Approximation algorithms for integer covering problems via greedy column generation

Y. Crama; J. Van De Klundert

RAIRO - Operations Research - Recherche Opérationnelle (1994)

  • Volume: 28, Issue: 3, page 283-302
  • ISSN: 0399-0559

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Crama, Y., and Van De Klundert, J.. "Approximation algorithms for integer covering problems via greedy column generation." RAIRO - Operations Research - Recherche Opérationnelle 28.3 (1994): 283-302. <http://eudml.org/doc/105086>.

@article{Crama1994,
author = {Crama, Y., Van De Klundert, J.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {covering; cutting stock; greedy algorithm},
language = {eng},
number = {3},
pages = {283-302},
publisher = {EDP-Sciences},
title = {Approximation algorithms for integer covering problems via greedy column generation},
url = {http://eudml.org/doc/105086},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Crama, Y.
AU - Van De Klundert, J.
TI - Approximation algorithms for integer covering problems via greedy column generation
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 3
SP - 283
EP - 302
LA - eng
KW - covering; cutting stock; greedy algorithm
UR - http://eudml.org/doc/105086
ER -

References

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  2. 2. V. CHVÁTAL, Linear Programming, Freeman, New York, 1983. Zbl0537.90067MR717219
  3. 3. H. DYCKHOFF, A typology of cutting and packing problems, European Journal of Operational Research, 1990, 44, p. 145-159. Zbl0684.90076MR1036150
  4. 4. G. DOBSON, Worst-case analysis of greedy heuristics for integer programming with nonnegative data, Mathematics of Operations Research, 1982, 7, p. 515-531. Zbl0498.90061MR686528
  5. 5. P. C. GILMORE, R. E. GOMORY, A linear programming approach to the cutting stock problem, Operations Research, 1963, 9, p. 849-859. Zbl0096.35501MR137589
  6. 6. M. X. GOEMANS, D. P. WILLIAMSON, new 3/4-approximation algorithm for MAX SAT, In Proc. of the third IPCO Conference, G. RINALDI and L. WOLSEY eds., 1993, p. 313-321. Zbl0929.90071
  7. 7. R. W. HAESSLER, P. E. SWEENEY, Cutting stock problems and solution procedures, European Journal of Operational Research, 1991, 54, p. 141-150. Zbl0736.90062
  8. 8. P. HANSEN, B. JAUMARD, M. POGGI DE ARAGÃO, Column generation methods for probabilistic logic, ORSA Journal on Computing, 1991, 3, p. 135-148. Zbl0800.68864
  9. 9. D. S. JOHNSON, Approximation algorithms for combinatorial problems, Journal of Computer and System Sciences, 1974, 9, p. 256-278. Zbl0296.65036MR449012
  10. 10. D. S. JOHNSON, Worst-case behavior of graph coloring algorithms, In Proc. 5th Southeastern Conf. on Combinatorics, Graph Theory and Computing, p. 513-527. Utilitas Mathematica Publ. Winnipeg, Ontario, 1974 b. Zbl0308.05109MR389644
  11. 11. D. KAVVADIAS, C. P. PAPADIMITRIOU, A linear programming approach to reasoning about probabilities, Annals of Mathematics and Artificial Intelligence, 1990, 1, p. 189-205. Zbl0878.68034
  12. 12. L. LOVÁSZ, On the ratio of optimal integral and fractional covers, Discrete Mathematics, 1974, 13, p. 383-390. Zbl0323.05127MR384578
  13. 13. C. LUND, M. YANNAKAKIS, On the hardness of approximating minimization problems, Working Paper AT&T Bell Labs, NJ, 1992. Zbl0814.68064
  14. 14. M. MINOUX, A class of combinatorial problems with polynomially solvable large scale set covering/partioning relaxations, R.A.I.R.O. Recherche opérationnelle/Operations Research, 1987, 21, p. 105-136. Zbl0644.90061MR897292
  15. 15. G. M. NEMHAUSER, L. A. WOLSEY, Integer and Combinatorial Optimization, Wiley- Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, New York Chichester Brisbane Toronto Singapore, 1988. Zbl0944.90001MR948455
  16. 16. N. J. NILSSON, Probabilistic logic, Artificial Intelligence, 1986, 28, p. 71-87. Zbl0589.03007MR832294
  17. 17. H. U. SIMON, The analysis of dynamic and hybrid channel assignment, Working Paper, Universität des Saarlandes, Saarbrücken, 1988. 
  18. 18. H. U. SIMON, On approximate solutions for combinatorial optimization problems, SIAM Journal on Discrete Mathematics, 1990, 3, p. 294-310. Zbl0699.68077MR1039300

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