Solving the k-influence region problem with the GPU

Information Sciences

Volumn 269, Issue , 2014, Pages 255-269

  Fort, M ^a   Sellares J A ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

Competitive facility location; Computer science; Decision making support system; Graphics Processing Unit (GPU); Influence region; Visualization

Indexed keywords

COMPUTER GRAPHICS; COMPUTER SCIENCE; DECISION MAKING; FLOW VISUALIZATION; LOCATION; PROGRAM PROCESSORS; VISUALIZATION;

COMPETITIVE FACILITY LOCATION; COMPLICATED STRUCTURES; DECISION MAKING SUPPORT SYSTEM; EUCLIDEAN DOMAIN; GRAPHICS PROCESSING UNIT; INFLUENCE REGION; OPTIMAL LOCATIONS; WEIGHTED DISTANCE;

COMPUTER GRAPHICS EQUIPMENT;

EID: 84897102322     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.12.002     Document Type: Article

References (26)

1. F. Aurenhammer, and H. Edelsbrunner An optimal algorithm for constructing the weighted Voronoi diagrams in the plane Pattern Recognit. 17 2 1984 251 257
2. B. Boots, and R. South Modeling retail trade areas using higher-order, multiplicatively weighted Voronoi diagrams J. Retail. 73 3 1997 519 536
3. S. Cabello, J.M. Díaz-Báñez, S. Langerman, C. Seara, and Immaculada Ventura Facility location problems in the plane based on reverse nearest neighbor queries Eur. J. Oper. Res. 202 1 2009 99 106
4. L. Cayton, A nearest neighbor data structure for Graphics Hardware, in: VLDB-ADMS, 2010, pp. 1-6.
5. O. Cheong, A. Efrat, and S. Har-Peled Finding a guard that sees most and a shop that sells most Discrete Comput. Geom. 37 4 2007 545 563
6. F. Dehne, R. Klein, and R. Seidel Maximizing a Voronoi region: the convex case Int. J. Comput. Geom. Appl. 15 5 2005 463 476
7. M. Denny Solving geometric optimization problems using graphics hardware Comput. Graph. Forum 22 3 2003 441 452
8. T. Drezner Competitive facility location Encyclopedia Optim. 2001
9. Z. Drezner, and H.W. Hamacher Facility Location - Applications and Theory 2002 Springer Verlag
10. A. Didandeh, B. Sadeghi Bigham, M. Khosravian, and F. Bakhshandegan Using Voronoi diagrams to solve a hybrid facility location problem with attentive facilities Inform. Sci. 234 10 2013 203 216
11. H.A. Eiselt, G. Laporte, and J.F. Thisse Competitive location models: a framework and bibliography Transport. Sci. 27 1993 44 54
12. M. Fort, J.A. Sellarès, GPU-based influence regions optimization, in: ICCSA 2012, LNCS 7333, 2012, pp. 253-266.
13. M. Fort, and J.A. Sellarès Finding influential location regions based on reverse k-neighbor queries Knowl.-Based Syst. 47 2013 35 52
14. D.T. Lee, V.B. Wu, Multiplicative weighted farthest neighbor Voronoi diagrams in the plane, in: Proceedings of the International Workshop on Discrete Mathematics and Algorithms, 1993, pp. 154-168.
15. P. Leite, J.M. Teixeira, T. Farias, V. Teichrieb, J. Kelner, Massively parallel nearest neighbor queries for dynamic point clouds on the GPU, in: 21st International Symposium on Computer Architecture and High Performance Computing, 2009, pp. 19-25.
16. S. Liang, Y. Liu, C. Wang, L. Jian, A CUDA-based parallel implementation of k-nearest neighbor algorithm, in: IEEE'09, 2009, pp. 291-296.
17. M.D. Lieberman, J. Sankaranarayanan, H Samet, A fast similarity join algorithm using graphics processing units, in: International Conference on Data Engineering, 2008, pp. 1111-1120.
18. L. Mussi, F. Daolio, and S. Cagnoni Evaluation of parallel particle swarm optimization algorithms within the CUDA architecture Inform. Sci. 181 20 2011 4642 4657
19. S. Nickel, and J. Puerto Location theory - a unified approach Math. Methods Oper. Res. 66 2 2009 369 371
20. Nvidia, OpenCl Programming for the CUDA Architecture. Available from: http://www.nvidia.com/content/cudazone/download/OpenCL/NVIDIA-OpenCL- ProgrammingGuide.pdf (accessed desember 2013).
21. J.D. Owens, D. Luebke, N. Govindaraju, M. Harris, J. Krüger, A.E. Lefohn, and T.J. Purcell A survey of general-purpose computation on graphics hardware Comput. Graph. Forum 26 1 2007 80 113
22. F. Plastria Static competitive location: an overview of optimisation approaches Eur. J. Oper. Res. 129 2001 461 470
23. R.C. Wong, M.T. Özsu, P.S. Yu, A.W. Fu, L. Liu, Efficient method for maximizing bichromatic reverse nearest neighbor, in: Proc. VLDB Endow, vol. 2, 2009, pp. 1126-1137.
24. D. Yan, R.C. Wong, W. Ng, Efficient methods for finding influential locations with adaptive grids, in: ACM-CIKM, 2011, pp. 1475-1484.
25. J. Zhao, Q. Liu, W. Wang, Z. Wei, and P. Shi A parallel immune algorithm for traveling salesman problem and its application on cold rolling scheduling Inform. Sci. 181 7 2011 1212 1223
26. Z. Zhou, W. Wu, X. Li, M.L. Lee, W. Hsu, MaxFirst for MaxBRkNN, in: IEEE 27th International Conference on Data Engineering, 2011, pp. 828-839.