Generalized pseudofractional max-min problems. (English) Zbl 0655.90083

Stancu-Minasian, I. M.; Tigan, S.

Prepr., “Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1988, No. 6, 295-302 (1988).

We consider some nonlinear max-min problems with generalized linear constraints and pseudofractional objective functions. These problems are extensions of Dantzig-Wolfe’s generalized linear programs [see G. B. Dantzig, “Linear programming and extensions” (1963; Zbl 0108.331)]. We show that these max-min problems can be reduced to some generalized bilinear max-min problems with linear constraints and can be solved by generalized linear programming algorithms.

MSC:

90C32	Fractional programming
90C05	Linear programming
49J35	Existence of solutions for minimax problems

Keywords:

nonlinear max-min problems; generalized linear constraints; pseudofractional objective functions; generalized bilinear max-min problems; linear constraints

Citations:

Zbl 0108.331