An Evolutionary Algorithm Using Duality-Base-Enumerating Scheme for Interval Linear Bilevel Programming Problems
نویسندگان
چکیده
منابع مشابه
An Evolutionary Algorithm for Solving Bilevel Programming Problems Using Duality Conditions
Bilevel programming is characterized by two optimization problems located at different levels, in which the constraint region of the upper level problem is implicitly determined by the lower level problem. This paper is focused on a class of bilevel programmingwith a linear lower level problem and presents a new algorithm for solving this kind of problems by combining an evolutionary algorithm ...
متن کاملDuality Theory for Interval Linear Programming Problems
We define the primal and dual linear programming problems involving interval numbers as the way of traditional linear programming problems. We discuss the solution concepts of primal and dual linear programming problems involving interval numbers without converting them to classical linear programming problems. By introducing new arithmetic operations between interval numbers, we prove the weak...
متن کاملAn Evolutionary Algorithm Based on a New Decomposition Scheme for Nonlinear Bilevel Programming Problems
In this paper, we focus on a class of nonlinear bilevel programming problems where the follower’s objective is a function of the linear expression of all variables, and the follower’s constraint functions are convex with respect to the follower’s variables. First, based on the features of the follower’s problem, we give a new decomposition scheme by which the follower’s optimal solution can be ...
متن کاملAn Algorithm for Solving Interval Linear Programming Problems
This paper presents en algorithm for solving interval linear programming problems. The algorithm is a finite iterative method, which in each iteration solves a full row rank interval linear progranming problem, with only one additional constraint. The solution and/or problem chosen appears to be conputationally more efficient than that in the Ben-Israel and Robers algorithm.
متن کاملA new method for solving fully fuzzy linear Bilevel programming problems
In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear Bilevel programming (FFLBLP) problems by representing all the parameters as triangular fuzzy numbers. In the proposed method, the given FFLBLP problem is decomposed into three crisp linear programming (CLP) problems with bounded variables constraints, the three CLP problems are solved separately...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2014
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2014/737515