@article{RO_1988__22_4_313_0,
author = {Idrissi, H. and Lefebvre, O. and Michelot, C.},
title = {A primal-dual algorithm for a constrained {Fermat-Weber} problem involving mixed norms},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {313--330},
year = {1988},
publisher = {EDP Sciences},
volume = {22},
number = {4},
mrnumber = {978818},
zbl = {0663.90026},
language = {en},
url = {https://www.numdam.org/item/RO_1988__22_4_313_0/}
}
TY - JOUR AU - Idrissi, H. AU - Lefebvre, O. AU - Michelot, C. TI - A primal-dual algorithm for a constrained Fermat-Weber problem involving mixed norms JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1988 SP - 313 EP - 330 VL - 22 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/item/RO_1988__22_4_313_0/ LA - en ID - RO_1988__22_4_313_0 ER -
%0 Journal Article %A Idrissi, H. %A Lefebvre, O. %A Michelot, C. %T A primal-dual algorithm for a constrained Fermat-Weber problem involving mixed norms %J RAIRO - Operations Research - Recherche Opérationnelle %D 1988 %P 313-330 %V 22 %N 4 %I EDP Sciences %U https://www.numdam.org/item/RO_1988__22_4_313_0/ %G en %F RO_1988__22_4_313_0
Idrissi, H.; Lefebvre, O.; Michelot, C. A primal-dual algorithm for a constrained Fermat-Weber problem involving mixed norms. RAIRO - Operations Research - Recherche Opérationnelle, Tome 22 (1988) no. 4, pp. 313-330. https://www.numdam.org/item/RO_1988__22_4_313_0/
1. and , A Subgradient Algorithm for Certain Minimax and Minisum Problems. The Constrained Case, S.I.A.M. Journal on Control and Qptimization, Vol. 20, 1982, pp. 455-469. | Zbl | MR
2. , and , Constrained Location and the Weber-Rawls Problem, Annals of Discrete Mathematics, Vol. 11, 1981, pp. 147-166. | Zbl | MR
3. , and , An Algorithm for Constrained Weber Problem, Management Science, Vol. 28, No. 11, 1982, pp. 1285-1295. | Zbl
4. and , On the Dual of the Linearly Constrained Multifacility Location Problem with Arbitrary Norms, Transportation Science, Vol. 25, 1981, pp. 329-337. | MR
5. , Approximation et Optimisation, Hermann, Paris, 1972. | Zbl | MR
6. and , Calcul d'un point fixe d'une application prox par la méthode des approximations successives; condition de convergence finie, Comptes rendus de l'Académie des Sciences de Paris, T. 303, série I, No. 17, 1986. | Zbl | MR
7. , Locating Facilities in Three-Dimensional Space by Convex Programming, Naval Research Logistics Quaterly, Vol. 16, 1969, pp. 503-516. | Zbl | MR
8. , The Dual of a Hyperbolic Approximation to the Generalized Constrained Multi-Facility Location Problem with lp Distances, Management Science, Vol. 21, No. 1, 1974, pp, 22-33. | Zbl | MR
9. and , A Dual Decomposition Method for Minimizing Transportation Costs in Multi-facility Location Problems, Transportation Science, Vol. 7, 1973, pp. 297-316. | MR
10. and , Solving Constrained Multi-facility Location Problems Involving lp Distances Using Convex Programming, Operations Research, Vol. 23, 1975, pp. 581-587. | Zbl | MR
11. and , A Primal-dual Algorithm for the Fermat-Weber Problem Involving Mixed Gauges, Mathematical Programming, Vol. 39, 1987, pp. 319-335. | Zbl | MR
12. , A Stable Method for Solving Certain Constrained Least Squares Problems, Mathematical Programming, Vol. 16, 1974, pp. 141-158. | Zbl | MR
13. , A Linear Programming Solution to the Generalized Rectangular Distance Weber Problem, Naval Research Logistics Quaterly, Vol. 22, 1975, pp. 155-164. | Zbl | MR
14. , Convex Analysis, Princeton, New Jersey, Princeton University Press, 1970. | Zbl
15. , Conjugate Duality and Optimization, Regional Conference Series in Applied Mathematics, S.I.A.M., 1974. | Zbl | MR
16. and , An Algorithm for the Solution of a Location Problem with Metric Constraints, Naval Research Logistics Quaterly, Vol. 21, 1974, pp. 625-636. | Zbl | MR
17. , Partial Inverse of a Monotone Operator, Applied Mathematics and Optimization, Vol. 10, 1983, pp. 247-265. | Zbl | MR
18. , The Solution of Distance Constrained Mini-Sum Location Problems, Operations Research, Vol. 33, 1985, pp. 784-802. | Zbl | MR
19. and , The Optimal Location of New Facilities Using Rectangular Distances, Operations Research, Vol. 19, 1971, pp. 124-130. | Zbl | MR






