The Design and Analysis of an Efficient Local Algorithm for Coverage and Exploration Based on Sensor Network Deployment

We present the design and theoretical analysis of a novel algorithm termed least recently visited (LRV). LRV efficiently and simultaneously solves the problems of coverage, exploration, and sensor network deployment. The basic premise behind the algorithm is that a robot carries network nodes as a payload, and in the process of moving around, emplaces the nodes into the environment based on certain local criteria. In turn, the nodes emit navigation directions for the robot as it goes by. Nodes recommend directions least recently visited by the robot, hence, the name LRV. We formally establish the following two properties: 1) LRV is complete on graphs and 2) LRV is optimal on trees. We present experimental conjectures for LRV on regular square and cube lattice graphs and compare its performance empirically to other graph exploration algorithms. We study the effects of the order of the exploration and show on a square lattice that with an appropriately chosen order, LRV performs optimally. Finally, we discuss the implementation of LRV in simulation and in real hardware.

[1]  Gaurav S. Sukhatme,et al.  Call and response: experiments in sampling the environment , 2004, SenSys '04.

[2]  Krishnendu Chakrabarty,et al.  Sensor placement for effective coverage and surveillance in distributed sensor networks , 2003, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003..

[3]  Gaurav S. Sukhatme,et al.  The Analysis of an Efficient Algorithm for Robot Coverage and Exploration based on Sensor Network Deployment , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[4]  L. Asz.  Random Walks on Graphs: a Survey , 2022 .

[5]  Reid G. Simmons,et al.  Easy and Hard Testbeds for Real-Time Search Algorithms , 1996, AAAI/IAAI, Vol. 1.

[6]  Gaurav S. Sukhatme,et al.  Sensor coverage using mobile robots and stationary nodes , 2002, SPIE ITCom.

[7]  Gaurav S. Sukhatme,et al.  Whistling in the dark: cooperative trail following in uncertain localization space , 2000, AGENTS '00.

[8]  Israel A. Wagner,et al.  Distributed covering by ant-robots using evaporating traces , 1999, IEEE Trans. Robotics Autom..

[9]  Michael Jenkin,et al.  Robotic exploration as graph construction , 1991, IEEE Trans. Robotics Autom..

[10]  Sven Koenig,et al.  Trail-laying robots for robust terrain coverage , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[11]  Paolo Pirjanian,et al.  Behavior Coordination Mechanisms - State-of-the-art , 1999 .

[12]  Gaurav S. Sukhatme,et al.  SENSOR NETWORK-MEDIATED MULTI-ROBOT TASK ALLOCATION , 2005 .

[13]  Gaurav S. Sukhatme,et al.  Efficient exploration without localization , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[14]  Alexander Zelinsky,et al.  A mobile robot exploration algorithm , 1992, IEEE Trans. Robotics Autom..

[15]  Maja J. Mataric,et al.  Behaviour-based control: examples from navigation, learning, and group behaviour , 1997, J. Exp. Theor. Artif. Intell..

[16]  Gaurav S. Sukhatme,et al.  Coverage, Exploration and Deployment by a Mobile Robot and Communication Network , 2003, Telecommun. Syst..

[17]  Howie Choset,et al.  Coverage for robotics – A survey of recent results , 2001, Annals of Mathematics and Artificial Intelligence.

[18]  Gaurav S. Sukhatme,et al.  Spreading Out: A Local Approach to Multi-robot Coverage , 2002, DARS.

[19]  Richard J. Lipton,et al.  Random walks, universal traversal sequences, and the complexity of maze problems , 1979, 20th Annual Symposium on Foundations of Computer Science (sfcs 1979).

[20]  J. O'Rourke.  Art gallery theorems and algorithms , 1987 .

[21]  Gaurav S. Sukhatme,et al.  LOST: localization-space trails for robot teams , 2002, IEEE Trans. Robotics Autom..

[22]  Brian Yamauchi,et al.  A frontier-based approach for autonomous exploration , 1997, Proceedings 1997 IEEE International Symposium on Computational Intelligence in Robotics and Automation CIRA'97. 'Towards New Computational Principles for Robotics and Automation'.

[23]  Gaurav S. Sukhatme,et al.  Mobile Sensor Network Deployment using Potential Fields : A Distributed , Scalable Solution to the Area Coverage Problem , 2002 .

[24]  Israel A. Wagner,et al.  MAC Versus PC: Determinism and Randomness as Complementary Approaches to Robotic Exploration of Continuous Unknown Domains , 2000, Int. J. Robotics Res..

[25]  Douglas W. Gage,et al.  Command Control for Many-Robot Systems , 1992 .

[26]  Israel A. Wagner,et al.  Efficiently searching a graph by a smell-oriented vertex process , 2004, Annals of Mathematics and Artificial Intelligence.

[27]  Michael A. Bender,et al.  The power of a pebble: exploring and mapping directed graphs , 1998, STOC '98.

[28]  Gaurav S. Sukhatme,et al.  Symbiosis: cooperative algorithms for mobile robots and a sensor network , 2005 .

[29]  Maja J. Matari,et al.  Behavior-based Control: Examples from Navigation, Learning, and Group Behavior , 1997 .

[30]  Gaurav S. Sukhatme,et al.  Mobile robot navigation using a sensor network , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[31]  Boleslaw K. Szymanski,et al.  Efficient and inefficient ant coverage methods , 2001, Annals of Mathematics and Artificial Intelligence.

[32]  Gaurav S. Sukhatme,et al.  Most valuable player: a robot device server for distributed control , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[33]  Miodrag Potkonjak,et al.  Coverage problems in wireless ad-hoc sensor networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[34]  Wolfram Burgard,et al.  Collaborative multi-robot exploration , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[35]  Parameswaran Ramanathan,et al.  Sensor deployment strategy for target detection , 2002, WSNA '02.

[36]  Steven A. Borbash,et al.  Birthday protocols for low energy deployment and flexible neighbor discovery in ad hoc wireless networks , 2001, MobiHoc '01.