Solving Large-scale Three-level Linear Fractional Programming Problem with Rough Coefficient in Objective Function

On Fuzzy Three Level Large Scale Linear Programming Problem

This paper suggests an algorithm to solve a three level large scale linear programming problem with fuzzy numbers, where all coefficients of the objective functions are symmetric trapezoidal fuzzy numbers. A three-level programming problem can be thought as a static version of the Stackelberg strategy. The suggested algorithm uses a linear ranking function at each level to define a crisp model ...

A Decomposition Algorithm for Solving a Three Level Large Scale linear Programming Problem

This paper presents a three level large scale linear programming problem in which the objective functions at every level are to be maximized. A three level programming problem can be thought as a static version of the Stackelberg strategy. An algorithm for solving a three planner model and a solution method for treating this problem are suggested. At each level we attempt to optimize its proble...

A Fuzzy Approach for Solving a Three–Level Large Scale Linear Programming Problem

This paper studies a three-level large scale linear programming problem, in which the objective functions at every level are to be maximized. Three-level programming problem can be thought as a static version of the Stackelberg strategy, which is used leader-follower game in which a Stackelberg strategy is used by the leader. This paper proposes a fuzzy approach for solving a three-planner mode...

Solving multi objective linear Bilevel multi follower programming problem

On Bi-Level Multi-Objective Large Scale Quadratic Programming Problem

This paper presents a bi level large scale multi objective quadratic programming problem (BLLSMOQPP) with fuzzy parameters in the objective functions problem. In the first phase convert the fuzzy parameters of the problem to equivalent crisp problem to make it easy in solving. In the second phase use Taylor series to convert the quadratic problem to linear problem to be easy for solving with th...