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Chauffeuring a Crashed Robot from a Disk

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Algorithms for Sensor Systems (ALGOSENSORS 2019)

Abstract

Evacuation of robots from a disk has recently attained a lot of attention. We visit the problem from the perspective of fault-tolerance. We consider two robots trying to evacuate from a disk via a single hidden exit on the perimeter of the disk. The robots communicate wirelessly. The robots are susceptible to crash faults, after which they stop moving and communicating. We design the algorithms for tolerating one fault. The objective is to minimize the worst-case time required to evacuate both the robots from the disk. When the non-faulty robot chauffeurs the crashed robot, it takes \(\alpha \ge 1\) amount of time to travel unit distance. With this, we also provide a lower bound for the evacuation time. Further, we evaluate the worst-case of the algorithms for different values of \(\alpha \) and the crash time.

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References

  1. Brandt, S., Foerster, K., Richner, B., Wattenhofer, R.: Wireless evacuation on m rays with k searchers. In: SIROCCO, Porquerolles, France, pp. 140–157 (2017). https://doi.org/10.1007/978-3-319-72050-0_9

    Chapter  Google Scholar 

  2. Brandt, S., Laufenberg, F., Lv, Y., Stolz, D., Wattenhofer, R.: Collaboration without communication: Evacuating two robots from a disk. In: CIAC, Athens, pp. 104–115 (2017). https://doi.org/10.1007/978-3-319-57586-5_10

    Google Scholar 

  3. Chuangpishit, H., Georgiou, K., Sharma, P.: Average case - worst case tradeoffs for evacuating 2 robots from the disk in the face-to-face model. In: Algorithms for Sensor Systems - 14th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2018, Helsinki, Finland, August 23–24, 2018, Revised Selected Papers, pp. 62–82 (2018). https://doi.org/10.1007/978-3-030-14094-6_5

    Chapter  Google Scholar 

  4. Chuangpishit, H., Mehrabi, S., Narayanan, L., Opatrny, J.: Evacuating an equilateral triangle in the face-to-face model. In: OPODIS, Lisbon, Portugal, pp. 11:1–11:16 (2017). https://doi.org/10.4230/LIPIcs.OPODIS.2017.11

  5. Czyzowicz, J., Gasieniec, L., Gorry, T., Kranakis, E., Martin, R., Pajak, D.: Evacuating robots via unknown exit in a disk. In: DISC, USA, 12–15 October 2014, pp. 122–136 (2014). https://doi.org/10.1007/978-3-662-45174-8_9

    MATH  Google Scholar 

  6. Czyzowicz, J., et al.: Evacuation from a disc in the presence of a faulty robot. In: SIROCCO, Porquerolles, France, pp. 158–173 (2017). https://doi.org/10.1007/978-3-319-72050-0_10

    Chapter  Google Scholar 

  7. Czyzowicz, J., et al.: God save the queen. In: 9th International Conference on Fun with Algorithms, FUN 2018, 13–15 June 2018, La Maddalena, Italy, pp. 16:1–16:20 (2018). https://doi.org/10.4230/LIPIcs.FUN.2018.16

  8. Czyzowicz, J., et al.: Priority evacuation from a disk using mobile robots - (extended abstract). In: Structural Information and Communication Complexity - 25th International Colloquium, SIROCCO 2018, Ma’ale HaHamisha, Israel, 18–21 June 2018, Revised Selected Papers, pp. 392–407 (2018). https://doi.org/10.1007/978-3-030-01325-7_32

    Chapter  Google Scholar 

  9. Czyzowicz, J., et al.: Search on a line by byzantine robots. In: ISAAC, Sydney, Australia, pp. 27:1–27:12 (2016). https://doi.org/10.4230/LIPIcs.ISAAC.2016.27

  10. Czyzowicz, J., Georgiou, K., Kranakis, E., Narayanan, L., Opatrny, J., Vogtenhuber, B.: Evacuating robots from a disk using face-to-face communication (extended abstract). In: CIAC, Paris, France, pp. 140–152 (2015). https://doi.org/10.1007/978-3-319-18173-8_10

    Google Scholar 

  11. Czyzowicz, J., Kranakis, E., Krizanc, D., Narayanan, L., Opatrny, J.: Search on a line with faulty robots. In: PODC, Chicago, IL, USA, pp. 405–414 (2016). https://doi.org/10.1145/2933057.2933102

  12. Disser, Y., Schmitt, S.: Evacuating two robots from a disk: a second cut. In: Proceedings of the Structural Information and Communication Complexity - 26th International Colloquium, SIROCCO 2019, L’Aquila, Italy, 1–4 July 2019, pp. 200–214 (2019). https://doi.org/10.1007/978-3-030-24922-9_14

    Chapter  Google Scholar 

  13. Kupavskii, A., Welzl, E.: Lower bounds for searching robots, some faulty. In: Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing, PODC 2018, Egham, United Kingdom, 23–27 July 2018, pp. 447–453 (2018). https://dl.acm.org/citation.cfm?id=3212745

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Correspondence to Debasish Pattanayak .

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Pattanayak, D., Ramesh, H., Mandal, P.S. (2019). Chauffeuring a Crashed Robot from a Disk. In: Dressler, F., Scheideler, C. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2019. Lecture Notes in Computer Science(), vol 11931. Springer, Cham. https://doi.org/10.1007/978-3-030-34405-4_10

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  • DOI: https://doi.org/10.1007/978-3-030-34405-4_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34404-7

  • Online ISBN: 978-3-030-34405-4

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