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Randomized Leader Election Protocols in Radio Networks with no Collision Detection

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Algorithms and Computation (ISAAC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1969))

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Abstract

The main contribution of this work is to propose energyeffcient randomized leader election protocols for single-hop, single-channel radio networks (RN) that do not have collision detection (CD) capabilities. We first presents a leader election protocol for the case the number n of stations is known beforehand. The protocol runs in O(log f) time slots with no station being awake for more than O(log log f + log f/log n ) time slots with probability at least 1 -1/f for any f ≥ 1. We then present three leader election protocols for the case where n is not known beforehand. The first protocol terminates, with probability exceeding 1 -1/f , in O((log n) 2 + (log f) 2 ) time slots, with no station being awake for more than O(log n +log f) time slots. Clearly, this first protocol terminates in O((log n) 2 ) expected time slots. Our second protocol reduces the expected termination time to O(log n) time slots. This second protocol terminates, with probability exceeding 1 -1/f in O(f 3/5 log n) time slots. Finally, by combining these two protocols, we obtain a third leader election protocol that terminates in O(log n) expected time slots. This latter protocol terminates, with with probability exceeding 1 -1/f , in O(min((log n) 2 + (log f) 2 ; f 3/5 log n)) time slots, with no station being awake for more than O(log n + log f) time slots.

Work supported in part by ONR grant N00014-91-1-0526 and by Grant-in-Aid for Encouragement of Young Scientists (12780213) from Ministry of Education, Science, Sports, and Culture of Japan.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Nagoya Institute of Technology, 466-8555, Nagoya, Showa-ku, Japan

    Koji Nakano

  2. Department of Computer Science, Old Dominion University, VA 23529, Norfolk, USA

    Stephan Olariu

Authors
  1. Koji Nakano
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  2. Stephan Olariu
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Editor information

Editors and Affiliations

  1. Karlsruhe University, Germany

    Gerhard Goos

  2. Cornell University, NY, USA

    Juris Hartmanis

  3. Utrecht University, The Netherlands

    Jan van Leeuwen

  4. Academia Sinica, Institute of Information Science, 128 Academia Road, Section 2, Nankang, 115, Taipei, Taiwan, R.O.C.

    D. T. Lee

  5. Department of Computer Science and Akamai Technologies, University of Illinois at Urbana Champaign, 500 Technology Square, 02139, Cambridge, MA, USA

    Shang-Hua Teng

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© 2000 Springer-Verlag Berlin Heidelberg

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Nakano, K., Olariu, S. (2000). Randomized Leader Election Protocols in Radio Networks with no Collision Detection. In: Goos, G., Hartmanis, J., van Leeuwen, J., Lee, D.T., Teng, SH. (eds) Algorithms and Computation. ISAAC 2000. Lecture Notes in Computer Science, vol 1969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40996-3_31

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  • DOI: https://doi.org/10.1007/3-540-40996-3_31

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41255-7

  • Online ISBN: 978-3-540-40996-0

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