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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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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