نتایج جستجو برای: fractional quadratic optimization

تعداد نتایج: 416225  

Journal: :journal of mathematical modeling 2015
maziar salahi arezo zare

in this paper, we study the problem of minimizing the ratio of two quadratic functions subject to a quadratic constraint. first we introduce a parametric equivalent of the problem. then a bisection and a generalized newton-based method algorithms are presented to solve it. in order to solve the quadratically constrained quadratic minimization problem within both algorithms, a semidefinite optim...

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

We consider a fractional program with both linear and quadratic equation in numerator and denominator  having second order cone (SOC) constraints. With a suitable change of variable, we transform the problem into a  second order cone programming (SOCP)  problem.  For the quadratic fractional case, using a relaxation, the problem is reduced to a semi-definite optimization (SDO) program. The p...

Journal: :Math. Program. 2014
Paula Amaral Immanuel M. Bomze Joaquim Júdice

We provide Completely Positive and Copositive Optimization formulations for the Constrained Fractional Quadratic Problem (CFQP) and Standard Fractional Quadratic Problem (StFQP). Based on these formulations, Semidefinite Programming (SDP) relaxations are derived for finding good lower bounds to these fractional programs, which can be used in a global optimization branch-and-bound approach. Appl...

Journal: :international journal of industrial mathematics 0
k. lachhwani department of mathematics, government engineering college, bikaner- 334004, india.

multi objective quadratic fractional programming (moqfp) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the object...

2010
Carlos Matos Manuel Duarte Ortigueira

The design and optimization of fractional filters is considered in this paper. Some of the classic filter architectures are presented and their performances relatively to an ideal amplitude spectrum evaluated. The fractional filters are designed using the differential evolution optimization algorithm for computing their parameters. To evaluate the performances of all the filters the quadratic e...

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objecti...

2006
Oleg A. Prokopyev Panos M. Pardalos Joseph Geunes Stanislav Busygin W. Art Chaovalitwongse Carlos Oliveira Manki Min Christodoulos A. Floudas Mauricio G. C. Resende Vladimir Boginski Michael Zabarankin Sergiy Butenko Vitaliy Yatsenko Hoki Fung Hongxuan Huang

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy NONLINEAR INTEGER OPTIMIZATION AND APPLICATIONS IN BIOMEDICINE By Oleg A. Prokopyev August 2006 Chair: Panos M. Pardalos Major Department: Industrial and Systems Engineering In this dissertation we consider fractional and quadratic 0-1 o...

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