A stochastic approach to some linear fractional goal programming problems

Ioan M. Stancu-Minasian; Ştefan Iulius Ţigan, Ştefan Iulius

Kybernetika (1988)

  • Volume: 24, Issue: 2, page 139-149
  • ISSN: 0023-5954

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Stancu-Minasian, Ioan M., and Ţigan, Ştefan Iulius, Ştefan Iulius. "A stochastic approach to some linear fractional goal programming problems." Kybernetika 24.2 (1988): 139-149. <http://eudml.org/doc/28279>.

@article{Stancu1988,
author = {Stancu-Minasian, Ioan M., Ţigan, Ştefan Iulius, Ştefan Iulius},
journal = {Kybernetika},
keywords = {Goal programming; random objective functions; Probabilistic target values; linear fractional min-max problem; linear constraints},
language = {eng},
number = {2},
pages = {139-149},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A stochastic approach to some linear fractional goal programming problems},
url = {http://eudml.org/doc/28279},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Stancu-Minasian, Ioan M.
AU - Ţigan, Ştefan Iulius, Ştefan Iulius
TI - A stochastic approach to some linear fractional goal programming problems
JO - Kybernetika
PY - 1988
PB - Institute of Information Theory and Automation AS CR
VL - 24
IS - 2
SP - 139
EP - 149
LA - eng
KW - Goal programming; random objective functions; Probabilistic target values; linear fractional min-max problem; linear constraints
UR - http://eudml.org/doc/28279
ER -

References

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  6. M. Chobot, A stochastic approach to goal programming, Ekonom.-mat. obzor 9 (1973), 305-319. In Slovak. (1973) MR0323340
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  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. (1982) MR0709607
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  13. A. L. Soyster, Convex programming with set-inclusive constraints and applications to inexact linear programming, Oper. Res. 21 (1973), 5, 1154-1157. (1973) Zbl0266.90046
  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. (1980) 
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  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. (1984) MR0797980
  17. K. Swarup, Linear fractional functional programming, Oper. Res. 13 (1965), 6, 1029-1036. (1965) 
  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. (1975) Zbl0356.90056MR0680980
  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. (1983) MR0750517
  20. Ş. Ţigan, Goal programming with inexact data, Seminar on Optimization Theory, Cluj-Napoca Univ., Report no. 5, 1985, 95-106. (1985) 
  21. Ş. Ţigan, I. M. Stancu-Minasian, The stochastic max-min problem, Operations Research Verfahren 51 (1984), 119-126. (1984) MR0774415

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