Single-ratio and multi-ratio fractional programs in applications are often generalized convex programs. We begin with a survey of applications of single-ratio fractional programs, min-max fractional programs and sum-of-ratios fractional programs. Given the limited advances for the latter class of problems, we focus on an analysis of min-max fractional programs. A parametric approach is employed to develop both theoretical and algorithmic results.
|Keywords||Single-ratio fractional programs, applications of fractional programs to management science and engineering, generalized fractional programs, min-max fractional programs, parametric approach, sum-of-ratios fractional programs|
Frenk, J.B.G., & Schaible, S.. (2004). Fractional Programming (No. ERS-2004-074-LIS). Retrieved from http://hdl.handle.net/1765/1610