Global optimization for sum of geometric fractional functions

DOI10.1016/j.amc.2010.03.061zbMath1195.65076OpenAlexW2056970292MaRDI QIDQ983970

Pei-Ping Shen, Chun-Feng Wang, San-Yang Liu

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.061

zbMATH Keywords

global optimizationconvergencenumerical resultsbranch and bound algorithmlinear relaxationsum-of-ratiosfractional function

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Fractional programming (90C32)

Related Items (3)

Minimizing the sum of many rational functions ⋮ Globally minimizing the sum of a convex-concave fraction and a convex function based on wave-curve bounds ⋮ A parametric solution method for a generalized fractional programming problem

Cites Work

• A branch-and-bound algorithm for maximizing the sum of several linear ratios
• Using concave envelopes to globally solve the nonlinear sum of ratios problem
• Global optimization of nonlinear sum of ratios problem
• Global minimization of a generalized convex multiplicative function
• Global optimization of nonconvex polynomial programming problems having rational exponents
• Global optimization with higher order inclusion function forms. I: A combined Taylor-Bernstein form
• Global optimization of signomial geometric programming using linear relaxation.
• Minimization of the sum of three linear fractional functions
• Solving the sum-of-ratios problem by an interior-point method
• On the posynomial fractional programming problems
• An efficient algorithm for globally minimizing sum of quadratic ratios problem with nonconvex quadratic constraints
• Global optimization for the sum of generalized polynomial fractional functions
• BOND PORTFOLIO OPTIMIZATION BY BILINEAR FRACTIONAL PROGRAMMING
• BOND PORTFOLIO OPTIMIZATION PROBLEMS AND THEIR APPLICATIONS TO INDEX TRACKING : A PARTIAL OPTIMIZATION APPROACH
• Global optimization algorithm for the nonlinear sum of ratios problem

This page was built for publication: Global optimization for sum of geometric fractional functions