论文信息 - Vector-valued Lagrangian and multiobjective fractional programming duality

Vector-valued Lagrangian and multiobjective fractional programming duality

A class of multiobjective fractional programming problems is considered and duality results are established in terms of properly efficient solutions of the primal and dual programs. Further a vector-valued ratio type Lagrangian is introduced and certain vector saddlepoint results are presented.

B. Mond | B. D. Craven | Suresh Chandra

[1] C. R. Bector,et al. Duality in Multiobjective Fractional Programming , 1990 .

[2] Siegfried Schaible,et al. Bibliography in fractional programming , 1982, Z. Oper. Research.

[3] T. Weir. A Dual For A Multiple Objective Fractional Programming Problem , 1986 .

[4] T. Weir,et al. Generalised convexity and duality in multiple objective programming , 1989, Bulletin of the Australian Mathematical Society.

[5] B. D. Craven,et al. Lagrangean conditions and quasiduality , 1977, Bulletin of the Australian Mathematical Society.

[6] C. R. Bector. Duality in nonlinear fractional programming , 1973, Z. Oper. Research.

[7] A. M. Geoffrion. Proper efficiency and the theory of vector maximization , 1968 .

[8] Hirotaka Nakayama,et al. Theory of Multiobjective Optimization , 1985 .

[9] Chanchal Singh,et al. A class of multiple-criteria fractional programming problems , 1986 .

[10] Olvi L. Mangasarian,et al. Nonlinear Programming , 1969 .

[11] Richard R. Egudo. Multiobjective fractional duality , 1988, Bulletin of the Australian Mathematical Society.

[12] T. Weir,et al. A duality theorem for a multiple objective fractional optimization problem , 1986, Bulletin of the Australian Mathematical Society.

[13] W. Rödder. A generalized saddlepoint theory , 1977 .