Perspective functions have long been used to convert fractional programs into convex programs. More recently, they have been used to form tight relaxations of mixed-integer nonlinear programs with socalled indicator variables. Motivated by a practical application (maximising energy efficiency in an OFDMA system), we consider problems that have a fractional objective and indicator variables simu...

In our earlier articles, we proposed two methods for solving the fully fuzzified linear fractional programming (FFLFP) problems. In this paper, we introduce a different approach of evaluating fuzzy inequalities between two triangular fuzzy numbers and solving FFLFP problems. First, using the Charnes-Cooper method, we transform the linear fractional programming problem into a linear one. Second,...

abstract.   the sturm-liouville boundary value problem of the multi-order fractional differential equation  is studied. results on the existence of solutions are established. the analysis relies on a weighted function space and a fixed point theorem. an example is given to illustrate the efficiency of the main theorems.

The optimal fractional order should be determined for image denoising by 2-D fractional wavelet transform (FWT). However, the actual application environment is complex, and the input image has already been polluted by unknown noise frequently in the process of capture and transmission. It is impossible to get the optimal fractional order on the basis of the objective evaluation standard in exis...

Sustainability is important in voltage regulation control grids and must be done successfully. In this paper, a novel tilt-fractional order integral-derivative with second derivative low-pass filters controller, referred to as TIλDND2N2 proposed enhance the performance of an automatic regulator (AVR). article, equilibrium optimizer (EO) algorithm used optimally determine eight parameters contro...

This paper presents a linear fractional programming approach for solving multi objective linear programming problem. We develop a model to solve multi objective linear programming problem into fractional programming problem and proposed a method for linearization of a fractional objective. In particular, we consider the optimization of ratio of profit and cash expenditure as fractional objectiv...

We use potentials for calculate a reduced costs in the increment of the objective function for the linear-fractional non-homogeneous flow programming optimization problem with additional constraints of general kind. The effective algorithm for solution of the system of potentials for a sparse matrix is considered. AMS Subject Classification: 65K05, 90C08, 90C35, 05C50, 15A03, 15A06