نتایج جستجو برای: fuzzy conic optimization problem

تعداد نتایج: 1176532  

Journal: :Math. Program. 2018
Jie Sun Li-Zhi Liao Brian Rodrigues

A new scheme to cope with two-stage stochastic optimization problems uses a risk measure as the objective function of the recourse action, where the risk measure is defined as the worst-case expected values over a set of constrained distributions. This paper develops an approach to deal with the case where both the first and second stage objective functions are convex linearquadratic. It is sho...

2015
Refail Kasimbeyli Zehra Kamisli Ozturk Nergiz Kasimbeyli Gulcin Dinc Yalcin Banu Icmen

The paper presents main features of the conic scalarization method in multiobjective optimization. The conic scalarization method guarantee to generate all proper efficient solutions and does not require any kind of cenvexity or boundedness conditions. In addition the preference and reference point information of the decision maker is taken into consideretion by this method. Also in this paper,...

Journal: :Artif. Intell. Research 2013
Alina Ruzíyeva Stephan Dempe

In the present paper a fuzzy bilevel optimization problem is under discussion. The purpose of the paper consists in finding an optimal solution for this problem. Besides the two well-known approaches (pessimistic and optimistic) there exists a quite new selection function approach, which we present here. A sensible attempt to solve a fuzzy bilevel optimization problem through reformulation to a...

2009
Adam Kasperski Pawel Zielinski

In this paper a general bottleneck combinatorial optimization problem with uncertain element weights modeled by fuzzy intervals is considered. A rigorous possibilistic formalization of the problem and solution concepts in this setting that lead to finding robust solutions under fuzzy weights are given. Some algorithms for finding a solution according to the introduced concepts and evaluating op...

Although many methods exist for intensity modulated radiotherapy (IMRT) fluence map optimization for crisp data, based on clinical practice, some of the involved parameters are fuzzy. In this paper, the best fluence maps for an IMRT procedure were identifed as a solution of an optimization problem with a quadratic objective function, where the prescribed target dose vector was fuzzy. First, a d...

2004
Y. Q. Bai G. Q. Wang C. Roos

We present a primal-dual interior-point algorithm for second-order conic optimization problems based on a specific class of kernel functions. This class has been investigated earlier for the case of linear optimization problems. In this paper we derive the complexity bounds O( √ N (logN) log N ) for largeand O( √ N log N ) for smallupdate methods, respectively. Here N denotes the number of seco...

2014
Kun-Yu Wang Anthony Man-Cho So Tsung-Hui Chang Wing-Kin Ma

This technical report serves to provide further simulation results for the paper “Outage constrained robust transmit optimization for multiuser MISO downlinks: Tractable approximations by conic optimization”. In addition to the rate constrained formulation, which is the main focus of the aforementioned main manuscript, we also demonstrate how the proposed methods can be used to tackle the max-m...

Journal: :SIAM Journal on Optimization 2011
Cheng Lu Shu-Cherng Fang Qingwei Jin Zhenbo Wang Wenxun Xing

To find a global optimal solution to the quadratically constrained quadratic programming problem, we explore the relationship between its Lagrangian multipliers and related linear conic programming problems. This study leads to a global optimality condition that is more general than the known positive semidefiniteness condition in the literature. Moreover, we propose a computational scheme that...

2003
G. Iyengar W. Kang

The past decade has seen a growing interest in inverse optimization. It has been shown that duality yields very efficient algorithms for solving inverse linear programming problems. In this paper, we consider a special class of conic programs that admits a similar duality and show that the corresponding inverse optimization problems are efficiently solvable. We discuss the applications of inver...

A fuzzy graph is a symmetric binary fuzzy relation on a fuzzy subset. The concept of fuzzy sets and fuzzy relations was introduced by L.A.Zadeh in 1965cite{zl} and further studiedcite{ka}. It was Rosenfeldcite{ra} who considered fuzzy relations on fuzzy sets and developed the theory of fuzzy graphs in 1975. The concepts of fuzzy trees, blocks, bridges and cut nodes in fuzzy graph has been studi...

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