Heuristic methods for the -center problem
RAIRO - Operations Research - Recherche Opérationnelle (1991)
- Volume: 25, Issue: 1, page 65-72
- ISSN: 0399-0559
Access Full Article
topHow to cite
topPelegrin, Blas. "Heuristic methods for the $p$-center problem." RAIRO - Operations Research - Recherche Opérationnelle 25.1 (1991): 65-72. <http://eudml.org/doc/105003>.
@article{Pelegrin1991,
author = {Pelegrin, Blas},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {cluster analysis; heuristic; p-center problem; 2-approximation},
language = {eng},
number = {1},
pages = {65-72},
publisher = {EDP-Sciences},
title = {Heuristic methods for the $p$-center problem},
url = {http://eudml.org/doc/105003},
volume = {25},
year = {1991},
}
TY - JOUR
AU - Pelegrin, Blas
TI - Heuristic methods for the $p$-center problem
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1991
PB - EDP-Sciences
VL - 25
IS - 1
SP - 65
EP - 72
LA - eng
KW - cluster analysis; heuristic; p-center problem; 2-approximation
UR - http://eudml.org/doc/105003
ER -
References
top- 1. Y. P. ANEJA, R. CHANDRASEKARAN and K. P. K. NAIR, A Note on the m-Center Problem with Rectilinear Distances, European J. Oper. Res., 1988, 35, pp. 118-123. Zbl0699.90028MR932107
- 2. C. CHARALAMBUOUS, Extension of the Elzinga and Hearn Algorithm to the Weighted Case , Oper. Res., 1983, 30, pp. 591-594. Zbl0484.90030
- 3. L. COOPER, Heuristic Methods for Location-Allocation Problems, S.I.A.M. Review, 1964, 6, pp. 37-52. Zbl0956.90014MR160664
- 4. L. COOPER, N-Dimensional Location Models: An Application to Cluster Analysis, J. Regional Science, 1973, 13, pp. 41-54.
- 5. P. M. DEARING and R. L. FRANCIS, A Minimax Location Problem on a Network, Transportation Science, 1974, 8, pp. 333-343. MR441298
- 6. Z. DREZNER, The p-Center Problem, Heuristics and Optimal Algorithms, J. Oper. Res. Society, 1984, 35, pp. 741-748. Zbl0544.90024
- 7. Z. DREZNER, On the Rectangular p-Center Problem, Naval Research Logistics, 1987, 34, pp. 229-234. Zbl0614.90034MR880830
- 8. Z. DREZNER and G. O. WESOLOWSKY, Single Facility Ip-Distance Minimax Location, S.I.A.M. J. of Algebraic and Discrete Methods, 1980, 1, pp. 315-321. Zbl0501.90031MR586159
- 9. M. E. DYER and A. M. FRIEZE, A Simple Heuristic for the p-Center Problem, Oper. Res. Letters, 1985, 3, pp. 285-288. Zbl0556.90019MR797340
- 10. H. A. EISELT and G. CHARLESWORTH, A Note on p-Center Problems in the Plane, Transportation Science, 1986, 20, pp. 130-133. Zbl0629.90031MR878973
- 11. R. L. FRANCIS and J. A. WHITE, Facility Layout and Location: an Analytical Approach, Pretince Hall, 1974.
- 12. R. S. GARFINKEL, A. W. NEEBE and M. R. RAO, The m-Center Problem: Minimax Facility Location, Management Science, 1977, 23, pp. 1133-1142. Zbl0369.90125
- 13. S. L. HAKIMI, E. F. SCHMEICHEL and J. G. PIERCE, On p-Centers in Network, Transportation Science, 1978, 12, pp. 1-15. MR506674
- 14. G. Y. HANDLER, Complexity and Efficiency in Minimax Network Location, in Combinatorial Optimization, Christofïdes and Mingozzi Ed., 1979, pp. 281-314. Zbl0427.90082
- 15. G. Y. HANDLER and P. B. MIRCHANDANI, Location in Networks, M.I.T. Press, Cambridge, 1979. MR525692
- 16. D. S. HOCHBAUM and D. B. SHMOYS, A Best Possible Heuristic for the k-Center Problem, Math. Oper. Res., 1985, 10, pp. 180-184. Zbl0565.90015MR793876
- 17. W. L. HSU and G. L. NEMHAUSER, Easy and Hard Bottleneck Location Problems, Discrete Appl. Math., 1979, 1, pp. 209-216. Zbl0424.90049MR549500
- 18. O. KARIV and S. L. HAKIMI, An Algorithmic Approach to Network Location Problems, S I.A.M. J. Applied Math., 1979, 37, pp. 513-538. Zbl0432.90074MR549138
- 19. S. MASUYAMA, T. IBARAKI and T. HASEGAWA, The Computational Complexity of the m-Center Problem on the Plane. Transaction of the IECE of Japan E 64/2, 1981, 2, pp.57-64.
- 20. N. MEGIDDO and K. J. SUPOWIT, On the Complexity of Some Common Geometric Location Problems, S.I.A.M. J, of Cornp., 1984, 13, pp. 182-196. Zbl0534.68032MR731036
- 21. E. MINIEKA, A Polynomial Time Algorithm for Finding the Absolute Center of a Network, Networks, 1981, 11, pp. 351-355. Zbl0738.90045MR645111
- 22. B. PELEGRIN, General Approach for the 1-Center Problem, Cahiers du Centre d'Etudes de Recherche Opérationnelle, 1986, 28, pp. 293-302, Zbl0615.90034MR885769
- 23. B. PELEGRIN, The p-Center Problem Under Bidirectional Polyhedral Norms, in Proceedings III Meeting E.W.G. on Locational Analysis, pp. 151-169, Sevilla (Spain), 1988.
- 24. B. PELEGRIN, The p-Center Problem in Rn with Weighted Tchebycheff Norms, Working paper, Dpto. Matemática Aplicada y Estadística, 1990, J, Oper. Res. Society (submitted).
- 25. J. PLESNIK, A Heuristic for the p-Center Problem in Graphs, Discr. Appl. Math., 1987, 17, pp.263-268. Zbl0637.05020MR890636
- 26. H. SPÄTH, Computational Experience with the Exchange method, European J. Oper. Res., 1977, 1, pp. 23-31. Zbl0353.65004
- 27. H. SPÄTH, Cluster Disection and Analysis, Ellis Horwood Limited, 1985. Zbl0584.62094
- 28. H. B. TEITZ and P. BART, Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph, Operat. Res., 1968, 16, pp. 955-961. Zbl0165.22804
- 29. J. VIJAY, An Algorithm for the p-Center Problem in the Plane, Transportation Science, 1985, 19, pp. 235-245. Zbl0608.90020
- 30. C. D. T. WATSON-GANDY, The Multi-Facility Minimax Weber Problem, European J. Oper. Res., 1984, 18, pp. 44-50. Zbl0542.90033MR761947
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.