1. Homogeneous 2-hop broadcast in 2D
- Author
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Das, Gautam K., Das, Sandip, and Nandy, Subhas C.
- Subjects
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HOMOGENEOUS spaces , *VARIATIONAL principles , *BROADCASTING industry , *RADIO stations , *REAL numbers , *APPROXIMATION theory , *MATHEMATICAL analysis , *MOBILE communication systems - Abstract
Abstract: In this paper, two variations of the minimum cost homogeneous range assignment problem for 2-hop broadcast from a given source are considered. A set of radio stations are pre-placed in , and a source station (say) is marked. In our first problem, the objective is to find a real number r such that 2-hop homogeneous broadcast from is possible with range r, and the total power consumption of the entire network is minimum. In the second problem, a real number r is given and the objective is to identify the smallest subset of S for which range r can be assigned to accomplish the 2-hop broadcast from , provided such an assignment is possible. The first problem is solved in time and space. For the second problem, a 2-factor approximation algorithm is proposed that runs in time and space. [Copyright &y& Elsevier]
- Published
- 2010
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