An introduction to ratio optimization problems is provided which covers various applications
as well as major theoretical and algorithmic developments. In addition to an extensive …

We propose an algorithm to solve generalized fractional programming problems. The
proposed algorithm combines the parametric approach and the Huard method of centers. A …

Both parametric and nonparametric necessary and sufficient optimality conditions are
established for a class of nonsmooth generalized fractional programming problems …

We present an interior-point method for a family of multi-fractional programs with convex
constraints. The programs under consideration consist of minimizing the maximum of a finite …

This bibliography of fractional programming is a continuation of three previous
bibliographies by the author (Pure Appl. Math. Sci.(India), Vol. XIII, No. 1-2, 35-69, March …

We develop a long-step surface-following version of the method of analytic centers for the
fractional-linear problem min {t 0| t 0 B (x)− A (x) ε H, B (x) ε K, x ε G}, where H is a closed …

Both parametric and parameter-free saddle-point-and stationary-point-type necessary and
sufficient optimality conditions are established for a class of continuous-time generalized …

We establish polynomial time convergence of the method of analytic centers for the
fractional programming problem t→ min| x∈ G, tB (x)− A (x)∈ K, where G⊂ ℝ n is a closed …

Both parametric and parameter-free necessary and sufficient optimality conditions and
several duality models are presented for a class of continuous-time generalized fractional …