Approximation algorithms for integer covering problems via greedy column generation
RAIRO - Operations Research - Recherche Opérationnelle, Tome 28 (1994) no. 3, pp. 283-302.
@article{RO_1994__28_3_283_0,
     author = {Crama, Y. and Van De Klundert, J.},
     title = {Approximation algorithms for integer covering problems via greedy column generation},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {283--302},
     publisher = {EDP-Sciences},
     volume = {28},
     number = {3},
     year = {1994},
     mrnumber = {1290532},
     zbl = {0830.90107},
     language = {en},
     url = {http://archive.numdam.org/item/RO_1994__28_3_283_0/}
}
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Crama, Y.; Van De Klundert, J. Approximation algorithms for integer covering problems via greedy column generation. RAIRO - Operations Research - Recherche Opérationnelle, Tome 28 (1994) no. 3, pp. 283-302. http://archive.numdam.org/item/RO_1994__28_3_283_0/

1. V. Chvátal, A greedy heuristic for the set-covering problem, Mathematics of Operations Research, 1979, 4, p. 233-235. | MR | Zbl

2. V. Chvátal, Linear Programming, Freeman, New York, 1983. | MR | Zbl

3. H. Dyckhoff, A typology of cutting and packing problems, European Journal of Operational Research, 1990, 44, p. 145-159. | MR | Zbl

4. G. Dobson, Worst-case analysis of greedy heuristics for integer programming with nonnegative data, Mathematics of Operations Research, 1982, 7, p. 515-531. | MR | Zbl

5. P. C. Gilmore, R. E. Gomory, A linear programming approach to the cutting stock problem, Operations Research, 1963, 9, p. 849-859. | MR | Zbl

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. | Zbl

7. R. W. Haessler, P. E. Sweeney, Cutting stock problems and solution procedures, European Journal of Operational Research, 1991, 54, p. 141-150. | Zbl

8. P. Hansen, B. Jaumard, M. Poggi De Aragão, Column generation methods for probabilistic logic, ORSA Journal on Computing, 1991, 3, p. 135-148. | Zbl

9. D. S. Johnson, Approximation algorithms for combinatorial problems, Journal of Computer and System Sciences, 1974, 9, p. 256-278. | MR | Zbl

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. | MR | Zbl

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. | Zbl

12. L. Lovász, On the ratio of optimal integral and fractional covers, Discrete Mathematics, 1974, 13, p. 383-390. | MR | Zbl

13. C. Lund, M. Yannakakis, On the hardness of approximating minimization problems, Working Paper AT&T Bell Labs, NJ, 1992. | Zbl

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. | Numdam | MR | Zbl

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. | MR | Zbl

16. N. J. Nilsson, Probabilistic logic, Artificial Intelligence, 1986, 28, p. 71-87. | MR | Zbl

17. H. U. Simon, The analysis of dynamic and hybrid channel assignment, Working Paper, Universität des Saarlandes, Saarbrücken, 1988.

18. H. U. Simon, On approximate solutions for combinatorial optimization problems, SIAM Journal on Discrete Mathematics, 1990, 3, p. 294-310. | MR | Zbl