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Station Layouts in the Presence of Location Constraints

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Algorithms and Computation (ISAAC 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1741))

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Abstract

In wireless communication, the signal of a typical broadcast station is transmited from a broadcast center p and reaches objects at a distance, say, R from it. In addition there is a radius r, r < R, such that the signal originating from the center of the station is so strong that human habitation within distance r from the center p should be avoided. Thus every station determines a region which is an “annulus of permissible habitation”. We consider the following station layout (SL) problem: Cover a given (say, rectangular) planar region which includes a collection of orthogonal buildings with a minimum number of stations so that every point in the region is within the reach of a station, while at the same time no building is within the dangerous range of a station. We give algorithms for computing such station layouts in both the one- and two-dimensional cases.

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References

  1. L. I. Aupperle, H. E. Conn, J. M. Kell, and J. O’Rourke, “Covering Orthogonal Polygons with Squares”, in proceedings of 26th Annual Allerton Conference on Coom. Contr, and Comp., Urbana, 28–30, Sep. 1988.

    Google Scholar 

  2. R. Bar-Yehuda, and E. Ben-Chanoch, “An O(N log_ N) Time Algorithm for Covering Simple Polygons with Squares”, in proceedings of the 2nd Canadian Conference on Computational Geometry, held in Ottawa, pp. 186–190, 1990.

    Google Scholar 

  3. B. N. Clark, C. J. Colbourn, and D. S. Johnson, “Unit Disk Graphs”, Discrete Mathematics 86(1990) 165–177.

    Google Scholar 

  4. T. H. Cormen, C. E. Leiserson, and R. L. Rivest, “An Introduction to Algorithms”, MIT Press, 1990.

    Google Scholar 

  5. N. A. DePano, Y. Ko, and J. O’Rourke, “Finding Largest Equilateral Triangles and Squares”, Proceedings of the Allerton Conference, pages 869–878, 1987.

    Google Scholar 

  6. F. Gavril, “Algorithms for Minimum Coloring, Minimum Clique, Minimum Covering by Cliques, and Maximum Independent Set of a Chordal Graph”, SIAM J. Comput., Vol. 1, No. 2, June 1972, pp. 180–187.

    Article  MATH  MathSciNet  Google Scholar 

  7. D. S. Hochbaum and W. Maass, “Approximation Schemes for Covering and Packing Problems in Image Processing and VLSI”, J. ACM 32:130–138, 1985.

    Article  MATH  MathSciNet  Google Scholar 

  8. H. B. Hunt, M. V. Marathe, V. Radhakrishnan, S. S. Ravi, D. J. Rosenkrantz, R. E. Stearns, “NC Approximation Schemes for NP-and PSPACE-Hard Problems for Geometric Graphs”, in Proceedings of 2nd ESA, pp. 468–477.

    Google Scholar 

  9. J. C, Lin, “Biological Aspects of Mobile Communication Data”, Wireless Networks, pages 439–453, Vol. 3 (1997) No, 6.

    Article  Google Scholar 

  10. D. Moitra, “Finding a Minimal Cover for Binary Images: An Optimal Parallel Algorithm”, Algorithmica (1991) 6: 624–657.

    Google Scholar 

  11. K. Pahlavan and A. Levesque, “Wireless Information Networks,” Wiley-Interscience, New York, 1995.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Kaklamanis, C., Kirousis, L.M., Bose, P., Kranakis, E., Krizanc, D., Peleg, D. (1999). Station Layouts in the Presence of Location Constraints. In: Algorithms and Computation. ISAAC 1999. Lecture Notes in Computer Science, vol 1741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46632-0_28

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  • DOI: https://doi.org/10.1007/3-540-46632-0_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66916-6

  • Online ISBN: 978-3-540-46632-1

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