Homogeneous 2-Hops Broadcast in 2D

  • Gautam K. Das
  • Sandip Das
  • Subhas C. Nandy
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3981)


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.


Wireless Network Time Complexity Approximation Algorithm Steiner Tree Multihop Wireless Network 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Gautam K. Das
    • 1
  • Sandip Das
    • 1
  • Subhas C. Nandy
    • 1
  1. 1.Indian Statistical InstituteKolkataIndia

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