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Homogeneous 2-Hops Broadcast in 2D

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Computational Science and Its Applications - ICCSA 2006 (ICCSA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3981))

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Abstract

Given a set S of n pre-placed radio-stations and a source station s *, we consider two variations of minimum cost homogeneous range assignment problem for the 2-hops broadcast from s * to all the members in S, where the range assigned to a radio-station is either zero or a fixed value r. Thus, the cost of range assignment is proportional to the number of radio-stations having range r. The variations we study are (i) find the value of r and identify the radio-stations with range r such that the total cost is minimum, and (ii) given a real number r, check whether homogeneous 2-hops broadcast from s * to the members in S is possible with range r, and if so, then identify the smallest subset of S whom range r is to be assigned such that 2-hops broadcast from s * is possible. The first problem is solved in O(n 3) time and space. But, the second one seems to be hard. We present a 3-factor approximation algorithm for this problem, which runs in O(n 2) time. An O(n 2) time heuristic algorithm for the second problem is also presented. Most of the times, it produces optimum result for randomly placed radio-stations.

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© 2006 Springer-Verlag Berlin Heidelberg

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Das, G.K., Das, S., Nandy, S.C. (2006). Homogeneous 2-Hops Broadcast in 2D. In: Gavrilova, M.L., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751588_78

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  • DOI: https://doi.org/10.1007/11751588_78

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34072-0

  • Online ISBN: 978-3-540-34074-4

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