solving linear semi-infinite programming problems using recurrent neural networks
نویسندگان
چکیده
linear semi-infinite programming problem is an important class of optimization problems which deals with infinite constraints. in this paper, to solve this problem, we combine a discretization method and a neural network method. by a simple discretization of the infinite constraints,we convert the linear semi-infinite programming problem into linear programming problem. then, we use a recurrent neural network model, with a simple structure based on a dynamical system to solve this problem. the portfolio selection problem and some other numerical examples are solved to evaluate the effectiveness of the presented model.
منابع مشابه
Solving Linear Semi-Infinite Programming Problems Using Recurrent Neural Networks
Linear semi-infinite programming problem is an important class of optimization problems which deals with infinite constraints. In this paper, to solve this problem, we combine a discretization method and a neural network method. By a simple discretization of the infinite constraints,we convert the linear semi-infinite programming problem into linear programming problem. Then, we use...
متن کاملA Recurrent Neural Network Model for Solving Linear Semidefinite Programming
In this paper we solve a wide rang of Semidefinite Programming (SDP) Problem by using Recurrent Neural Networks (RNNs). SDP is an important numerical tool for analysis and synthesis in systems and control theory. First we reformulate the problem to a linear programming problem, second we reformulate it to a first order system of ordinary differential equations. Then a recurrent neural network...
متن کاملSolving multiobjective linear programming problems using ball center of polytopes
Here, we aim to develop a new algorithm for solving a multiobjective linear programming problem. The algorithm is to obtain a solution which approximately meets the decision maker's preferences. It is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution. Numerical examples and a simulation study are used to illu...
متن کاملSemi-infinite linear programming approaches to semidefinite programming problems∗
Interior point methods, the traditional methods for the SDP , are fairly limited in the size of problems they can handle. This paper deals with an LP approach to overcome some of these shortcomings. We begin with a semi-infinite linear programming formulation of the SDP and discuss the issue of its discretization in some detail. We further show that a lemma due Pataki on the geometry of the SDP...
متن کاملA new solving approach for fuzzy multi-objective programming problem in uncertainty conditions by using semi-infinite linear programing
In practice, there are many problems which decision parameters are fuzzy numbers, and some kind of this problems are formulated as either possibilitic programming or multi-objective programming methods. In this paper, we consider a multi-objective programming problem with fuzzy data in constraints and introduce a new approach for solving these problems base on a combination of the multi-objecti...
متن کاملRelaxed Cutting Plane Method for Solving Linear Semi-Infinite Programming Problems
One of the major computational tasks of using the traditional cutting plane approach to solve linear semi-infinite programming problems lies in finding a global optimizer of a nonlinear and nonconvex program. This paper generalizes the Gustafson and Kortanek scheme to relax this requirement. In each iteration, the proposed method chooses a point at which the infinite constraints are violated to...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
biquarterly journal of control and optimization in applied mathematicsناشر: payame noor university
ISSN
دوره 1
شماره 1 2015
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023