Abstract
Given a set B of obstacles and a set S of source points in the plane, the problem of finding a set of points subject to a certain objective function with respect to B and S is a basic problem in applications such as facility location problem 5.
This work is partially supported by KOSEF, Grant No. 98-0102-07-01-3.
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References
M. J. Atallah, R. Cole, and M. T. Goodrich, Cascading divide-and-conquer: a technique for designing parallel algorithms, SIAM J. Comput., 18:499–532, 1989.
V. Chepoi and F. Dragan, Computing a median point of a simple rectilinear polygon, Inform. Process. Lett., 49:281–285, 1994.
M. E. Dyer, On a multidimensional search technique and its application to the Euclidean one-centre problem, SIAM J. Comput., 15:725–738, 1986.
P. J. deRezende, D. T. Lee, and Y. F. Wu, Rectilinear shortest paths in the presence of rectilinear barriers, Discrete Comput. Geom., 4:41–53, 1989.
R. L. Francis and J. A. White, Facility Layout and Location, Prentice Hall, Englewood Cliffs, NJ, 1974.
M. T. Ko and R. C. T. Lee, On weighted rectilinear 2-center and 3-center problems, Inform. Sci., 54:169–190, 1991. 30
Y. Kusakari and T. Nishizeki, An algorithm for finding a region with the minimum total L 1-distance from prescribed terminals, Proc. of ISAAC’97, Lecture Notes in Computer Science, Springer-Verlag, 324–333, 1997.
R. C. Larson and G. Sadiq, Facility locations with the Manhattan metric in the presence of barriers to travel, Oper. Res., 31:652–669, 1983.
N. Megiddo, Applying parallel computation algorithms in the design of serial algorithms, J. ACM, 30:852–865, 1983.
M. Sharir and E. Welzl, Rectilinear and polygonal p-piercing and p-center problems, Proc. 12th ACM Symp. Comput. Geom., 122–132, 1996.
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Choi, J., Shin, CS., Kim, S.K. (1998). Computing Weighted Rectilinear Median and Center Set in the Presence of Obstacles. In: Chwa, KY., Ibarra, O.H. (eds) Algorithms and Computation. ISAAC 1998. Lecture Notes in Computer Science, vol 1533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49381-6_5
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