Rosenthal, "A class of games possessing pure-strategy nash equilibria," Int. J. Game Theory, vol. 2, pp. 65-67, 1973.
33. D. Monderer and L. Shapley, "Potential games," Games Econ. Beh., vol. 14, pp. 124-143, 1996.
34. D.Wolpert and K. Tumer, Collectives and the Design of Complex Systems, ch. A Survey of Collectives. New York: Springer Verlag, 2004, p. 142.
35. J. Enright, K. Savla, and E. Frazzoli, "Coverage control for teams of nonholonomic agents," in Proc. IEEE Conf. Decision Control, 2008, pp. 4250-4256.
36. K. Savla and E. Frazzoli, "On endogenous reconfiguration for mobile robotic networks," in Proc. Workshop Algorithmic Found. Robot. (WAFR), Guanajuato, Mexico, Dec. 2008.
37. L. A. Dugatkin and H. K. Reeve, Game Theory and Animal Behavior. Oxford, U.K.: Oxford Univ. Press, 2000.