| Title:
|
A stochastic approach to some linear fractional goal programming problems (English) |
| Author:
|
Stancu-Minasian, I. M. |
| Author:
|
Ţigan, Şt. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
24 |
| Issue:
|
2 |
| Year:
|
1988 |
| Pages:
|
139-149 |
| . |
| Category:
|
math |
| . |
| MSC:
|
90C15 |
| MSC:
|
90C31 |
| MSC:
|
90C32 |
| idZBL:
|
Zbl 0653.90052 |
| idMR:
|
MR942381 |
| . |
| Date available:
|
2009-09-24T18:05:26Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125124 |
| . |
| Reference:
|
[1] Usha Agrawal K. Swarup, K. C. Garg: Goal programming problem with linear fractional objective function.Cahiers Centre Études Rech. Opér. 26 (1984), 1-2, 33-41. MR 0750902 |
| Reference:
|
[2] A. Ben-Israel A. Charnes, M. J. L. Kirby: On stochastic linear approximation problems.Oper. Res. 18 (1970), 3, 555-558. MR 0267737 |
| Reference:
|
[3] B. Bereanu: On stochastic linear programming, I. Distribution problems: A single random variable.Rev. Roumaine Math. Pures Appl. 8 (1963), 4, 683-697. MR 0177806 |
| Reference:
|
[4] A. Charnes, W. W. Cooper: Management Models and Industrial Applications of Linear Programming, Vol. 1.John Wiley, New York 1961. MR 0157773 |
| Reference:
|
[5] A. Charnes, W. W. Cooper: Goal programming and multiple objective optimizations, Part I.European J. Oper. Res. 1 (1977), 39-54. Zbl 0375.90079, MR 0452646 |
| Reference:
|
[6] M. Chobot: A stochastic approach to goal programming.Ekonom.-mat. obzor 9 (1973), 305-319. In Slovak. MR 0323340 |
| Reference:
|
[7] B. Contini: A stochastic approach to goal programming.Oper. Res. 16 (1968), 3, 576-586. Zbl 0211.22501 |
| Reference:
|
[8] Y. Ijiri: Management Goals and Accounting for Control.North Holland, Amsterdam 1965. |
| Reference:
|
[9] J. S. H. Kornbluth, R. E. Steuer: Goal programming with linear fractional criteria.European J. Oper. Res. 1 (1981), 58-65. Zbl 0486.90077, MR 0629910 |
| Reference:
|
[10] J. S. H. Kornbluth: Max-min programming with linear fractional functions. Algorithms and examples.In: Essays and Surveys on Multiple Criteria Decision Making (Mons, 1982 P. Hansen, ed.). (Lecture Notes in Econom. and Math. Systems 209.) Springer-Verlag, Berlin--Heidelberg--New York 1983, 204-213. MR 0709607 |
| Reference:
|
[11] S. M. Lee: Goal Programming for Decision Analysis.Auerbach Publishers Inc., Philadelphia, Pennsylvania 1972. |
| Reference:
|
[12] V. Peteanu, Ş. Ţigan: Programare scop de tip interval cu criterii fracţionare.Babeş-Bolyai Univ., Cluj-Napoca 1984, 21-22. MR 0788748 |
| Reference:
|
[13] A. L. Soyster: Convex programming with set-inclusive constraints and applications to inexact linear programming.Oper. Res. 21 (1973), 5, 1154-1157. Zbl 0266.90046 |
| Reference:
|
[14] I. M. Stancu-Minasian: A survey of methods used for solving the linear fractional programming problems with several objective functions.Operations Research Verfahren 40 (1980), 159-162. |
| Reference:
|
[15] I. M. Stancu-Minasian: Stochastic Programming with Multiple Objective Functions.Ed. Academiei, Bucureşti and D. Reidel Publishing Company, Dordrecht--Boston--Lancaster--Tokyo 1984. Zbl 0554.90069, MR 0785571 |
| Reference:
|
[16] I. M. Stancu-Minasian, Ş. Ţigan: The minimum-risk approach to special problems of mathematical programming. The distribution function of the optimal value.Anal. Numer. Theor. Approx. 13 (1984), 2, 175-187. MR 0797980 |
| Reference:
|
[17] K. Swarup: Linear fractional functional programming.Oper. Res. 13 (1965), 6, 1029-1036. |
| Reference:
|
[18] Ş. Ţigan: Sur une méthode pour la résolution d'un problème d'optimisation fractionnaire par segments.Anal. Numér. Théor. Approx. 4 (1975), 1, 87-97. Zbl 0356.90056, MR 0680980 |
| Reference:
|
[19] Ş. Ţigan: A parametrical method for max-min nonlinear fractional problems.Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca Univ., 1983, 175-194. MR 0750517 |
| Reference:
|
[20] Ş. Ţigan: Goal programming with inexact data.Seminar on Optimization Theory, Cluj-Napoca Univ., Report no. 5, 1985, 95-106. |
| Reference:
|
[21] Ş. Ţigan, I. M. Stancu-Minasian: The stochastic max-min problem.Operations Research Verfahren 51 (1984), 119-126. MR 0774415 |
| . |
