Fractional 0–1 programming: applications and algorithms
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Global Optimization"
DOI: 10.1007/s10898-016-0487-4
Abstract: We consider a class of nonlinear integer optimization problems commonly known as fractional 0–1 programming problems (also, often referred to as hyperbolic 0–1 programming problems), where the objective is to optimize the sum of ratios… read more here.
Keywords: programming; programming applications; fractional programming; applications algorithms ... See more keywords
Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1203-3
Abstract: We consider the problem of optimizing the ratio of two convex functions over a closed and convex set in the space of matrices. This problem appears in several applications and can be classified as a… read more here.
Keywords: convex fractional; double convex; fractional programming; gradient method ... See more keywords
Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-021-01829-8
Abstract: In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scenario. The concept of… read more here.
Keywords: optimality conditions; fractional programming; necessary optimality; complex fractional ... See more keywords
A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-016-0261-9
Abstract: Optimizing the ratios within the constraints is called fractional programming or ratio optimization problem . If one can optimize several ratios objectives simultaneously, then it is called multi-objective fractional problem (MOFP). This paper presents a… read more here.
Keywords: review multi; fractional programming; mofp; multi objective ... See more keywords
A revisit of numerical approach for solving linear fractional programming problem in a fuzzy environment
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.01.008
Abstract: Abstract In the article, Veeramani and Sumathi [10] presented an interesting algorithm to solve a fully fuzzy linear fractional programming (FFLFP) problem with all parameters as well as decision variables as triangular fuzzy numbers. They… read more here.
Keywords: programming; programming problem; fuzzy; fractional programming ... See more keywords
Bistatic MIMO DFRC System Waveform Design Via Fractional Programming
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2023.3279900
Abstract: The Cramér-Rao lower bound (CRLB) and sum-rate (SR) are widely-used metrics in the radar parameter estimation performance evaluation and communication quality-of-service (QoS) assessment, respectively. In this paper, we adopt these two metrics in waveform design… read more here.
Keywords: function; design; mimo dfrc; fractional programming ... See more keywords
Genetic algorithmic based approach for multiple-objective probabilistic fractional programming problem involving discrete random variables
Sign Up to like & getrecommendations! Published in 2022 at "PLoS ONE"
DOI: 10.1371/journal.pone.0274619
Abstract: This manuscript presents a technique for solving a multiple-objective probabilistic fractional programming problem with discrete random variables. A multiple-objective probabilistic mathematical model is constructed with fractional objectives. In the model, some parameters of coefficients and… read more here.
Keywords: programming problem; multiple objective; fractional programming; random variables ... See more keywords
Efficient algorithms for solving nonlinear fractional programming problems
Sign Up to like & getrecommendations! Published in 2019 at "Filomat"
DOI: 10.2298/fil1907149d
Abstract: In this paper, an efficient algorithm based on the Pascoletti-Serafini scalarization (PS) approach is proposed to obtain almost uniform approximations of the entire Pareto front of bi-objective optimization problems. Five test problems with convex, non-convex,… read more here.
Keywords: fractional programming; algorithm based; solving nonlinear; programming problems ... See more keywords
On Fuzzy Linear Fractional Programming Problems via α-Cut-Based Method with Application in Transportation Sector
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020419
Abstract: The article provides an α-cut-based method that solves linear fractional programming problems with fuzzy variables and unrestricted parameters. The parameters and variables are considered as asymmetric triangular fuzzy numbers, which is a generalization of the… read more here.
Keywords: programming problems; cut; fractional programming; based method ... See more keywords