The techniques of linear multiobjective programming

P. L. Yu; M. Zeleny

RAIRO - Operations Research - Recherche Opérationnelle (1974)

  • Volume: 8, Issue: V3, page 51-71
  • ISSN: 0399-0559

How to cite

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Yu, P. L., and Zeleny, M.. "The techniques of linear multiobjective programming." RAIRO - Operations Research - Recherche Opérationnelle 8.V3 (1974): 51-71. <http://eudml.org/doc/104602>.

@article{Yu1974,
author = {Yu, P. L., Zeleny, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {eng},
number = {V3},
pages = {51-71},
publisher = {EDP-Sciences},
title = {The techniques of linear multiobjective programming},
url = {http://eudml.org/doc/104602},
volume = {8},
year = {1974},
}

TY - JOUR
AU - Yu, P. L.
AU - Zeleny, M.
TI - The techniques of linear multiobjective programming
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1974
PB - EDP-Sciences
VL - 8
IS - V3
SP - 51
EP - 71
LA - eng
UR - http://eudml.org/doc/104602
ER -

References

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  1. [1] YU P. L., Cone Convexity, Cone Extreme Points and Nondominated Solutions in Decision Problems with Multiobjectives, Center for Systems Science, University of Rochester, CSS 72-02, 1972 (To appear in Journal of Optimization Theory and Applications). Zbl0268.90057MR381739
  2. [2] YU P. L., Introduction to Domination Structures in Multicriteria Decision Problems, Systems Analysis Program, University of Rochester, No. 7219 (In : Multiple Criteria Decision Making, edited by J. L. COCHRANE and M. ZELENY, USC Press, Columbia, 1973). MR443858
  3. [3] YU P. L. and ZELENY M., The Set of All Nondominated Solutions in the Linear Cases and A Multicriteria Simplex Method, Center for Systems Science, University of Rochester, CSS 73-03, 1973 (To appear in Journal of Mathematical Analysis and Applications). Zbl0313.65047MR421660
  4. [4] YU P. L. and ZELENY M., On Some Linear Multi-Parametric Programs, Center for Systems Science, University of Rochester, CSS 73-05, 1973. 
  5. [5] ZELENY M., Linear Multiobjective Programming, Springer-Verlag, New York, 1974, p. 220. Zbl0325.90033MR351440
  6. [6] GAL T. and NEDOMA J., « Multiparametric Linear Programming », Management Science, Vol. 18, No. 7, March 1972, pp. 406-421. Zbl0237.90037MR292502
  7. [7] COCHRANE J. L. and M. ZELENY (eds.), Multiple Criteria Decision Making, The University of South Carolina Press, Columbia, S. C., 1973, p. 816. MR443858
  8. [8] ROY B., « Problems and methods with multiple objective functions », Mathematical Programming, Vol. 1, No. 2, 1971. Zbl0254.90061MR1552721
  9. [9] STOER J. and WITZGALL C., Convexity and Optimization in Finite Dimensions, Springer-Verlag, New York, 1970. Zbl0203.52203MR286498
  10. [10] HADLEY G., Linear Programming, Addison-Wesley, Reading, Mass., 1963. Zbl0102.36304MR135622
  11. [11] DANTZIG G. B., Linear Programming and Extensions. Princeton University Press, Princeton, N. J., 1963. Zbl0997.90504MR201189
  12. [12] ZELENY M., « Compromise Programming », In : Multiple Criteria Decision Making, edited by J. L. COCHRANE and M. ZELENY, USC Press, Columbia, 1973. 
  13. [13] ZELENY M., « A Selected Bibliography of Works Related to the Multiple Criteria Decision Making », In : Multiple Criteria Decision Making, edited by J. L. COCHRANE and M. ZELENY, USC Press, Columbia, 1973. 
  14. [14] ZELENY M., « A Concept of Compromise Solutions and the Method of the Displaced Ideal », (To appear in International Journal of Computers and Operations Research). 
  15. [15] EVANS J. P. and STEUER R. E., « Generating Efficient Extreme Points in Linear Multiple Objective Programming : Two Algorithms and Computing Experience », In : Multiple Criteria Decision Making, edited by J. L. Cochrane and M. Zeleny, USC Press, Colombia, 1973. 

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