ABSTRACT
The evacuation of mobile robots is an interesting emerging application in distributed computing. This paper considers the fundamental problem of how to evacuate two robots from a unit disk. The robots, initially located at the center of the disk, need to exit the disk through two unknown exits, at known distance d from each other, located at the perimeter of the disk. The robots can coordinate when exploring the disk, using wireless communication. The objective is to minimize the evacuation time, i.e., the time until the last robot exits the disk. We consider two different model variants, where exits can either be labeled or unlabeled. We complement our analysis with simulations.
- Rudolf Ahlswede and Ingo Wegener. 1987. Search problems. Wiley-Interscience. Google ScholarDigital Library
- Anthony Bonato and Richard J Nowakowski. 2011. The game of cops and robbers on graphs. Vol. 61. American Mathematical Society Providence.Google Scholar
- Sebastian Brandt, Felix Laufenberg, Yuezhou Lv, David Stolz, and Roger Wattenhofer. 2017. Collaboration Without Communication: Evacuating Two Robots from a Disk. In Algorithms and Complexity - 10th International Conference, CIAC 2017, Athens, Greece, May 24-26, 2017, Proceedings. 104--115.Google Scholar
- Timothy H. Chung, Geoffrey A. Hollinger, and Volkan Isler. 2011. Search and pursuit-evasion in mobile robotics. Autonomous Robots 31, 4 (2011), 299. Google ScholarDigital Library
- Jurek Czyzowicz, Stefan Dobrev, Konstantinos Georgiou, Evangelos Kranakis, and Fraser MacQuarrie. 2016. Evacuating two robots from multiple unknown exits in a circle. In Proceedings of the 17th International Conference on Distributed Computing and Networking, Singapore, January 4-7, 2016. 28:1--28:8. Google ScholarDigital Library
- Jurek Czyzowicz, Leszek Gasieniec, Thomas Gorry, Evangelos Kranakis, Russell Martin, and Dominik Pajak. 2014. Evacuating Robots via Unknown Exit in a Disk. In Distributed Computing -28th International Symposium, DISC 2014, Austin, TX, USA, October 12-15, 2014. Proceedings. 122--136.Google Scholar
- Jurek Czyzowicz, Konstantinos Georgiou, Evangelos Kranakis, Lata Narayanan, Jaroslav Opatrny, and Birgit Vogtenhuber. 2015. Evacuating Robots from a Disk Using Face-to-Face Communication. CoRR abs/1501.04985 (2015). Google ScholarDigital Library
- Ioannis Lamprou, Russell Martin, and Sven Schewe. 2016. Fast Two-Robot Disk Evacuation with Wireless Communication. In Distributed Computing - 30th International Symposium, DISC 2016, Paris, France, September 27-29, 2016. Proceedings. 1--15.Google Scholar
- Paul J Nahin. 2012. Chases and escapes: the mathematics of pursuit and evasion. Princeton University Press.Google Scholar
- Debasish Pattanayak, H. Ramesh, Partha Sarathi Mandal, and Stefan Schmid. 2017. Evacuating Two Robots from Two Unknown Exits on the Perimeter of a Disk. CoRR abs/1708.03792 (2017). http://arxiv.org/abs/1708.03792Google Scholar
- Lawrence D Stone. 1976. Theory of optimal search. Vol. 118. Elsevier.Google Scholar
Index Terms
- Evacuating Two Robots from Two Unknown Exits on the Perimeter of a Disk with Wireless Communication
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