On some procedures for solving fractional max-min problems

Authors

  • Ştefan Ţigan Territorial Computing Center Cluj-Napoca, Romania
Abstract views: 121

Abstract

Not available.

Downloads

Download data is not yet available.

References

Bazaraa, Mokhtar S., Shetty, C. M., Nonlinear programming. Theory and algorithms. John Wiley & Sons, New York-Chichester-Brisbane, 1979. xiv+560 pp. ISBN: 0-471-78610-1, MR0533477.

Belenkiĭ, A. S,. Minimax planning problems with linear constraints and methods of their solution. (Russian) Automat. Remote Control 1981, no. 10, 157-170, MR0705150.

Berge, Claude Espaces topologiques: Fonctions multivoques. (French) Collection Universitaire de Mathématiques, Vol. III Dunod, Paris 1959 xi+272 pp., MR0105663.

Bitran, Gabriel R., Magnanti, Thomas L., Duality and sensitivity analysis for fractional programs. Operations Res. 24 (1976), no. 4, 675-699, MR0469280, https://doi.org/10.1287/opre.24.4.675

Charnes, A.; Cooper, W. W., Programming with linear fractional functionals. Naval Res. Logist. Quart. 9 1962 181-186, MR0152370, https://doi.org/10.1002/nav.3800090303

Cook, W. D., Kirby, M. J. L., Mehndiratta, S. L. A linear fractional max-min problem. Operations Res. 23 (1975), no. 3, 511-521, MR0459631, https://doi.org/10.1287/opre.23.3.511

Dinkelbach, Werner, On nonlinear fractional programming. Management Sci. 13 1967 492-498, MR0242488, https://doi.org/10.1287/mnsc.13.7.492

Mond, B.; Craven, B. D. Nonlinear fractional programming. Bull. Austral. Math. Soc. 12 (1975), no. 3, 391-397, MR0373627, https://doi.org/10.1017/s0004972700024047

Owen, G., Game Theory, W.B., Saunders Company, Philadelphia, 1963.

Peteanu, V., Ţigan, Ş., On some discrete fractional max-min problems. Application to max-min problems in graphs. Anal. Numér. Théor. Approx. 13 (1984), no. 2, 167-173, MR0797979.

Schaible, S., Nonlinear fractional programming. Sechste Oberwolfach-Tagung über Operations Research (1973), Teil II, pp. 109-115. Operations Research Verfahren, Band XIX, Hain, Meisenheim am Glan, 1974, MR0444037.

Schaible, Siegfried, Fractional programming with several ratios. IX symposium on operations research. Part I. Sections 1-4 (Osnabrück, 1984), 77-83, Methods Oper. Res., 49, Athenäum/Hain/Hanstein, Königstein, 1985, MR0816952.

Stancu-Minasian, I. M.; Ţigan, Şt,. The minimum risk approach to max-min bilinear programming. An. Ştiinţ. Univ. Al. I. Cuza Iaşi Secţ. I a Mat. 31 (1985), no. 2, 205-209, MR0858062.

Tigan, S., On a method for fractional optimization problems. Applicaiton to stochastic optimization problems, Proc. of the Computer Science Conference, Székesfehérvar, Hungary (1973), pp. 351-355.

Ţigan, Ştefan, A parametrical method for max-min nonlinear fractional problems. Itinerant seminar on functional equations, approximation and convexity (Cluj-Napoca, 1983), 175-184, Preprint, 83-2, Univ. "Babeş-Bolyai", Cluj-Napoca, 1983, MR0750517.

Ţigan, Ştefan, Sur une méthode pour la résolution d'un problème d'optimisation fractionnaire par segments. (French) Rev. Anal. Numér. Théor. Approx. 4 (1975), no. 1, 87-97, MR0680980.

Ţigan, Ştefan, On the max-min nonlinear fractional problem. Anal. Numér. Théor. Approx. 9 (1980), no. 2, 283-288 (1981), MR0651784.

Ţigan, Ştefan, Sur quelques propriétés de stabilité concernant les problèmes d'optimisation avec contraintes. (French) Anal. Numér. Théor. Approx. 6 (1977), no. 2, 203-225, MR0680261.

Ţigan, Şt., Stancu-Minasian, I. M., The stochastic max-min problem. Contributions to operations research and mathematical economics, Vol. I, 119-126, Methods Oper. Res., 51, Athenäum/Hain/Hanstein, Königstein, 1984, MR0774415.

Ţigan, Ştefan, On some nonlinear knapsack problems. Itinerant seminar on functional equations, approximation and convexity (Cluj-Napoca, 1984), 203-208, Preprint, 84-6, Univ. "Babeş-Bolyai", Cluj-Napoca, 1984, MR0788748.

Downloads

Published

1988-02-01

How to Cite

Ţigan, Ştefan. (1988). On some procedures for solving fractional max-min problems. Anal. Numér. Théor. Approx., 17(1), 73–91. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1988-vol17-no1-art11

Issue

Section

Articles